Vn? +4 6n? –n -1

Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

A:

Q: Counting techniques (Using permuations or Combinations): How many outcomes are possible if you roll...

A: Given query is to find the number of possible outcomes when we roll 4 dice.

Q: 11x?–13x Evaluate lim,→∞ 25x²– 28x+3 11 25 3 25 11 3 25 11

A: Topic:- calculus

Q: x* y Evaluate lim ア→0

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Q: 1. When is the exact method applicable? 2. When is separation of variables applicable? 3. Why is t...

A: We have to answer following Questions.

Q: yay 4. +4y+11

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Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above...

A: Given: y=x-32  and y=-x-32   0,3

Q: 5)ohow all Stes in the solution of the polynomial ineguality beiow. (メーム じ o

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Q: x(2x+3) 17. f(x) =- (x° +1)

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Q: Determine the volume generated when the area bounded by the curves y = sin x and y = cosx from x = 0...

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Q: Find the second derivative of y = Vx² +x-3 O 6/x O 12/x^5 O 6/x^2 O 12/x^3

A: dxndx =n.xn-1 dcdx =0 ; where, 'c' is an constant number.

Q: 4. Suppose a > 0. You are given the integral 00 1 2 Use differentiation under the integral sign to f...

A: We apply the given value to find the given integral . Follow 2nd step.

Q: Match the integral expression on the left with appropriate dv so that the antiderivative will exist....

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Q: A company estimates that it can sell 3,000 units each month of its product if it prices each unit at...

A: We need to maximize profit.

Q: sech*2tdt

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Let's find. 

Q: Suppose that f is continuous. 7 10 Find | f(x)dæ if | f(x)dæ = 10 and | f(x)dx = 13. 10 23 -23 O - 3...

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Q: larger slope y =

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Q: Exercises: Evaluate each of the following indefinite integrals: f(cos*x- sin * xkhe let u= ſ(cos": d...

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Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

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Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides...

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Q: Find the radius of curvature of the curver= 4+3 sin 0 at 0 = 0. 3.7665 3.7566 O3.6765 3,5667

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Q: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) =

A:

Q: Solve the given initial-value problem. y" – 16y = 6, y(0) = 1, y'(0) = 0 y(x) =

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Q: x +a -)| < 2lsin(",") х — а If 0< lar – al < 8, then Isina-sinal = |2cos(",")sin(,")| х— а |2cos ("

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Q: Find the vector and the cartesian equations of the plane containing the point î+ 2j – k and parallel...

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Q: Activity 1. Evaluate the following limits by applying the Limit of Sum and Difference of Functions. ...

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Q: 5. Determine all the second order partial derivatives of the given functions. In each case, show tha...

A: Here we use  i) derivative formula for u/v which stats that d(u/v)=(v.du-u.dv)/v2  

Q: 6²f 7. For the functions given below, determine at the given value of ôx² ay? ôxôy x and value of y....

A: While taking partial derivative of f w.r.t. x, consider y as a constant. While taking partial deriva...

Q: Find dy / dx by implicit differentiation. xy + 5x + 5x2 = 2 dy / dx =

A: xy+5x+5x2=2

Q: Find the projection in the ry plane of the curve of intersection of the surfaces 2z2 = r? + y? and r...

A: Let's find. 

Q: 5. [(csc h5B- coth 5B) dß

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Q: Evaluate sin(x) · In ( cos(x)) dx using substitution.

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Q: Write a Riemann sum for the area, using the strip shown: Riemann sum = > Now write an integral that ...

A: Riemann sum for the area gives only approximate value for the actual area. The actual area is calcul...

Q: Write an expression for w in terms of x. Simplify your answe y34 W -2 2

A: Given problem:-

Q: 110,000 pr a particular commodity, the demand function is q a. Find e when p = 11. Preview b. Is dem...

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Q: 1) Assuming that the pattern of the first few terms continues, find a formula for the general term a...

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Q: Find the polynomial of degree 9 (centered at zero) that best approximates f(x) = ln(x³ + 5). Hint: F...

A: solution:-we know that the Taylor polynomial of ln(1+x) centeed at zero is: ln(1+x)=x-x22+x33-x44+.....

Q: 3x+2 2 dx find the first derivative 9x y

A: Given :y=3x+29x2

Q: Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place...

A: The triangle has measures,     b=122, c=167, ∠B=44°

Q: Se*sin(e*)cos(e*)dx Sxe*cos(e*)dx Sxecosla)sin(x²)dx

A:

Q: Find

A: We will find the integral. 

Q: 10. What is the equation of the slope of the line tangent to the function, f(x) = * 2 X_sin x´sin(x)

A: topic - equation of tangent of line

Q: Problem 9. Let f(x) = x5 – 10xª + 33x³ – 42x2 + 32x – 32 a. Show how to apply the Rational Zeroes Th...

A: Let's find. 

Q: -6х2 + 7 5x3 1. lim 8x2 — 15х3 х — 1 2. lim х>-о х3 — х2 + 2х + 4

A: The objective of the question is evaluate the limit of the given functions.

Q: 3(sin y- cos y)* dy cos y

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Q: e red graph has the form f(x) = A sin(x) + C.Use the sliders for A and C to align the red graph with...

A: Need to find function that is value of A and B

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means o...

A: Basic identity of integration and equation of line are used.

Q: INTEGRATION PROCESS Direofion: Evoaluate the Following integrals 3. Slsnxtcos x) d. x +3 2. dy

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Q: Find the surface area generated by rotating the portion of the curve x-y = 0 from x 0 to x = 2 about...

A:  We have to find surface area