Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2. ftc F(x) F(0) F(x) I = = F(T) = - [ = = cos Ꮎ ᏧᎾ

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A: Given function

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A: Given that a physician invests 24000 dollars in two bonds , 6% and 12% , total annual income 1980…

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A: .

Q: (4) Find the maximum and minimum values of f(x, y) = xy on the ellipse x² - xy + y² = 1.

A: The given equation of function  Let

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A: Explaination of answer is as follows

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A: Given that the expression f(x)= g(x)/ x, and g(x)= x + cosx  (defined at interval 0, 2π) we have to…

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Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: The objective of this question is to find the critical numbers and the open intervals on which the…

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Q: (d). find the y-intercept. (e). Graph f(x)=-4x²-24x-32. Include a table of values. (f). Give the…

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Q: 7. The sum of measures of the angles of a triangle is 180 degree. The smallest angle of the triangle…

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Q: Consider the following. f(x) = 48x − 4x2 Find  f '(x). f '(x) =        Find the critical…

A: The objective of this question is to find the derivative of the function f(x) = 48x - 4x^2 and then…

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

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A: Solution is following in explanation step.

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A: To find the value of y, substitute the value of x and solve for y.To find the value of x, substitute…

Q: Evaluate the following expression. log77⁹

A: ...(1)                         ...(2)

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A: The figure

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Q: Determine the area of the given region under the curve. 1 y X

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A: The given equation is

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A:

Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

A: The given equation is;2sinxcosx + sqrt(3)sinx=0

Q: Which of the following are solutions to the following differential equation. xy + y = x lnx;_y(1) =…

A:

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: The objective of this question is to find the critical numbers and the open intervals on which the…

Q: Write the integral as the sum of the integral of an odd function and the integral of an even…

A:

Q: 45-74. Definite integrals Use a change of variables or Table 5.6 to evaluate the following definite…

A: According to the bartleby guide line we do only first part of multiple questions.(46) Let assume,

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A: Here  we have to find the integral along closed path.

Q: Find the sum of the series: Σ n=1 2 (n + 6)(n + 4)

A:

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Q: If f(x) - Sto = t5 dt then f'(x) = and ƒ'(−4) =

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Q: A small resort is situated on an island that lies exactly 6 miles from P, the nearest point to the…

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Q: Evaluate each expression using the graphs of y = f(x) and y = g(x) shown below. a) (gof)(2) b)…

A: To evaluate each of the following expression by using the graphs of  shown below.

Q: 17. Determine whether the sequence converges or diverges. Find the limit if converges: a = 2n+3 2n+1…

A: To determine whether the sequence converges or diverges.To find the limit if it converges.

Q: Find functions f and g so that fog=H. 9 H(x) = (9x + 6) Choose the correct pair of functions. ..

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Q: Given f(x)=x³32, find f'(x)

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Q: 37. se sec² (10x + 7) dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Question Find the area A of the region that is bounded between the curve f(x) = -2 sin () - 3 and…

A: To find the area A of the region that is bounded between the curve  over the interval .

Q: Use the graph to evaluate the limit. lim f(x) X→-1 X G

A:

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: I For f(x) = x-2 4x+20 (a) f(-6) (6) f(2) (C) f(-5) (a) f(a+3) find

A: The given function is To find:-

Q: Evaluate the following. log 6216

A: Let .We know that,

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A:

Q: Find an antiderivative of the function p(t) = t³ - 2 I t.

A: p(t)=t5−t42−t