Let F(x) = f(f(æ)) and G(x) = (F(x))² . You also know that f(3) = 6, f(6) = 2, f'(6) = 5, f'(3) = 15 Find F'(3) and G'(3) =

Q: 9 5+ 8 g(x) 7- 4- h(x) 3- 5- 4- 2- 2- 1 1 2 3 X-values 3 X-values 1 g(x) , then h(x) If f(x) f'(3) =…

A:

Q: Use the integral test to determine the convergence or divergence of the series. 1 20) E k = 1 6k- 1

A: Let's find.

Q: The integral of the given function f 8e2*dx is equal to а. 4(е?) b. 4(e² – e*) с. 4 (e* — е?) d.…

A:

Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + = subject to x2 + y…

A:

Q: 14. The f'(4) for y = v3x2 + 1

A:

Q: Question 21 (-1 )dr In (z + a+ 1) + v3 sin In ( + + 1)-3 tan O 2 In(z +a + 1)-V3 sin () 2 lu(r i…

A:

Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

A:

Q: (4, 4) y= 2x-4 (1,-2) Jsing a horizontal element of area, the area of the shaded region is given by…

A: As required, draw a horizontal stripe as shown:

Q: Substitute the above values In the equatlon for (3/+ B) (31 + 8) = + 48 II II

A:

Q: 6. Which of the following integrals cannot be evaluated using integration by parts? A. ſe-*sin2x dx…

A:

Q: The area bounded by y=3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Consider

Q: FOLLOW

A:

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: Find the sum of the geometric series. 2.5 15 25

A:

Q: 2. Find y ify=xIn (axt1)

A: We will find the derivative.

Q: Find dy for the given values of x and Ax. 5x - 4 y = -;x = 5, Ax= - 0.03 x+2 dy = (Round to three…

A: Given: y=5x-4x+2; x=5;△x=-0.03

Q: Evaluate the definite integral. Use a graphing utility to verify your result. U-5 np

A:

Q: 25. Compute the Riemann sums for the function f (x)=x² on the interval [0,2] associated with the…

A: See this solution in below

Q: ry+2 4- (4x2 - ay) dx dy

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: y cos x+sin y+y 0. Solve the following dx sin x+x cos y+x differntail equation 1.

A:

Q: Find the area of the shaded region. y y = x2 + 1 ... y = x -1 2

A:

Q: Suppose we want to evaluate the following indefinite integral -53z? + 98z +172 dr (z – 2){(7z + 12)…

A: Solving

Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: y = 4 (2,4) A y = 2x x = 2 B y =x (0,0) Region A is bounded by the lines y= 2x, y= 4 and the y-axis.…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Solve the equation cos? x - cos x = 0 over the interval [0°, 360° ]. solving for cosx, solving for…

A: We will solve for cos x and x.

Q: 7) For each set of parametric equations, eliminate the parameter and find a corresponding…

A:

Q: dy 5. Vy -1

A:

Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

A:

Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

A:

Q: Identify the function and interval which does not meet the conditions for applying the Mean Value…

A: We have to solve above question

Q: 1 is convergent or 8. 1) Use the Comparison Test to determine whether the series n=2 divergent. Show…

A: We need to find if series is convergent or divergent,

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the deinite Integral by the…

A:

Q: The graph y = cos x, given the domain has x-intercepts at 2 37 and 2 2 O T 3R 2 and 2 2 2 37 and 2…

A:

Q: Evaluate the defınite integral. e? i +ej+t k)dt e? i + (e- - 1) j+1 k 7 e? - 1 i - (e- - 1) j+ 1 k 7…

A:

Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

A:

Q: 5. If fvr² - 25 5. If [ Vx? - 25 dx is transformed by trigonometric substitution, then it will be…

A:

Q: y = xx, x=4, and y =0 Revolve the area of the shaded region about the line x = 4. Using circular…

A:

Q: TUTOR %3D for the function

A: The given equation is: 4x2+x3y+y2=6...(1) To find the slope, that is dydx, at Q(-1,2)

Q: 3) Find an equation for the tangent line to the graph at the specified value of x. y=x²V5-x² ,x=1

A:

Q: An open box is made from an 8 inch x 8 inch piece of cardboard by cutting equal squares from each…

A: Volume of the box

Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: The equation in slope-intercept form for a line passing through the point (- 3, 2) that is parallel…

A: Topic = Coordinate geometry Correct option = A

Q: y = xx, x-4, and y =0 Revolve the area of the shaded region about the line x- 4. Using circular disk…

A:

Q: x²+1 Find J+3x+1 11.

A:

Q: Co. If FCx)=3x-4,+4+1,finelf(xland f"(x)

A: To find out f'(x) and f"(x).

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

A: We use circular ring method.

Q: Biologists stocked a lake with 280 fish and estimated the carrying capacity (the maximal population…

A: We need to estimate the carrying capacity.

Q: Find f'(2).

A:

Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

A: