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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: Find the nth Maclaurin polynomial for the function. f(x) = e¯X, n = 5 Ps(x) = %3D

A: Given the functionf(x)=e−x

Q: 1. Sxe3*dx 2. xsecxtanxdx 3. Sxarctanxdx 4. SIn(x+1) dx

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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: х6 + x5 — х3+ 2х — 5 9. lim 2x4 + 4x3 +2х2 + 1 9- 5x6 — 2x3 + 5х + 5 10. lim х6 — 4x3 + 10 X -0 -

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Q: y +2xy =x+y

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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: Find the area of the region that lies under the graph off over the given interval. Please solve usin...

A: Given : f(x) = 4 - (3 - 2x)^2 at 1 <= x <= 2

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

A: Topic:- calculus

Q: 11. In y = e" sin x

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Q: Compute the following limit. 1-e3* as x approaches 0 3x O-7/3 O-5/3 O-2/3 O 2/3

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Q: A Broadway theater has 800 ​seats, divided into orchestra, main, and balcony seating. Orchestra seat...

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Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a i...

Q: 4. Analyze the continuity of the following function. Graph the function. x? – 2x +1 , 0<x< 4 x 24 f(...

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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: Integral of sinh(e^lnarccot3x)dx/(1+9x^2)

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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: 13. How many liters of a 40% solution and how many liters of a 90% solution of Nitric Acid should be...

A: Given query is to find the quantity of each solution.

Q: Determine the coefficient of the 5th term of the Maclaurin series expansion of f (x) = 2 e 4! 51

A: f(x) = x2 e-x f0(x) = x2 e-x f0(0) = 0 f1(x) = -x2 e-x+ 2x e-x f1(0) = 0 f2(x) =(x2 -4x+2) e-x f2(0)...

Q: Solve the given differential equation by undetermined coefficients. y" – y = x²ex + 7 3 У (x) %3D ce...

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Q: f(x) = 4x - 63x2 + 162x 1 Step 1 of 2: Find the critical values of the function. Separate multiple a...

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Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

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Q: Use Euler's method with step size 0.2 to compute the approximate y-values y(0.2) and y(0.4), of the ...

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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: The integration expression sin(3ln(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable c...

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Q: y = (13x – 2x+1 - 1]) find the second derivative x+5

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Q: Normalize the vector v = (1, 0, -1, 2, 6)

A: Given query is to normalise the vector.

Q: )In this problem, you will find the volume of the solid generated by revolving the region bounded by...

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Q: An iron rod at a temperature of is placed in a room at a constant temperature of . If after minutes ...

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Q: Determine whether the series converges. 1 k=I Ve 1) To determine whether a given series converges, i...

A: To determine whether the series converges.

Q: Find the nth Maclaurin polynomial for the function. 2х — 5 f(x) n = 4 x + 1 P4(x) =

A: Formula: ntth Maclaurian polynomial: Pn(x) = f(0)+ [ f'(0)/1! ]x + [f "(0)/2!]x2+[f"'(0)/3!]x3+........

Q: Q1/ Find the volume of the solid generated by revolving the region bounded by y = vcos x, y = 0 & 0s...

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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 

Q: f(x) = 4x + 9x- 3 has an inverse g(x). %3D Use g '(x) = 1 to find g '(-3). %3D f'(g(x)) g'(-3)=

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Q: Normalize the vector j = (1, -2, 5, 0, -1)

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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: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

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Q: Please do 15 and 17

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Q: A toy rocket is shot into the air. Its height, in meters, after t seconds is given by h(t) = -4.9t^2...

A: We need to solve toy rocket problem.

Q: on?(1+ g²) dy 2. § Ib'1+ s*) 1 + g².

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) = n = = 4, c = 5 x2' Pa(x) = ...

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Q: Direction: Evaluate the following integrals: a. S 4x3 dx b. S(3x +5) dx

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Q: ミ 42~x2 =ト 3ト %3D

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Q: given the geometric series below, analyze whether it is convergent or divergent and then define the ...

A: Given geometric series 1/5 + 1/5^2 + 1/5^3 + ......... 

Q: f(x) = In(x), n = 4, c = 3 Pa(x) = %3D

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Q: In(5+ x) + C In(5 + x²) + C Question 4 Match the integral expression on the left with its appropriat...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

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Q: Find the derivative of the function. f(x) = 4/5 4 + X f'(x) ||

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Q: 9x2 lim x+00 x+2

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Q: x + 6|, if x - 1 x² – 3x

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