³+4 d.x (x2–1)(x²+3x+2) -3 O a. In |a + 1| + 3 5 2(x+1) + 12

Q: Question The position of a car traveling along a highway is given by the function s(t) = -r+ + 121-5...

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Q: Which of the following is the limit 00 of the sequence {a,},where an = 3? 3 8

A: The objective of the question is choose the correct option.

Q: Given cost and price (demand) functions C(q) = 110q + 45,000 and p(q) = - 2q + 870, what is the marg...

A: given cost function c(q)=110q+45000Price function p(q)=-2q+870

Q: Determine which of the following expressions are equivalent. Show your method. Hint: there are two e...

A: Here we will find which expressions are equivalent,

Q: 1. ×3- 4 x 3. § × -- 4 $ x}=----- 5X 5. } × 3 - 7. H × ? 6. x3 9. x } 10. 글에} 11. § x } 12. 3 × 3 13...

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Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: 4) Verify the identity using the definitions of hyperbolic functions. e2x + 1 e2x – 1 coth x

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Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: 3. a) Determine whether or not the point R(-3, 4, -2) lies on the line i = [0,20,4]+t[1,4,–2].

A: Given

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Q: If cotx 12 find the other trigonometric functions

A: Given query is to find the values of trigonometric functions.

Q: 8,2 ſsecxtan xdx

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Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: Determine

A: We will find the critical points by equating the derivative to zero. 

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Q: Use any method to determine whether the series converge. 1 (a) E k=1 k' + 12k + 1 This series conver...

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Q: Given the the parametric curve | x(t) = t3 – 13 |y(t) = t³ – 7t dy (a) Find an expression for dæ dy ...

A: we are allowed to solve only 3 subparts of a question. Here are the solution of part 

Q: 1-2n The sum of the series 1 is: A) 1. B) 2. C) D) E) Diverges.

A: The given series is: ∑n=1∞121-2n which can be rewritten as: ∑n=1∞1212-2n=12∑n=1∞2-1-2n=12∑n=1∞22n=12...

Q: The sum of the series 1 is: A) 1. B) 2. 1 C) D) E) Diverges. A) B)

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Q: Identify the vertex, focus, directerix and length of the latus rectum. y= 1/14x2

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Q: 2. Find five arithmetic means between 12 and 21-6.

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Q: I. Solve each of the following by forming exact differentials. 4. (2x° + 2xy – xy)dx- (x+ 2x²y+ y° )...

A: We have to solve  (2x3+2xy2-xy)dx - (x+2x2y+y3) dy = 0       ... 1 By forming exact differentials.  ...

Q: prove that (sin?acos'x)(tan?x+ cot?x + 2) = 1

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Q: x + + x -x %3D B.s (9 C-スり(E-メ) E-トE-*ェX S. Let /(x)=x +x+1 and g(x) x-3. Find the following new fun...

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Q: 1 8. Find the value of p for which the series Lninn: (ln (In n))º is convergent. n=3

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Q: find the inverse of the function f(x)= 3^x/8+3^x f^-1(x)= b)what is the domain of the inverse func...

A: Given:       fx=3x8+3x

Q: Verify that wxy = wyx for w= In (4x + 5y). W. ху Wyx Compare wxy and wyx. Choose the correct answer ...

A: Given query is to find the correct option for partial derivatives.

Q: Find f'(-3) if f(x) = - 7x. f'(-3) = (Simplify your answer. Type an integer or a fraction.)

A: topic - derivative of a function

Q: Time A solid is formed with a base that is a triangle with vertices at (0,0), (3, 0) and (0, 1). Cro...

A:   y-10-1=x-03-0  y-1=-x3y=1-x3  

Q: d.x J (x+ 1)(교2 + 1)

A: We have to find integral  by using substitition  

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Q: Given: B 2 30° V3 A AC = O1 O 1/2 O V3/2

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Q: 3n an = 8n + 13 For the following answer blanks, decide whether the given sequence or series is conv...

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Q: A differentiable function f has one critical number at x = 8. Identify the relative extrema of fat t...

A: We have to choose correct option

Q: nAבencח x2 f(x) Let k(x) = %3D 2x- 3 Find k'(-1), given that f(-1) = -2, f'(-1) = –3. Sorry, that's ...

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Q: Alcohol-Related Traffic Accidents As a consequence of increasingly rigid rules aimed at decreasing ...

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Q: Use the formula for the binomial series: m(m–1)---(m-k+1),★ + k! m(m-1) 2! m(m-1)--(m-k+1) „k if k=1...

A: expansion through maclaurin series .

Q: y 4

A: Given: - The graph of f and g, To sketch: - The graph of the function f(g(x)),

Q: Plot the following functions 2. y = (x – 1)3 + 2

A: Topic = Function

Q: In a world where people's happiness is the product of the square of the amount of one's food which c...

A: