lim 818 9x³ + 8x - 4 3 3 – 5x + r

Q: Let f (x) = x^2 -3x+5 a) use the definition of the derivative learned in class to compute f'(-2) b)…

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Q: Using the Laplace transform, solve: y" +9y=r(t), y(0) = 0, y'(0) = 16, - where r(t) = 8 sint if 0…

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Q: (a) In these examples you will need to enter exact answers. When you click on the answer field, the…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the partial fraction decomposition of the rational function. 4 (x - 1)(x+3)

A: Given query is to find the partial fraction decomposition.

Q: A function and its graph are given. Use the graph to find each of the following, if they exist. Then…

A: For the given function  f(x)= x-5x-4  Find  a) Vertical asymptotes  b) limx→∞f(x)c) limx→-∞f(x) d)…

Q: Determine all of the solutions in the interval 0° ≤ 0 < 360°. (Enter your answers as a…

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Q: The average value of f(x, y) = (3x + 4y)³ on the region R = {(x, y) |0 ≤ x ≤ 2,0 ≤ y ≤ 2} is: 4000

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Q: Find f'(a). ƒ'(a) = f(x) = V 2 - 2x

A: Given query is to find indicated derivative.

Q: Complete the parametric equations of the line through the points (-8,2,-6) and (-2,6,-1) x(t) = 8 +…

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Q: Find fax, fxy and fy for the function f(x, y) = 3x³ + 3xy² + 2x³y² + 3y² Select one:

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Q: A nonhomogeneous differential equation, a complementary solution yc, and a particular solution y,…

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Q: Suppose that an is an infinite series with partial sum S√ = 8 - 2 N2 10 10 16 What are the values of…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Compute w using w= 5 1 -3 Iw=(Type an exact answer, using radicals as needed.)

A: Given :w=45-3 To find: w

Q: If f is the function whose graph is give

A: here,  we have graph of a function f(x) :-then we have to check which of the following properties f…

Q: 13) y = 4 + lnx solves xy' = 1

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Q: 4ac- 62 { Acos (VABC-B³² x) 2a y(x) = Ã cos + B sin y(x) = A cos bx ²x)} exp (-26) 2a 4ac- 62 2a We…

A: Please see the below picture for detailed solution.

Q: Use the shortcut rules to mentally calculate the derivative of the given function. HINT [See…

A: Given : f(x) = x5

Q: X= 16x +31x²2 =2 (Simplify your answer, including any radicals and i as needed. Use integers or…

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Q: Find the distance between the skew lines r(t) = (2, 3, 1)t + (5, -4,-7) and p(s) = (0, -4, -1)s +…

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Q: Monica has recently inherited $8900, which she wants to deposit into an IRA account. She has…

A: The given data is: P=$8900r=5% (account 2)Time t=5 years  To find: How much would Monica's balance…

Q: Find the inverse function of f(x) = 3 − 4x3

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Q: Find an equation of the tangent line to the curve 2(x² + y²)² = 25(x² - y²) (a lemniscate) at the…

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Q: help! i do not now the answer

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Q: Use the Linear Approximation to estimate the change in stopping distance per additional mph when s =…

A: We have yo find change in stopping distance for per additional mph when

Q: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 6x²…

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Q: (a) Determine which of the following statements are correct. Select all that apply. sin (1) = 0 O…

A: according to bartleby policy we do only first part (a)  (i)  we know sin(0)=0sin(π2)=1

Q: The graph of y = f(x) has the following features: • lim f(x) = 0 148 lim f(x) = -4 8178 • lim f(x) =…

A: According to the question  As in question four different limits is given in question.

Q: Use the Factor Theorem to determine whether x - c is a factor of f(x). f(x) = x³ + 6x² - 14x + 16; x…

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Q: Figure 10-2. The graph depicts the market for plastic. 16 14 12- 10- 8- Price O200 units O 450 units…

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Q: A vehicle moving along a straight road has distance f(t) from its starting point at time t. Which of…

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Q: In a circular city of radius 4 kilometers (centered at (0,0)), the population density is given by…

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Q: For the quadratic function f(x)=x²-2x-8, answer parts (a) through (c).

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Q: Suppose that P₂(x) = a + bx + cx² is the second degree Taylor polynomial for the function f about x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 3. Determine the function represented by the graph -2TT 211 31 4T 5T 6T 711 8TT

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Q: For f(x)= x + 4 and g(x) = 2 x + 6, find (gf) (x). o O 2x²+14x+24 O 2x²+10 O 2x² +14x+10 O 2x² +24

A: Let x=a and f(x)=y and z=g(y) Then, z=g(y) = g(f(x)) Now, for x=a, z=g(f(a)). Actually, here (gf)(x)…

Q: A researcher performs an experiment to test a hypothesis that involves the nutrients niacin and…

A: Let the number of grams of food A be x and number of grams of food B be y.

Q: Find the volume V of the solid obtained by rotating the region bounded by the curves x=4√y,x=0,y=6;…

A: Here we have to find the volume.

Q: n. y = (x + ln x)³

A: Note:- We have to find derivative of Y.

Q: Solve the equation Ax=b by using the LU factorization given for A. 4 A = - 12 y X -4 4 10 -7 12 - 10…

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Q: Determine the recursive definition for the function f(n) = n + 2", where n ≥ 0.

A: Determine the recursive definition for the function f(n) = n + 2 , where n≥ 0.

Q: x)=cos x, then f"(x)=

A: Given query is to find indicated derivative.

Q: Find the mass of a lamina bounded by y = 2√√√x, x = 1, and y = 0 with the density function o(x, y) =…

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Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 15, where frepresents the price of…

A: Given: Let f(x)=x-15, where f represents the price of the jeans discounted by $15. Let g(x)=0.8x…

Q: 7 If p is an odd number greater than 1, show that (p-1)(2)-1 is divisible by p - 2. [Hint: Let p= 2n…

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Q: S 3x-7 (5-12x-9x²)² 3/2 dx

A: ∫3x-75-12x-9x23/2dx

Q: 20) log (x-4) - log (x + 6) = 1

A: equation

Q: Explain the order of the 3 transformations represented by the notation: -f(x+3)-5 Include an example…

A: Let the given function be f(x).

Q: Find the curvature of the curve r(t). . r(t) = (6t + 9)i - Zj + (2 – 3t)k - 7 = 1 6(1+12)3/2…

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Q: Find a positive number a such that the sum of 4x and is as small as possible. X = Does this problem…

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Q: Can Rolle's Theorem can be applied to x³ - 4x² + 3x x-1 f(x) on the interval [0, 3]? 1. No because…

A: Given query is to find rolle's theorem can be applied or not