12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

Q: 1. Which of the following statements is true? (A) The series (-1)"+1, diverges by the alternating…

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Q: A function is defined by if n is even S1, f(x) = anx", where a, if n is odd 2, n=0 a) Determine the…

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A: dydx=5x-2dy=5x-2dxIntegrate on both sides

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Q: Find the volume of the solid which is under the surface z = 16 – x² – y and above the plane z = 8.

A: Given

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Q: There are two different styles of shirts UB is planning on selling at the bookstore. UB will pay $12…

A: Let  Number of cheaper shirt = x  Number of other shirt = y  cheaper shirt yields a profit of $8 and…

Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: (z*+2z)* Find dy/dx, given the following: y = /2r-4 (+2)* 3(3z*+2)(=*+2=)* V (2z-4) (+22)* (…

A: Here, y=x3+2x32x-4...(1)

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Given equations which bound the region are: x = 8y ; y = 4 ; y = 5 and x =0 The volume of revolution…

Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: Consider the function f(x)=4x^2−10x^7 Let F(x) be the antiderivative of f(x) with F(1)=0 Then F(x)=

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Q: Find the area represented by the definite int 8. x-2 dx

A: ∫08x-2dx=∫01-(x-2)dx+∫18x-2dx

Q: Does the following series converge or diverge? 9+8 cos n Σ n' n= 1 The series converges. The series…

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Q: Does the following series converge or diverge? 1 Σ 2+7n In n n= 1 The series diverges. The series…

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Q: 14.w.3 Find Ihe arcan region for he fllowwiy Regian honded.by.y= X- y=D and S= 2

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find f,, f, f,(2,1), and f,(4, - 4) for the following equation. f(x,y) = /x² + y? (Type an exact…

A: Given problem:-

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

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Q: 5. A piece of wire is with a length of 4 m is cut into two pieces, and the resulting two pieces are…

A: Let the length of the wire cut=xAll sides of square are same side length=yPerimeter= 4 y…

Q: d dx

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Q: dx Evaluate: + 4 V9x2 + 4 + 2 - In 4 f (x) = +C 3.x 9x² + 4 + 2 + C B f (x) = -2 ln V 3x 1 V9x2 + 4…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Cosx sinx 1+sinx

A: The given integration is ∫cosx sin2x1+sinx dx We solve the integral by proper substitution. Let,…

Q: 2. 52 Calculate the determinant for 2 3

A: As we know that, If the given matrix is A=abcdefghi then the determinant of the matrix is:…

Q: 1)" | Given: In(1 + x) if x < 1. n +1 n=0 1. Find the MMaclaurin series for f(a) = x In (1+ 5 )

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Q: Let S be the surface given by the equation x^3+y^3-xz=5. What is the equation of the tangent plane…

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Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: Eualuate in tegral Só Vincy dx

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

Q: Find an equation of the plane that passes through the point P(2, 5, 1) and has the vector n = (1,4,…

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Q: If this test had 13 questions, how many ways could you get 7 questions correct? Answer:

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Q: answer

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Q: Does the following series converge or diverge? 4. 4h n= 1 O The series converges. O The series…

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Q: Determine if the following statements are true or false. (a) A square matrix has an inverse if the…

A: Here,   We have given some statements about matrix now we have to determine whether they are true or…

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: 8. Differentiate each function. Express your answer in a simplified factored form a. f(x) = (x +…

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Q: Work Problem 2n11 5h Consider the geometric series a) Find the first term a and the ratio r of the…

A: Given query is to find fist term,common ratio, and sum of the sequence.

Q: Calculate -1– 2i. Give your answer in a + bi form. In polar form, use the angle 0 <0 < 2n. a = b =

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Q: Find the simplified form of the derivative of y = 1+csc 3x %3D cot 3x O y = 3 csc 3x csc(3r)-1 O (E)…

A: We have to find the simplified form of the derivative of  y = 1+csc 3xcot 3x.

Q: At a dinner party hosted by The University: • 13 guests had steak and chicken • 29 guests had steak…

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Q: 4. Given function f (x,y)=e-(x° +y"), and classify them into maxima, minima and saddles. then find…

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Q: 3. -1 1 2 3 4 5 6 7 +1

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…

Q: 64. ● u(x) = (x² + 1)4*²-1 1 66. ●g(x) ex + e¬x

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the graph of the following ellipse. Identify the domain, range, center, vertices, endpoints of…

A: Given:      x225+y216=1

Q: Let D and H be the following matrices. 9. D = 1 -3 -1 H = -3 Find the indicated quantity. D - H

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Q: Q2: What is the value of second derivative of f(x)=3 sin((1-x)/t) *

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Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)