GivenF(x) = h(f(g(x))), g(1) = 2, g′(1) = 3, f(2) = 4, h'(4) = 1 and f'(2) = 6, findF′(1)

Q: 2 4-y²² #13 Given S² S√4-y 0 0 (y) ddy (a) Write down inequalities. in xy representing the region R…

A: 4πExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Find the value of the expression lim t→ꝏ -e-3t +5

A: The objective of the question is to find the limit of the expression -e^-3t +5 as t approaches…

Q: what technique should be used to evaluate these integrals a. Sx (cosx 2) dx b. Sx cos(x) dx √√√x…

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Q: Problem #2: Find the Laplace transform F(s) of (41²-7)².

A: f(t) = (4t2-7)2We have to gind laplace transform of f(t)i.e....F(s)

Q: Let f(x)=sin(x), find each of the following: find the second derivative, the thrid derivitie and the…

A: The objective of this question is to find the second, third, and fourth derivatives of the function…

Q: 1) Write an equation of a function that meets the given conditions (a) x - intercept: (1,0), (3,0);…

A: Given conditionsx-intercept  ,vertical asymptotes , horizontal asymptote x-intercept  ,vertical…

Q: With a present value of $130,000, what is the size of the withdrawals that can be made at the end of…

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

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Q: The points A[−1, 1, 1], B[2, 0,3], and C[3, 3, -4]. Show that this triangle is a right-angle…

A: Please see the explanation Explanation:Step 1:

Q: X 3x2 +5 dx x4

A: To find the indefinite integral and to check the result by differentiation.

Q: Suppose that f(x) = 16x6 In(x), x>0. (If an answer does not exist, enter DNE.) (a) Find all…

A: Note- As per company guidelines for a question posted we are allowed to solve first three sub parts…

Q: Use Stokes' theorem to evaluate te (▼ × F) - dS where F(x, y, z) = −5yzi + 5xzj + 7(x² + y²)zk and S…

A: Given :-and S is the part of the paraboloid  that lies inside the cylinder  oriented upward.Evaluate…

Q: Find the length of the curve over the given interval. y = 10+10sinė, 0 ≤0≤2π Select one: ○ a. 20 O…

A: follow the solution part.Explanation:

Q: A company manufactures a units of one item and y units of another. The total cost in dollars, C, of…

A: We solve the given problem using the second derivative test.The Second derivative test :Let f(x) be…

Q: Problem #8: Let y(t) be the solution to the following initial value problem. y"-14y+45y=18e6t, y(0)…

A: The solution is attached as a picture below. Explanation:

Q: Given the graph of f(x) at the left, determine the following: a. f(6)= b. lim f(x) = x+2 C. lim f(x)…

A: ​a. f(6)=4b. x→2lim​f(x)= DNE c. x→6lim​f(x)=2d. x→2−lim​f(x)=1​Explanation:Step 1:​We have the…

Q: Find two unit vectors orthogonal to both u = (4, −1, −3) and v = (0, 4, 1). Give exact values (no…

A:

Q: = u + v Add the vectors u = (−3, −2) and v = (1,0) graphically. Your graph should include u, v and…

A: W= <-2,-2>Explanation:If you have any problem let me know here in comment box for this…

Q: x+2 3 F) 2x-2

A: given equation

Q: dy/dx=3x2 given (0,-2)

A: The objective of this question is to find the solution of the given differential equation dy/dx =…

Q: Let ā = (1, 5) and 6 = (3,0). Find —ã – b. - - V Λ

A: Answer: <-4,-5>Explanation:For any query with the solution please ask in the comment box.

Q: Suppose that the position of a particle is given by s = f(t) = 7t³ + 4t+9. (a) Find the velocity at…

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Q: Need help understanding please and thank you

A: Summary: (7.Answer): arctan(x/2)+C (8. Answer): 2/3 * arcsin(3y) + C  or -2/9 (sqrt. 1 - 9y2) +…

Q: Complete the parametric equations of the line through the point (4,3,1) and parallel to the vector…

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Q: Find the volume of the solid whose base is the equation x² + y² = 25 (a circle with radius = 5),…

A: The objective of this problem is to find the volume of a solid with a circular base and isosceles…

Q: 5 A polar curve is given by r = (3-cos(e)) What angle corresponds to the point on the curve with an…

A: Hence the final answer is : θ≈2.42,3.86 Explanation:To find the angle θ corresponding to the point…

Q: 5 K 7 10

A:

Q: Find the area of the surface formed by revolving about the polar axis the following curve over the…

A: r= 3cos(θ), 0<=θ<=π/2We have to find surface area formed by revolving about the polar axis the…

Q: Evaluate fim x+

A: We will find the limit.

Q: Let ā = (−4, −5, −3) and 6 = (-5, −4, 4) Find a × 6. V >

A:

Q: Find к for the space curve K(t)=☐ (Type an exact answer, using radicals as needed.)

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Q: Find all rational roots of f(x) = 3x3 − x2 + 15x− 5.

A: The objective of this question is to find all the rational roots of the given polynomial function…

Q: Drug Sensitivity One hour after a dose of a milligrams of a drug Predamestane is administered to a…

A:

Q: Determine the absolute error (as a decimal) and the relative error (as a percentage) in…

A: The given integral is The Trapezoidal rule

Q: Complete the parametric equations of the line through the points (7,-7,-1) and (4,-4,8) x(t) = 7 –…

A: Solution is following in explanation step.

Q: 4) Let the curve C be given by the graph of the function y = f(x) with f(x) = coshx, a) Draw a…

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Q: Solve by trigonometric substitution 9 S. dx. x²√9-x² Draw the triangle with values on each side

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Q: c) 18x-19 2x²-5x-3 dx

A: To evaluate the following integral.

Q: For the linear function y=f(x)=2x-2 a. Find df/dx at x =-9 b. find a formula for x = f to the…

A: The objective of the question is to find the derivative of the function at a specific point, find…

Q: Let P(x, y) be "x has taken class y," and Q(x, y) be "x has passed class y" and M(y) be "y is a math…

A:

Q: Two towns A and B are 5 km and 7 km, respectively, from a railroad line. The points C and D nearest…

A: Answer Explanation:

Q: A graphing calculator is recommended. in the viewing rectangles [0, 10] by [0, 1] and [0, 100] by…

A:

Q: 2. Approximate the value of f(x) = √√3+ x2 at x = .9 using the linearization process.

A: The linearization of the given function is:L(x)=21​x+23​ The approximate value of the function at x…

Q: Its the same options for all of them

A: The objective of the question is to identify whether the given statements are correct or due to Type…

Q: Find the length of the indicated portion of the curve. r(t)=61³i-21³j+31³k 2st≤3 The length of the…

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Q: We begin by finding the EL equation for the auxiliary functional S[y] = = - S₁ 12 dx (xy2+ Ay - λy)…

A: Please see the attached image for an explanation. Thanks.Explanation:

Q: Use logarithmic differentiation to find dy/dx.

A: Answer is given below Explanation:

Q: [ (sec y) (tan y (sec y)(tan y - sec y) dy

A: (secsecse  se secCWhere , C is constant of integration.

Q: The derivative of the [Select] of two functions is the first times the derivative of the second,…

A: Consider that have two functions and . The product rule states that:where:- and are the two…

Q: Q2/Solve only three of the following differential equation: = xy 1- y' = 2

A: