a) f'(x) if f(x) = 3 ln(x) 5

Q: Given y = f(u) and u = g(x), find dy dx y = tan u, u = 11x +4 = f'(g(x))g'(x) = dy - = f'(g(x))g'(x)…

A: Given: Also, So,            dydx=ddutan(u)ddxu       =ddutan(u)ddx11x+4       =sec2u  (11)…

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Q: Given f(x, y) = sin(x + y) where x = s¹t5, y = 4s - 5t. Find af მs af Ət 11 11

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Q: It is estimated that t years from now the population of a city will be P(t) = 30(35+41)² - 1700t.…

A: We need to find the population in 5 years

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Q: (y). Find and classify all critical points of the function. If there are more blanks than critical…

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Q: 6. Determine the limits obtained by approaching (0,0) along both the x and y What does this say…

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Q: QUESTION 13 Use the horizontal line test to determine whether the function is one-to-one. -10 00 No…

A: In a horizontal line test we draw lines parallel to x axis on the XY plane on which the graph of the…

Q: Let lim g(x)=8_and_lim h(x) = 5 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x)

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Q: a) Cos x+0.75= 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Let f(x) = 3x - x² x²-9 (a) Find all horizontal asymptotes of y = f(x) (or explain why there are…

A: The function has one horizontal asymptotes and two vertical asymptotes

Q: I need help with this problem: The problem is described in the image below. Its topic is from a…

A: a]Moving right in the interval (0,1), (4,6)b]Moving left in the interval (2,3)c]Standing still in…

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Q: f(x)=√1-x². (arc sin x)

A: Given query is to find the derivative.

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Q: Consider the following curve. y = 2x3/2, Set up an integral that can be used to find the exact…

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Q: f(x) = 8x2x3, find f'(2) and use it to find an equation of the tangent line to the curve y = 8x2x3…

A: Let's find equation of tangent line.

Q: Let g(x) = (a) Evaluate each of the following, if it exists. (If an answer does not exist, enter…

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Q: Let lim g(x) = 8 and lim h(x) x →4 x→4 = 4 Determine the value of the limit X lim x→4 g(x) + h(x)

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Q: 1 (x 1 + 4) - 0 (X-3) 2 호 + 1 (x

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Q: let f(x) = 3x2 - 2x +1 find f(-2)   let f(x) = 3x-4 find f(x+h) let f(x)= x2 -1 find f(x-1)

A: (a). The given function is: fx=3x2-2x+1

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Q: For the function f(x, y) = cos(7x) cos(5y), find the second degree Taylor polynomial centered at (a,…

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Q: QUESTION 4 Evaluate the expression. (f. g)(-2) when f(x) = -2x + 3 and g(x) = -8x² + 5x + 6. O-15…

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Q: Use the given graph of the function to find the x-values for which f is not differentiable. -6…

A: We know   Any function is not differentiable at discontinuity and sharp edges.

Q: Find d²y 히 2 dx y = -5x + 2

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Q: Determine the exact solutions for x on the interval [0,2π). This problem has inverse trig in the…

A: Given trignometry equation sin( 2x ) = 45

Q: Use the Power Rule to compute the de d 4 x dx |x=-1 ID

A: We will find the  required derivative.

Q: 41. The figure shows the graphs of three functions. One is the position function of a car, one is…

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Q: Find the sum of the series below. Σ n=1 24η (2η – 1)2 (2n + 1)2 -

A: Answer: The solution is as given below:

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Q: Evaluate the integral. T co cos(x) sinh(x) dx

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Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

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Q: Use technology to sketch the level curve of f(x, y) = 4x - 2y + 9 that passes through P(1, 2) and…

A: Given: f(x, y)=4x-2y+9 Level curve passes through point P(1,2). The gradient vector at P=?

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Q: Let f(x) = -8x + 3x2. Then the expression can be written in the form Ah + Bx + C, where A, B, and C…

A: The given function fx=-8x+3x2. We have to find the expression fx+h-fxh and the values of f'1, f'2,…

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A:

Q: List the first five terms of the sequence. 2₁ = 6, an+1 = 2a + 3

A: Explanation of the answer is as follows

Q: Consider the function f(x) = 4x³ + 42x² + 144x on the interval [-8, 5]. Find the absolute extrema…

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Q: Evaluate the integral using Integration by Parts as a first step. sin -1 (x) 5x² dx (Express numbers…

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Q: 1. Consider the graph of f(x) given below: 101 (a) Find the following: i. lim f(x) 8 ii. lim f(x)…

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Q: Suppose f = 200x¹y and fy 200x¹y and fy = Make use of two antiderivatives f(x, y) = 160x5y³ +…

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Q: 1. The function y = 6(x - 1)*(x-2)²(x + 1) Changes sign at a. x = 1 b. x = 2 c. x d. it does not…

A: from bartleby policy we supposed to do only first part of multiple questions (1)…

Q: Consider the following relation. f(x) ====2²² -x f(-2) = 1 Step 3 of 3: Determine the implied domain…

A: we can solve this as follows:

Q: TOPIC 2: Derivatives of Logarithmic Functions (ba Basic Rules: (In x)': a) f(x)=- +2 In(x) 2 X .…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Use the indicated substitution to evaluate the integral. Let x = 13 tan (0). (Give an exact answer.…

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Q: If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4). f(4)…

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Q: Design a rectangular milk carton box of width w, length 1, and height h which holds 528 cm³ of milk.…

A: Given data ÷ Width of the box = w Length of the box = l Height of the box = h Volume of the box =…

Q: Consider the function f(x) = 9x - 4 on the interval [-3, 2]. Find the absolute extrema for the…

A: Given the function fx = 9x-4 on the interval -3, 2.