3- 2- 1 -4 -3 -2 -10 -1- -2- 1 2 3 4 5 Graph of g 6 7 8 3. The function g is defined on the closed interval [-4, 8]. The graph of g consists of two linear pieces and a semicircle, as shown in the figure above. Let f be the function defined by f(x) = 3x + g(t) dt. (a) Find f(7) and f'(7). (b) Find the value of x in the closed interval [-4, 3] at which fattains its maximum value. Justify your answer.

Q: The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games"…

A:

Q: 왜 The graph of the increasing differentiable function f is shown above. Also shown is the line…

A:

Q: A solid is bounded below by the cone z = √x² + y² and above by the plane z = 1. Find the center of…

A:

Q: Question A solid of revolution is generated by rotating the region between the x-axis and the…

A: The objective of this question is to find the volume of a solid of revolution generated by rotating…

Q: As a car accelerates, it does not accelerate at a constant rate; rather, the acceleration is…

A:

Q: Find an equation of the tangent line to f(x) = 4x^3 - 10x at the point (1,-6).

A: The objective of this question is to find the equation of the tangent line to the function f(x) =…

Q: 283. ys (1 − µ³) 3/2 dy -

A: By using a suitable change of variables to determine the following indefinite integral.

Q: Let A be the area under y = e and above the x-axis, on [0,a]. Let B be the area under y = e and…

A: The area under a curve y = f(x) and above the x axis on [a,b] is

Q: If a = 37.7, what is O a. 2232.56 O b. 61.22 O c. 12.64 O d. 8934.23 O e. 4466.11 ["va² √a² = x²dx

A:

Q: dx 4. √ (sec 3x)√1-cos² 3.x S

A: 1/secx = cosx 1-cos2x = sin2x cosx/sinx = cotx

Q: A farmer wants to put up a fence on his property to create a rectangular pen with an area of 1250…

A: A farmer wants to put up a fence on his property to create a rectangular pen with an area of 1250…

Q: Find the equation for the tangent plane to the surface 9x² + 8y² - z = 0 at the point (2,1,44)

A: Consider the surface

Q: f(x) Answer 2x² + x - 28 2x - 12

A:

Q: If f(x) = 2 - x / 5x , determine the equation of f^ -1(x) , the inverse of f(x).

A: Given, the functionWe determine the equation of .

Q: Identify the inflection points and local maxima and minima of the function graphed to the right.…

A:

Q: 2. Consider a function g(x, y, z) = 1 + ln(3x + 6y +9z) and a vector u = (0, -1, 1). (a) Find the…

A:

Q: Find a function f that has the derivative f '(x) and whose graph passes through the given point.…

A:

Q: Perform the integration indicated. '1 x dx x² + 1 I'v

A:

Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give…

A:

Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 10- 5x + 4y…

A: The given region is bounded by the curve in the interval .The aim is to find the volume of the…

Q: A loan of  $76,600 is to be repaid with monthly payments for 25 years at 6 % interest compounded…

A: The monthly payment is calculated by formula-PMT=P×r×(1+r)n(1+r)n–1is basic formula that works in…

Q: Maximize p = 2x + 3y + 5z 2y + 2y + Y + Subject To: 2x + X ++ X + IA IA IA 2 3x < z 10 15 40

A:

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of…

A: Consider the integral

Q: Test the field f to determine if it's conservative. F=x⁵y⁵z⁵i+x⁵y⁵z⁵j+z⁵k Conservative or not…

A:

Q: g (t) = = 3+t+t² √t

A:

Q: The system dx/dt = x + y, dy/dt = x + 2y + 1 has a constant solution. true or false?

A: dx/dt = x + y,dy/dt = x + 2y + 1

Q: For the following exercises, draw the region bounded by the curves. Then, use the disk method to…

A: Here we have to draw the region bounded by the curves. Then, use the disk method to find the volume…

Q: 11. [(5+ se + secx tan x-sec² x) d=

A: The given integral is 5+secxtanx-sec2x

Q: A baseball team plays in he stadium that holds 68000 spectators. With the ticket price at $9 the…

A: We have given that stadium holds 68000 spectators.When the ticket price at $9 the average attendance…

Q: Evaluate the following indefinite integrals: a. S 1 x²√36-x² - dx b. X -9 - 11-364 c. [²√²+² d.…

A: Since you have asked multiple questions, we will solve the first question for you.If you want any…

Q: 1. Find dy/dx: 5x² 10X (a) y = 3√x - 5x² 3x (d) y = xe³x - ln(x² + 1)

A: As per your demand we solve question 1 part dThe given function is

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) (VSt) 5t cos 5t dt

A:

Q: A particle moves on the circle x² + y² = 100 in the xy-plane for time t > 0. At the time when the…

A:

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A:

Q: Which of the following limits does not yield an indeterminate form? A B 4x³ lim x→0 cos(x)—1 lim x-3…

A: The indeterminate form:

Q: 1. True or False. Please answer the following questions true (T) or false (F) in the boxes provided.…

A: To determine whether the following statement is true (T) or false (F).The function  does not have a…

Q: ·S 61. cos (1/x) x2 dx.

A:

Q: A straight trail with a uniform inclination of 11° leads from a lodge at an elevation of 900 feet to…

A:

Q: Two six sided dice are rolled, and the numbers are observed. What is the probability that the two…

A:

Q: Find r'(t), r(t), and r'(to) for the given value of to. r(t) = (et, e²t), to = 0 r'(t) = r(to) r'(t)…

A:

Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

A:

Q: Use the substitution formula to evaluate the integral. T. √ cos 2 (0³/2) de T. 0 (Type an exact…

A:

Q: Let f be the decreasing function defined by f(x) = -x³ - 6x² – 12x + 8, where ƒ(4) = −8. If g is th…

A: Given that f be the decreasing function defined by,  where If g is the inverse function of the…

Q: A 13 -bot ladder is leaning against a wall. If we push the bottom of the ladder toward be wall at…

A:

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

A: f(x)=(x2+11x-12)

Q: Find the indicated angle 8. (Use either the Law of Sines or the Law of Cosines, as appropriate.…

A:

Q: Find the vertex and focus of the parabola 5 - x = y² + 3y.

A:

Q: 5. An object moves along a coordinate line with velocity v(t) = 6t² - 6 units per second. Its…

A: We have to use the basic concept of definite integration.

Q: Let f(x) = x sin^2x, g(x) = x cos^2x, and h(x) = x. Then the functions f, g, and h are linearly…

A:

Q: 3. DETAILS SPRECALC7 2.6.057. A function is given, and the indicated transformations are applied to…

A: