Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

Q: Let v = (x²z, 1 – 2xyz – 3y + x²y, 3z - x²z) be the velocity field of a fluid. Compute the flux of v...

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Q: What are the new limits of integration after applying the substitution u = 5x + z to the integral s ...

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Q: ... The Factor Theorem states that if f is a polynomial function and f(c) = 0, then is a factor of f...

A: factor theorm states that  if f(a)=0 then, (x-a) is a factor of polynomial f(x)

Q: Given the function f(x)=e* – e2* Determine the equation of the tangent to f(x) at the point where x ...

A: Given query is to find the equation of the tangent to the curve.

Q: Evaluate the indicated function for f (x)=x²+6 and g(x)=x-5. (f/g)(-4)-g(6)

A: Given query is to find indicated function.

Q: A stone is dropped from the upper observation deck of a tower, 150 m above the ground. (Assume g = 9...

A: Given

Q: Differentiate. f(e) = e cos(e) sin(e) f'(e) = Nood Holn? Rend It

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Q: uestion 14 of 24 For each of the questions below, indicate if the statement is true (T) or false (F)...

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Q: Find the derivative of the function. h(t) = (t + 5)2/3(2t? - 1)3 h'(t)

A: We will use following formulas to find h'(t) 1.d/dx(xn)= nxn-1 3.d/dx(uv)=U dv/dx +vdu/dx

Q: 15. Scott Fallstrom once Epoke with his kids on the first day of the month of April about allowances...

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Q: dx J. (3+x²)$/z

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Q: Find the length of the curve defined by Y = 3x³/2 + 3 from x :3 to x = 9.

A: Question: Find the length of the curve defined by y= 3x^3/2 + 3 From x=3 to x= 9

Q: 12) cos? 0 = 1 %3D

A: For given trigonometric function we have to find out values of ( x  ) such that                    C...

Q: Ariel obtained a business loan of $235,000 at 4.52% compounded semi-annually. a. What was the size o...

A: topic- compound interest

Q: Solve. Vx-9 + /x+6 = 5 Select the correct choice below and, if necessary, fill in the answer box t

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Q: State whether the following integral is Convergent or Divergent. e*dx 8. O Convergent O Divergent

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Q: A partide moves according to a law of motion s- ft), tza, where t is measured in seconds and s in fe...

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Q: A. For the following primitives, identify the number of essential constants. (x and y are the variab...

A: Topic:- calculus

Q: Topic: Integration by parts. Evaluate the integral.  Given:  ∫ x tan−1 x dx

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Q: A company that manufactures small canoes has a fixed cost of $20,000. It costs $100 to produce each ...

A: Follow the procedure given below.

Q: 2 10 10 dx x5 x5

A: Given, a ∫2x+10x5dx b ∫122x+10x5dx We have to solve for parts (a) and (b).  

Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100, 1...

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Q: What is the accumulated value of periodic deposits of $4,500 made into an investment fund at the beg...

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Q: Given the following power series, find the radius of convergence. HINT: Determine if you want to use...

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Q: Diana obtained a business loan of $315,000 at 4.44% compounded semi-annually. a. What was the size o...

A: Given:    P = 325000    r = 4.44%     t = 30  Compound Semi Annually: n = 2

Q: Is the series divergent or convergent? With solution and explanation. +oo El-1)» (2n)! 2n n=1

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Q: Since the birth of his granddaughter, 19 years ago, Cameron has deposited $200 at the beginning of e...

A: We need to find amount accumulated and interest.

Q: Solve. 5x-8 2 ... Select the correct choice below and, if necessary, fill in the answer box to compl...

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Q: Center (-4,3) and P (1,-1) Circle Find the General Form

A: Given Center of circle is (-4,3) and p(1,-1).We know that Distance between center(x1,y1) and point o...

Q: (11) Which of the following functions f: Z x Z Z is injective (A) f(1,y) = 1/y (B) f(x,y) = x+y (C) ...

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple quest...

Q: Solve for the Differential Equation m 1. y= -- 7 2. y = Ce-2* + Cze* + 1 3. Ae* + Be-* = Iny

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Q: 9. 2x + cos x = 0

A: We use intermediate value theorem and rolle theorem to show that the given equation has only one roo...

Q: Find the derivative of the function. y = cot?(sin(e)) y' =

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

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Q: Answer this question by showing all work and formulas used to solve: Differentiate and simplify. x²+...

A: Given:              p(x) = x2+5xx-1    applying quotient rule to differentiate with respect to x, we...

Q: Solve. 8. 2 бу - 4 %D y +4 y2 - 16 y Select the correct choice below and, if necessary, fill in the ...

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Q: rivat If f be fu Hence, we vative of vative of vative of

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Q: Find (f - g)(x). f(x)= 2x- 2, g(x) = 4-x

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Q: Find the nth Taylor polynomial for the function, centered at c. 1 f(x) п %3D 4, с %3 3 2(х - 3) + 1(...

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Q: A calculus instructor uses computer aided instruction and allows students to take the midterm exam a...

A: see below the answer and explanation

Q: Calculate the amount of money Melanie had to deposit in an investment fund growing at an interest ra...

A:   Calculate the amount of money Cody had to deposit in an investment fund growing at an interest rat...

Q: Differentiate. You do not need to simplify.

A: g) given y = sinxexy' =dsinxexdxwe know that duvdx = vu'-uv'v2 

Q: Determine whether the alternating series converges. 51n k (-1 k k=3 O The series diverges. O The ser...

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Q: B. For the function g(x) = 2 | x-4 | 8 7 6 5 3 2 1 5 6. 7 8 X 8 2 |x-4| dx (X)4

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Q: Enable Zoom/Pan to

A: Given query is to find thw interval where function is increasing and decreasing.

Q: a²+2 . for n21. 2a The sequence (a defined by a =1 and If it is given that sequence (a converges, wh...

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Q: Suppose that f is a function given as f(x) = 4x – 3. We will compute the derivative of f at x = 2 as...

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Q: f(x) = x'- 12x + 2 3

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Q: In general, a partial fractions integral with a repeated irreducible quadratic factor will result in...

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1 + x %3D f(x) = 1 + ...

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