1. Integrate using partial fraction decomposition. x2-2x a) S dx (x+3)(x-2)² b) S 2x+1 dx x3+x

Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz + x...

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Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

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Q: 3х - 4 dx Evaluate the definite integral. Give exact answer

A: This question can be solved by first integrating the given function and then putting the limits to g...

Q: Given Cost and Revenue functions C(q) ) = q° - 11q +57q + 5000 and R(q) = - 3q + 2600q, what costs s...

A: Given problem:- Given Cost and Revenue functions C(q) =q³-11q² +57q+ 5000 and R(q)= -3q² +2600q, wha...

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x...

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Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a p...

A: Here is the solution

Q: The general antiderivative of ( 3x2 - 4) +C. What is the value of the sum a +b+d+m +n+p? can be writ...

A: Given query is to find the value of the integral.

Q: t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

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Q: find dy/dx  y^(2) sec(x)+e^(xy) =1

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Q: A company produces a special new type of TV. The company has fixed costs of $453,000, and it costs $...

A: We have to find the price that can maximize the profit.

Q: (9) Find the local maxima, local minima, and saddle points of z = f (r, y) = 1? + y + 2ry Identify r...

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Q: 1 x² + 10x + 41

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Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

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Q: Using the partial fractions technique, the function x) can be written as a sum of partial fractions ...

A: To evaluate the integral.

Q: „J: Evaluate the integral (4x + 1) In x dx . Evaluate the integral Sou 6 tan x sec* x dx 1: Evaluate...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: Given cost and price (demand) functions C(q) = 100g + 42,000 and p(g) = - 2.1g + 870, what is the ma...

A: Given

Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

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Q: 1500+13x-0.01x240.000s 3 Compare C'(400) with the cost of manufacturing the 401st yard of fabric. (R...

A: Given:    C(x) = 1500+13x-0.01x2+0.0005x3

Q: tan z, find v(/6), (z – ), V(-z), and express (2z) as a 9. If v(z) function of (z).

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: (a) Use any method to estimate the slope of the tangent to the graph of the given function at the po...

A: Follow the procedure given below.

Q: Consider the line perpendicular to the surface z=x^2+y^2 at the point where x=3 and y=2. Find a vect...

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Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x + 2...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. 24 square unit...

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Q: The resulting integral of form --F(0) +C. de has the What should be the value of e to make F(@)=0?

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Q: In (a le) secx ((2- sec²x) " sec (3А - x) to be integrable using the formula What should be the valu...

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Q: 1. April started her homework at 4:29 p.m. and finished at.5:25 p.m. Andy started his homework at 5:...

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload...

Q: Evaluation of functions. For each of the following, find the required function. Vx2+9 1. If f(x) det...

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Q: A particle is moving with the given data. Find the position of the particle. a(t) = 2t + 3, s(0) = 2...

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Q: Use linear approximation, i.e. the tangent line, to approximate v25.4 as follows: Let f(x) = Vx. Fin...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A: Explanation of the answer is as follows

Q: Write an equation for the transformed logarithm shown below, that passes through (1,0) and (-3,3) 5t...

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Q: - -r(0)+c The resulting integral of sin-cos-sino de has the form +C. What should be the value of a t...

A: We will find the value of theta. 

Q: d?y =6- 9x and which passes through the points (0, – 1) and (2, 3) - Find the equation of the curve ...

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Q: Question 9 e* What is the integrable form of dx? (A @ /(1-u²) 12 du [(u?-1) -12 du 1/2 du (D 2- 1) 1...

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Q: b "+xP+C- What is the value of the sum a +b+d+m+n+p a d The general antiderivative of (3x2– 4)2x2 ca...

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Q: sinh (5) = %3D (A) 5+ v26 (B) In(5 + v24) (C) In(5 + v26) (D) 은 (E) 5

A: We can find the correct option from the answer as below.

Q: The resulting integral of sin-cos-sine de has the form --F(0)+C. What should be the value of e to ma...

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Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: 3. Consider the following surface and the point Pon the surface. Let C'be the path of steepest desce...

A: f(x, y)=y3 - x2∇f =fx, fy =-2x, 3y2Descent = -∇f =2x, -3y2This can be put as;that the slope of the d...

Q: Question The position of a car traveling along a highway is given by the function s(t) = - + 312+ 20...

A: Given query is to find the interval when car is slowing down.

Q: 2 Which of the following integrals is equal to (3x – 5) dx if u=3x – 7?

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Q: -K-t K(1+8)

A: Please see the answer below.

Q: COSX-e +e The integral dr may be written as me asinx + px + ge" + C, where m, n, p, q, r, and Can si...

A: We will solve the integral. 

Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9.3) is on the cu...

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Q: 2sin x -1 y = cosx +2

A: Basic identities of trigonometry and differentiation are used

Q: Consider the piecewise function 3.x if x < -2 f(x) = a.x² + 2x + b if – 2 < x Where a and b are cert...

A: Given query is to find the value of a and be.

Q: (a) e2tsin (wt +t/6)

A: