If f(x)=3(x²) =e , then find f'(x)=

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Step 1: Given data  ∫e39−37tdt Note :  ∫exdx=ex+C Step 2: Calculation  ∫e39−37tdt−−−−−−−−−−−−−−−(1)…

Q: Practice

A: The objective of this question is to express the given vectors in the form ai + bj. Here, 'a' and…

Q: A 67 kg skydiver jumps out of an airplane. What is her terminal velocity in miles per hour (mph),…

A:

Q: 40. Find the area enclosed by the ellipse x2 4 y2 + = 9 1.

A:

Q: a. 7 = (3, 1) + (-3, 5), te R b. x = -6 + 2s and y = 3 - 2s, se R Two lines L₁ = (5, 3) + p(-4, 7),…

A: The given lines are:L1​:  r=⟨5,3⟩+p⟨−4,7⟩,    p∈RL2​:  r=⟨5,3⟩+q⟨2,1⟩,    q∈R Both lines intersect…

Q: 1ASC Nom parfait :..... ASC Exercice 5 Ahmed a 26 ans et sa sœur Sana a 8 ans. Après combien…

A: Pour résoudre ce problème, nous pouvons définir x comme le nombre d'années après lesquelles l'âge…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: 1. Area is found by the formula A=∫ba​ydx and mass per unit length is density multiplied by the area…

Q: 31. The surface area of an inflating weather balloon is described by A(x) = 4x²-1 where x is the…

A:

Q: Leah needs to find the exact coordinates of the centroid. She is struggling. Please help her by…

A: 1: Sketching the Region:We'll sketch the region bounded by y=x,y​=0 and  x=4 in the xy-plane.The…

Q: Fast please.

A:

Q: Part 2: Find the error(s) and solve the problem correctly Find the volume of a sphere with a radius…

A: Step 1:​Let the region is bounded by the circle x2+y2=32Region is being rotated about x-axis to get…

Q: 6

A: o . fts an Strictly increasing Function © XL is Chreatest. 3a) is greatest when, X = () ③ x, is…

Q: 1. (a) Differentiate and substitute to show that y = x - x-1 is a solution to the differential…

A: Step 1: Step 2: Step 3:

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: a.) The Linear Approximation of a given polynomial function is given by:  L(x) = f(a) + f'(a)(x-a)…

Q: Let u == (7,5,-5) and = (−1, −2, 2). Compute the following: u v . . = 2 7(ū. v) = (7) · v = ū. (77)…

A:

Q: Determine the open t-intervals on which the curve is concave downward or concave upward. (Enter your…

A:

Q: Q1 and 3 please

A: Step 1:Step 2:Step 3:

Q: I need help on question 5.

A: The objective of this question is to analyze the given parametric equations, find the derivative…

Q: Find a bound for the error in approximating the quantity with a third-degree Taylor polynomial for…

A: The objective of this question is to find the error bound when approximating the function cos(x)…

Q: Homework

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A:

Q: Let f'(x)=ex+x and let H(X) be the equation of the tangent line to f(x) at x = a. If H(x) is used to…

A: To find the equation of the tangent line to the function f(x) at x = a, we need to use the…

Q: 1. A Challenge on Implicit Differentiation dy Assuming that y is function of x, calculate for the…

A:

Q: You approximate f (t) = e' by a Taylor polynomial of degree 2 about t = 0 on the interval [0, 0.5].…

A: a. Let's analyze the behavior of (f(t)=et) on the interval (0,0.5) and compare with the Taylor…

Q: Find the equation of the plane containing the points P = (-3, 0, 2), Q = (-1, -1, 2), R = (-5, 3,…

A: The objective of this question is to find the equation of the plane that contains the three given…

Q: c. - f'(1) = (3e³ – 2p¹³) In (5p¯² — *√p) -

A: To differentiate the given expression f′(1)=3e3−2p−1/3ln(5p−2−p−1/4), we'll need to apply the chain…

Q: Use the integral test to determine if the series 6x-6 dx 3x²-6x+6 6n - 6 converges or diverges.…

A:

Q: 2. Finish solving each IVP by finding y(t), the inverse transform of Y(s). Do not use convolution…

A: Please see the attached images for the solution.If there are queries, please do not hesitate to ask.…

Q: Show that the vectors X1 and form a linearly independent set. = (2 e2t 2e2t X2 = :( 3e4t 4e4t

A: We show that the vectors  X1 and X2 form a linearly independent by demonstrating that the only…

Q: Find the absolute minimum value of f(x) = 7 x² - 10 x + 10 on the interval [0, ∞). Note: You need to…

A: The given function is: f(x)=7x2−10x+10 The restricted domain of the function is: [0,∞) Let us recall…

Q: Question 2 A brokerage firm keeps track of the total money spent on Tesla stocks by their clients…

A: The solution of the question is given below:

Q: For the function f(x) = 6x2 + 2x, evaluate and simplify. f(x + h) − f(x) h

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: dy ☐ ☐ 5. For the differential equation -4y with the initial condition y(0) = 3 and dx Δα = 0.2, use…

A: Step 1: y0 =3 at z0 = 0z1 = z0 + Δz. f(0,y0)= 0 + 0.2 = 0.2 y1= y0 + Δz. f(0,y0)= 3 + 0.2.(-4.3) =…

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

A: From the given graph, It is clear that,  graph is not continuous at x = 3.Also function is not…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1:The area of the disk (dA) is the product of the circumference and the thickness of the disc.…

Q: 1 19 a. Which of the following points lies on the line x = 21, y = 3+1, z=1+0 A(2,4,2) B(-2, 2, 1)…

A:

Q: Prove that the following systems intersect at a point and then determine the solution:…

A: Step 1:  Step 2: Step 3: Step 4:

Q: (3 and 4) Explain how to solve these question in detailed steps.

A:

Q: Write the appropriate rotation formulas so that, in a rotated system the equation has no x'y'-term x…

A: The objective of the question is to find the rotation formulas for the given equation x^2 + 4xy -…

Q: Is there an easier way of solving this problem? I'm currently just imputing 0-8 for J it isn't…

A: To help you with your answer, here are some calculations of your problems using Photomath: (You can…

Q: Let f (x) = csc x cot x. Compute the area A of the region between the graph of f and the x axis on…

A: The given function is:f(x)=csc(x)cot(x) Now the region is: Now the area of the required region is…

Q: find the following for the function given: - Domain and range - Intercepts - Critical Points and…

A: Step 1: Step 2:Step 3:Step 4:Step 5: Intervals of Increase and Decrease:              f(x) is…

Q: Homework

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A:

Q: Find the area of x²/³ + y²/³ = 1 using a line integral.

A:

Q: I just need you to help with question i) using the graph

A:

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of the first part of the question is to prove that the sum of the kth powers of the…

Q: When estimating distances from a table of velocity data, it is not necessary that the time intervals…

A: Lower estimate of distance traveled…

Q: I just need you to answer question g.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.