Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

Q: Hello, I need to evaluate the limits below but the grahp is made on paint, sorry about that.…

A: Given graph of function

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Q: The amount, A, of 159 grams of a certain radioactive material remaining after years can be found by…

A: Given that the amount A of 159 grams of a certain radioactive material remaining after t years is

Q: Evaluate the following limits algebraically. 2. lim x---> 2^-      (x+4) / (x^2 + 2x - 8) 4. lim…

A: To evaluate the following limits.

Q: If f(x) f'(x) = = x² S²³ to dt then

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Q: Find all exact solutions on the interval 0 ≤ 0< 360°. If there is more than one answer, enter them…

A: 2 cos(theta) = - sqrt(2), [0,2 pi)

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Find the volume of the solid generated when the shaded area is revolved about y = -1. y y = 2x y=x²…

A: To find the volume of the solid generated when the shaded area is revolved about .

Q: Please do part a)

A: The objective of this question is to find the general solution of the given linear nonhomogeneous…

Q: You have to examine the relationship between the age and price for used cars sold in the last year…

A: From the above table we…

Q: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

A: 7. An actuary invests $26,000 in two bonds. If one bond yields 12% and the other yields 7%, how much…

Q: k. y = ln x 1. m. y = y = 5 cos x + 8 lnx + 3x³ 3x¹+3x²+1 x

A: Given: y= ln(x)Solution: y= ln(x)Differentiating y with respect to x we have dydx= ddx(ln(x)) ⇒y′=1x

Q: 3. (a) (b) YA -2- X 0 g(x) Let f be the function whose graph is given below. X g'(x) 0 2 Complete…

A: As per our guidelines, we can solve first one as your both parts are not small. Please repost the…

Q: Given 6xy= 2 + y³ ,  a) Find the coordinates of a point on the curve at which the line tangent to…

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Q: 06

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Q: 1. Decide whether each of the following sentences is valid, satisfiable or unsatisfiable: a) Smoke…

A: Here given a different sentences.The objective is to check that the given sentences are valid,…

Q: 8. An engineer invests $27,000 in two bonds. If one 7% and the other yields 9%, how much is invested…

A: Let engineer invest $x on one bond which yields and  on another bond which yields

Q: Find the area of the region between the curve and the x-axis. f(x) = 16-x², from - 7 to 7

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Q: A firm's marginal cost function is MC(q) = 5q¹ + 4q + 10. Find the total cost function if the fixed…

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Q: Evaluate the limit, limx→∞ 3x² e4x

A: L=limx→∞e4x3x2

Q: At time t=0, a particle is located at the point (1,5,4). It travels in a straight line to the point…

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Q: Given y = f(u) and u = g(x), find - (3) ² y=9u-5, u= dy dx = f'(g(x))g'(x).

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Q: The point(s) is/are (Type an ordered pair. Use a comma to separate answers as neeeded.)

A: Given that the graph with tangent line parallel to y=3x+1 we have to find the point is/are?

Q: a) For the context below, define a set of 3 variables, write an appropriate system of equations, and…

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Q: 1. Find the derivative of the following functions: a. y = x² b. y=x4 c. y=- X

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. an = tan -1…

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Q: A water tank has the shape of an inverted cone with height 9 m and top radius 8 m. If V and h…

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Q: Find the centre of mass of the region between y = x x² and y = x³ from x = 0 to X = 1.

A: The objective of this question is to find the centre of mass of the region between the curves y =…

Q: (a) Find expressed as a function of t for the given the parametric equations: dy dx dy dx d²y dx²…

A: Given: To Find: (a) To find .(b) To find .

Q: Find the position and velocity of an object moving along a straight line with the given…

A: The integration of acceleration function gives velocity

Q: Find the interval I and radius of convergence R for the given power series. (Enter your answer for…

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Q: Use chain rule to find the derivative of the following functions: a. y = sin(5x) b. y = cos(x²) c. y…

A: We have to find the derivative of the following functions by using the chain rule.Chain Rule: In…

Q: 5. Using Geogebra, draw the polar curve, r = sin³ (2.50) +cos³(2.50),0 ≤ 0 ≤ 2ñ.

A: Consider the curve

Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are The functions f and g considered to be orthogonal on interval  if

Q: The compound amount, A, accrued with continuous compounding is given by A= P.100.4343rt, where P is…

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Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -1, v(0) = -7,…

A: Given that u and v are function of x that are differentiable at x=0At  To find:we have to find the…

Q: g(t) = t³+ t².

A: g(t)=t3+t2

Q: 2. For the function g whose graph is shown, state the following. (b) lim g(x)= x-0 (a) lim g(x)=…

A: The graph of the function is given.The aim is to find the e)The equation of the vertical asymptotes.

Q: 7. Determine critical points for each of the following functions. 2 d. y = x² 32√x e. y = x³ + 3x² -…

A: To determine the critical points for each of the following functions.

Q: The function f(x)=x^3 - 3x^2 - 9x D. Where is the function f(x) concave up or down? E. What are…

A: The given function is

Q: What is the domain of the function shown in the graph below? -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 10 9 8 7…

A: To find the domain of the function shown in the graph below.

Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: Find a power series representation for the function. ( ) = n( 11 + y )

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Q: The figure below shows the derivative F'. If F (0) = 15, give (x, y)-coordinates of all local maxima…

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Q: The system of differential equations : has the solution Y = C₁ et V₁ + C₂ ezt V₂ + C3 e¹³ V3 where…

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Q: Find ∫∫R(5x+2y)dAwhere R is the parallelogram with vertices (0,0), (-2,3), (5,-4), and (3,-1). Use…

A: We need to find the integral value of given data.

Q: 4. Using Geogebra, draw the parametric curve, x = sin³t+cos³t; y = sin² t - cos²t,0 ≤t≤ 2n-

A: The given curve is,The given interval is,

Q: Find the domain of f(x). ƒ(x) = √6x + 6

A: Given that a function of f(x) and we find the domain of the f(x).

Q: Evaluate in Cylindrical Coordinates D bounded by z= x² + y² and the plane z = 1 ff zdxdydz stealevi

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