Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = x²+36

Q: Vector-valued functions (VVF) VVF Point P t value (for point 1 r(t) = ½ t²i + √4 − t j + √t + 1k (0,…

A: equation of tangent is as follows-2x​=−22​1​y−2​=23​1​z−1​Explanation:Step 1:Step 2:Step 3: Step 4:

Q: 4 3 2 -5-4-3-2-1 1 2 3 4 5 3 The function graphed above is: Increasing on the interval(s) Decreasing…

A:

Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: 3 In Exercises 5 and 6, let f(x) = x³ + 2x + 1, and assume that f-1 exists and has domain (-∞, ∞0).…

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Consider the function x²+2x-1 if x ≤ -1 f(x) = 3/8x 2x+4 3 if − 1 1 (a) To determine whether f is…

A:

Q: Use Gauss-Jordan reduction to solve the system consisting of the following equations. x+2y+32= 3,…

A: The solution to the system of equations is x = 5, y = -4 and z = 2.Explanation:We solve the system…

Q: Evaluate the integral: 11√√x²-100 dx x4 (A) Which trig substitution is correct for this integral? Ox…

A:

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: Estimate ƒx and ƒy at point B. 70 50 30 4 2- -30 C 10 B 0- -10- 0. -30 -2 -10 10 A. -50 -70 -20 -4 0…

A: fx​(B)=−6.9fy​(B)=13.9Explanation:Step 1: From the graph at point B, For x=−2.75, f(x,y)=20 The…

Q: Find the critical points and the interval on which the given function is increasing or decreasing,…

A: X=-3, X= -4, X=3 Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Hello I am working on applications of inetgration, specifcally, surface area problems. I am…

A: Given integral-To find:Evaluate the integral

Q: 4) A company wishes to manufacture a box with volume 36 ft, has an open top, and is twice as long as…

A: Question No. (4): A company wishes to manufacture  a box with volume 36 ft3, has an open top, and is…

Q: Macmillan Learning Determine the critical numbers, if any, of the function f on the interval [1,6].…

A:

Q: 1. Explain how you can solve the equation graphically, then provide the solution. Algebraic…

A:

Q: Find the horizontal and vertical asymptotes of the curve. You may want to use a graphing calculator…

A: x=−1,0,1y=−1Explanation:Given the equation,y=x2−x42+x4​ Solving for horizontal and vertical…

Q: Find the equation of the tangent line at the indicated point. R(2)=log, (222-79), z=8

A: R(z)=log7⁡(2z2−79),z=8R′(z)=ddzlog7⁡(2z2−79)Using the Chain…

Q: Westside Energy charges its electric customers a base rate of $8.00 per month, plus 11 per…

A: a). E(x)=8+0.11xif0≤x≤300 300">E(x)=26+0.05xifx>300b). Graph 2 is correct Explanation:

Q: The Taylor series

A:

Q: 11. Use the shift property to find the Laplace transform of eat sin kt. uitobing property to find…

A:

Q: Verify that the following functions are inverses of each other. Clearly show the proofs! f(x)=2e1x+4…

A: f(x) and g(x) are inverse of each other Explanation:

Q: Problem #3: Consider the following function. f(x, y) = x3+18xy-912 (a) Find the critical points of…

A: (a):  (c) (0,0), (6,-6)(b): -324,324(c): (E) Saddle point , Relative minimum Explanation:

Q: Check all of correct statements about differentiable functions. The derivative of the sum of two…

A: We have to identify the correct statement.

Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

A: •Proper integral: An integral which has neither limit infinite and from which the integrand does not…

Q: Simplify cot (17) - t) to a single trig function using the 2 sum or difference of angles identity.

A: given

Q: 2. (Series) Determine if the following series converge or diverge. If it converges, find the sum. i.…

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

Q: Calculus Math Question. Please help.   Thank you

A: Derivative of y with respect to x is given below Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Write a complete solution to the problem: A truck uses gas as g(v)=av + b/v, where v represents the…

A: The objective of the question is to find the speed at which the fuel consumption of the truck is…

Q: Find к for the space curve r(t)=(12 sin t) + (12 cost) j +9tk. K(t)=[ (Type an exact answer, using…

A:

Q: Need help understanding what to do please help ??

A: W = 5675812.3571 lb ftsExplanation:

Q: Evaluate the following integrals using partial fraction decomposition, when applicable

A: If you've any doubt comment below-Explanation:

Q: K You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have…

A:

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: f(x) is f(x) is Consider the function f(x) = x²-4x + 3 on the interval [0,4]. Verify that this…

A:

Q: For the function f(x) = x^4 -6x^3+1, find the points of inflection.

A:

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec2(4t) tan²(4t)…

A:

Q: Find the number of stationary points for the graph of y=1/2x^4−2x^3−4x^2+11.

A: The objective of this question is to find the number of stationary points for the given function y =…

Q: 2. Find the volume of the solid whose base is the region bounded by the circle x² + y² = 9 and whose…

A: Volume = 62.35Explanation:Explanation:

Q: A drone takes 50.3 seconds to travel 400 metres. Calculate the average speed of the drone. Give your…

A: A drone takes 50.3 seconds to travel 400 meters. To calculate the average speed of the drone.

Q: Sin U X-4 Compute using *3-8x+7 Partial fraction decomposition. what is another method that can be…

A: The value of the integral is21​ln∣x2−8x+7∣+C,where C is the constant of integration.Explanation:

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

A:

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

A:

Q: Using: Higher order linear equation with constant coefficent / Homogenous Please Solve this equation…

A: The given equation is a third order linear differential equation with constant coefficients. The…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: can you solve this question for me please

A: The objective of this question is to determine whether each of the given integrals is proper,…

Q: Evaluate the following integrals using partial fraction decomposition, when applicable.

A: 16.51​ln∣x−4∣−51​ln∣x+1∣+Cor,51​ln∣∣∣​x+1x−4​∣∣∣​+C17.2ln∣x+2∣−23​ln∣2x+1∣+CExplanation:Step 1:Step…

Q: Let f(x, y, z) = x4y²+ z² and x = = st³, y = s²t³, and z = st. (a) Calculate the primary derivatives…

A:

Q: I need help with the graphing part

A: a) (f∘g)(x) is the graph obtained after moving/shifting f(x) Horizontally 4 units to the left. b)…

Q: 8 X does (1+x2)2 dx converge or diverge? if it converges, find the value it Converges to show all…

A:

Q: let f(x) = In (1+x). find second degree taylors polynomial centered at x=1 for f(x): f" T₂ (x) = f…

A:

Q: Given cot(y) = x, what is dy/dx?

A: dxdy​=−1+x21​Explanation: