Find the slope of the tangent line to the graph of the function at the given point. -2x y = e V

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Q: tank contains 80 kg of salt and 2000 L of water. Water containing 0.7 kg/L of salt enters the tank…

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A: a(t)=2i+6tj+12t2kv(0)=ir(0)=3j-6k

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Q: 17. Define the function f as follows: x-1 √x-1 f(x) = 3 2 2x-1 if x 1. (a) Determine if f is…

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Q: Q7: Air is being pumped into a spherical balloon so that its volume increases at a rate of 100…

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Q: T/F (with justification) The graph of the function y(x) = 3 + 6e−kx, with k a positive constant, has…

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Q: find the derivative of the function  r(x) = 2/3x^2 + 1/x^(2.1)

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Q: Answer the questions about the following function. f(x) = 4x²-x-3 (a) Is the point (-2,15) on the…

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Q: 1. Find the partial derivatives f(x,y) and (x,y) if f (x,y) = 6xy - x³ y4 +7x - 2. Find the partial…

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Q: -5-4 -3 -2 -1 ƒ'(−2) = 2 X 5 4 3 ƒ'(−3) = 3 X 2 1 -1 -2 -3 -4 -5+ Use the graph of f(x) above to…

A: As we know The slope of a tangent line passes through points

Q: Find the formula for the nth term in the sequence: −3/2 , −1/6, 1/12, 3/20, 5/30, . . . Integers…

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Q: 5. Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: Intermediate Value Theorem:Let f be a continuous function on the interval .Then Intermediate value…

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Q: Question 2 The graph below is the function f(x) -5 -4 -3 lim I-4- 9 4 3 2 1 lim I→−4+ d -3 -4 Find…

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Q: Suppose n E N and u, v € V₁ such that |u| = 5, |v|= 4 and u⚫v=-7 Find |3u + v. Find t R such that u…

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Q: = -x7/6. Compute the quantity f'(1). Let f(x) = -x7/6 ƒ'(1) = Number

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Q: Determine the critical point of the function and use the critical studied to classify it(s) as a…

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Q: Consider the following. sin³(y) cos (y) dy ---Select--- This is an integral of the form sin(y)…

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 7x² +…

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Q: Find the inverse Laplace transform of F(s) f(t) = = -5s + 18 s² - 4s + 20

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Q: (a) Complete the table of values for the difference quotient for s(x) = x at x = 2 for each value of…

A: (a) Complete the table of values?(b) s'(2)?

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A: In this question, we will find continuity or discontinuity.

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Q: Find the limit. lim t-0 (e-sti i + t² sin²(t) -j + tan(4t) k)

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Q: The graph below is the function f(x) 8+ 7 6+ lim f(x) = x-x -8 -7 -6 -5 -4 -3 -2 -1 5 4 3 2 1 16 -2…

A: A graph of the function is given.The aim is to find the limit .

Q: limt 3 (t¹ – 5t³ + 2) = - If the limit does not exist, write "Does not exist" without punctuation.…

A: To evaluate each of the following limit.

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Q: Evaluate the following indefinite integrals. x 1+x4 dx 2. S

A: Given data

Q: f(x, y) = x² - 4xy + 5 R = {(x, y): 1 ≤ x ≤ 4,0 ≤ y ≤ 2} absolute maximum absolute minimum (x, y, z)…

A: Absolute maximum : It is the maximum value of the function within the given region.Absolute minimum…

Q: u = (1,7,-3) and v = (3,-2,3) Find u. v Find u x v Find an equation for the plane through P(4, 1, 1)…

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Q: Find the indefinite integral. 9 /(√² + ²-3c²) dr 3e

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Q: QUESTION 2 The rabbit population on a 73-acre wildlife preserve was 32 on January 1,2012 . a)…

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Q: Consider the following function. f(x) = |x − 2| Find the derivative from the left at x = 2. If it…

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Q: 26. dy dx 2xy² + 3x²y², y(1) = −1

A: We have given,   dy/dx = 2xy2 + 3x2y2    y(1) = -1

Q: Find the equation of the tangent line to the function f(x) = 3x² + 4x − 4 at the point where x = -1.…

A: We have to find the tangent line of the given function at x=(-1).So, first, we have to find the…

Q: Evaluate the integral. I'w ² w² In(w) dw

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Q: Find the equation of the tangent line to the graph of the given function at the point with the…

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Q: The integral 27 12xe-x² dx can be done with the substitution u = e X and du = xe X dx.

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Q: Use an iterated integral to find the area of the region bounded by the graphs of the equations.

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: -32²-7z Let f(z) - (a) Compute the derivative of f. f'(z) - P₂ a b √a la a b (b) Find the indefinite…

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Q: radius at the top of 2 m and a height of 7 m. The tank also has a 2 m spout at the top of the tank.…

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Q: 2. dy + 2y = 0 dx de 53,

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Q: Let h be the function given below. On which of the following intervals is h continuous? You may not…

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Q: Let f(z) - 223 (a) Give one antiderivative of f(z) (any one would do). (b) Compute the following…

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Q: Find the points of intersection of the graphs of the functions. (Round your answers to three decimal…

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Q: The graph below is the function f (x) -5 -4 3 -2 -2 3 2 I→-4- 7 -1 -2 -3 12 Find the following. If…

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Q: Consider the function g(x) = = Evaluate the following limits d. lim g(x) x-2- e. lim g(x) x-2+ f.…

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