If s(-2) = 1 and s'(x) < −3 on [-2,9],

Q: Find the derivative of the function. (37) 2 S = sin 3nt 2 - COS

A: Given,

Q: (b) Use Desmos to graph the surface area function on the following coordinate system. Label each…

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Q: Suppose that SpaceX launches a rocket at t = 0 seconds and that its height, in meters above…

A: Given the height of rocket is

Q: Find the derivative of the function. s= sin O A. О в. Злт 2 32 Зл 2 COS Зл OD. cos COS 0 с. COS 2…

A: Given data

Q: X = = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

A: Consider the parametric equation

Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

A: The vectors are given by(a) The component form of the vector  can be obtained as follows:

Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: 6. Let So f(x) dx = 12, 5 Calculate the following integrals. (a) [°*3f(x)dx = (b) *2f(x) – g(x)dx =…

A: Let To calculate the following: (c) If  is an odd  function, then to find .Note:  Since, the student…

Q: Determine the value of x(t) at t = 0 given its Laplace transform. Choose your answers form the…

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Q: Vectors A and B form a 30° angle. A = 3 and || = 5. What is A - B? a) 36 b) 2.83 c) 6 d) 10.02

A: The angle between the vectors  isThe magnitude of the vectors are and To determine: The value of…

Q: Find the logarithm. 1 log 5 625

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Q: 6. Find the first term (a,) and the common difference (d) for the arithmetic sequence: S5 = -105, a5…

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Q: Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph…

A: The objective of this question is to understand the graph of the function f(x) = 5 + 2e^(-0.1x) and…

Q: Graph the following function. Then use geometry (not Riemann sums) to find the area and the net area…

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Q: Suppose your newspaper is trying to decide between two competing desktop publishing software…

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Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f…

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Q: Let F(x) = f f(t) d t Sa f(t) dt, where f is the function whose graph is shown. Evaluate F(7)

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Q: Suzanne must choose between two job offers. The first job offers $56,000 for the first year. Each…

A: Given that Suzanne must choose between two job offers. The first job offers $56,000 for the first…

Q: Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.003t² +0.2t, where…

A: Given that in a memory experiment the rate of memorizing is given by  ,where M'(t) is the memory…

Q: JO 1/8 ន √1 16x2 dx

A: By change of variables to evaluate the following definite integrals.

Q: -10-9-8- -1⁰+ Given the graph of f(x) shown above, evaluate lim f(x). Select the correct answer…

A: The condition of the existence of limit at

Q: Time (secs) 0 30 60 90 120 150 180 Speed (mi/secs) 0.00 0.03 0.08 0.16 0.27 0.42 0.65 9. The table…

A: Given Information table is as follows

Q: A particle starts out from the origin. Its velocity, in miles per hour, after t hours is given by…

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Q: Question 98 Determine the order of the given transfer function. Choose one answer from the provided…

A: Order of a Transfer Function:  In a Transfer Function, order of the system can be defined as the…

Q: 1 1 Find the area of the surface generated by revolving the curve x = cos (4t), y = 2 + ¯sin (4t) on…

A: x=14cos⁡(4t),y=2+14sin⁡(4t) on 0≤t≤π4 about the x-axis. ddxsin⁡(ax)=acos⁡(ax)ddxcos⁡(ax)=−asin⁡(ax)

Q: Find a parametric representation for the lower half of the ellipsoid 2x2 + 6y2 + z² = 1. (Enter your…

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Q: Given the graph of the function f (a) below, use a left Riemann sum with 4 rectangles to approximate…

A: Given the graph of the function  below, by using  a left Riemann sum with 4 rectangles to…

Q: Find the area of the parallelogram whose vertices are given below. A(-1,2) B(4,0) C(12,1) D(7,3) The…

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Q: Estimate the area under the graph of f(x) =3x² + 12x + 14 over the interval [0, 3] using five…

A: To estimate the area under the graph of  over the interval  by using five approximating…

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A: The given integral is

Q: The graph of a function f(x) is given below. Use the midpoint Riemann sum with 4 sub-intervals to…

A: A graph of the function is given.The aim is to find the midpoint Riemann sum with  subdivisions.

Q: Evaluate the following integral. 2 | (0²-0 -2 (4y -6y+6) dy

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Q: 2 x² e ³+1 dx

A: We do only first part of multiple questions.please re-post other parts.

Q: Find the area of the region R under the curve of f(x) = from x= -1 to x = 1.

A: f(x)=e(1/2)x from x=−1 to x=1

Q: Combine the integrals into one integral, then evaluate the integral. 5 la-sa-fa-sa (7x-2) dx +6J (x…

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Q: Find the value or values of c that satisfy the equation the given function and interval. f(x) = 7x +…

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Q: Given the following graph of the function y = f(x) and n = 6, answer the following questions about…

A: We have given a graph of function y=f(x).We have to use the Trapezoidal Rule and Simpson's Rule to…

Q: Draw the region whose area is given by the definite integral. (6-2 (6 - 2x)dx

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Q: Find the area of the region between the curves y = x(1-x) and y = 4 from x=0 to x = 1.

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Q: Let u = (5,-4) and v= (-4,7). Find the (a) component form and (b) magnitude (length) of the vector.…

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Q: d) Write an expression that represents the approximate value of g(x) for a generic value x in the…

A: The graph of the function g'(x) is shown as,

Q: (BC Topic) Which of the following integrals gives the arc length of the graph of f(x) = cos2x + 5…

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Q: Use Newton's method to estimate the one real solution of x³ +5x-4 = 0. Start with x = 0 and then…

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Q: a) dx dy b) = dx c) = ln(x) ex dy dx = x² + e¹0x = yx³ if y(0) = 4 ifdy |x=1 = e² dx if y(0) = 1

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Q: For which value(s) of x does f(x) = 6x + 11 have a tangent line of slope -2? If there is more than…

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Q: Given the following limit Select all that apply Olim f(x) exists. which of the following must be…

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Q: In 1619, the German astronomer Johannes Kepler showed that the square of the period of a planet (how…

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Q: The time it takes an object to hit the ground, if air resistance is ignored, is a function only of…

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Q: Given the graph of the function f (x) below, estimate the slope of the tangent line to the curve at…

A: The tangent line of a curve at a given point is a line that just touches the curve (function) at…

Q: Suppose we are trying to show that lim f(x) = L where the graph of f (x) is given below. A distance…

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