Use the Power Rule to compute the de d 4 x dx |x=-1 ID

Q: Calculate dy/dx for each of the following functions. Any answer equivalent to the correct derivative…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the definite integral [² (11e² + 8x)dx

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Q: Let f(x) = ln(2e + 3). Then f-¹(x) equals None of the above 2/ln(e* - 3) In(e* - 3) In(e* - 3) In…

A: Note: Since, the student has posted two questions but the second question is incomplete. So, we are…

Q: Classify each of the following equations as to order and degree: a. 3dy + (4xy - secx) dx = 0 b. L…

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Q: Let f(-7)= 6 and f'(-7)= = -3. Then the equation of the tangent line to the graph of y = f(x) at x =…

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Q: Let ƒ(x) = 4x + 3x². Compute the difference quotient f(x + h) − f(x) h and simplify it so that it…

A: Here we have to find the value of 'c'.

Q: List five vectors in Span v₁, {0₁₂,027}. 0 89988

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Q: 4. Given the recursive formula an = n² an-1, and a₁ = 2, find the next 4 terms. Show all work. Write…

A: given  an=n2(an-1)given  a1=2

Q: Find the following using the table below. 1 2 3 g(x) g'(x) 2 32 24 X f(x) 1 f'(x) 2 4 3 1 1 4 2 1 3…

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Q: The point :P(1, ¹) lies on the curve y = x/(1 + x).

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Q: (a) For g(x, y) = √x² + 3y+9, 2 3 5' 10 (b) Find the best linear approximation of g(x, y) for (x, y)…

A: Please see the below picture for detailed solution.

Q: Find the second derivative for the functions; y = lnx + cosx  &  y = 4x5 + 3ex.

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Q: (Hint: Rationalize twice) (ii) Use the result of part (i) to evaluate lim #42 (Hint: It's a one line…

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Q: 47, 48, 49, 50, 51, and 52 A solid is obtained by rotating the shaded region about the specified…

A: given curve y =sinxthe shaded part is rotating around x axis then for finding volume of obtained…

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. dx y =…

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Q: Give the reduced row echelon form of the augmented matrix. [14 -2 150] 0-5 3 100 26 -3 200 000 J

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Q: Question 2 Compute the value of x that maximizes or minimizes the following functions and find the…

A: according to bartleby guide line we do only first part of multiple questions there for please re…

Q: f(x) = x2 + x and so f(1) = 1 + 1 = 2 We want to approximate the slope at x = 1 using the slope…

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Q: There were some children in the hall. 1/4 of the children were girls. After 1/3 of the girls had…

A: The answer is in step 2.

Q: Show all work for the problems below. Use the given formula below. rth Term of a Binomial Expansion…

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Q: For the pair of functions, write the composite function and its derivative in terms of one input…

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Q: Find a function y(x) such that 3yy=x and y(3) = 3. Y Question Help: Post to forum Submit Question

A: To solve the problem we have to use integration method , then find the value of the integration…

Q: Consider the graph of f(z) given below: 10 -10-8 -6 4 8 6 4 2 197 -20 2 4 -6 -8 101 . 1 1 1 L 1 1 1…

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Q: Consider this ordinary differential equation (ODE): dy da At the point (-0.5, 1.5), the direction…

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Q: In a local election, a group hired a public relations firm to promote its candidate in three ways:…

A: Let consider two matrices  M and N. The order of matrix M isM:->P x Q The order of matrix N…

Q: dz Given z = 7u+vy, where u = 2y², and v = y + 1, find dy

A: Given, z = 7u + vy, where u = 2y2 and v = y+1, then we have to find dzdy.

Q: Find the instantaneous rate of change of the function f(x)=x^(3)+8x when x=-3

A: The given function is: fx=x3+8x  Find the instantaneous rate of change of the function at x=-3

Q: The three vectors in the figure have magnitudes a = 3.10 m, b= 2.70 m, and c= 10.2 m and angle =…

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Given the integral √64-x2dx Determine what substitution to use in order to solve this problem O Let…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: The series is given as ∑n=4∞37n+4.

Q: Find y'' for y = 4+ or y= (4 + ³) ³. X y"=0 3 5

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Q: Find the limit. (If an answer does not exist, enter DNE.) VE+1² 2t - 1²

A: Given problem:- limt→∞t+t22t-t2

Q: 1 (x 1 + 4) - 0 (X-3) 2 호 + 1 (x

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Q: 4. Determine the value of a so that the following function is continuous at x = 2. -2 h(x) = x²-x-…

A: A function is said to be continuous at x=a if limx→a-f(x)=limx→a+f(x)=f(a)…

Q: a) Find y'= d dy dx b) Show that y" = 2(y-1) (x-1)² lise

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Q: Show all work for the problems below. Use the given formula below. rth Term of a Binomial Expansion…

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Q: 1. Consider the graph of f(x) given below: -10-8-6 -4 (a) Find the following: i. lim f(x) ONE ii.…

A: Topic = Function

Q: Find the critical points of the function f(x, y) = x + y - 196xy Answer: Starting with the point…

A: we have to find out the critical points and local minimum, local maximum and saddle points.

Q: The equation r(t) = (2 sin t) i + (4 cos t)j + (2t) k is the position of a particle in space at time…

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Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 6r² + y² = 4 . maximum value =…

A: here we have to find the maximum and minimum value.

Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate f(x) dx, where…

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Q: Q.#3 For 2x²+xy-y²=2, please find each of the derivatives requested below. Final Answer b) a) dx dy…

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Q: or the function f(x) given in the table, find the average rate of change over each specified…

A: Given query is to find average rate of change.

Q: 14. y = 4x - x², y = x

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Q: Consider the function f(x) = -x³-5 on the interval [-6, 2]. Find the absolute extrema for the…

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Q: Devise the exponential growth function that fits the given data, then answer the accompanying…

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Q: 4x (11+x) Find the first few coefficients. Suppose that Co= C1 = C2 C3 C4 = 0 Σcn n=0 n OF Find the…

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Q: QUESTION 17 Solve the inequality. Write the solution set using interval notation and graph it.…

A: Given query is to find the solution of the inequality.

Q: Find all where horizontcel 3 2x²³² + 2 зай the values of X the tansont line is +252x+10

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Q: 4. What general shape are the level cuves of z = √x² + y² - 4?

A: The objective is to tell the general shape .