Use L'Hopital's Rule to find the limit or state that the limit does not exist (DNE): tan (√5x) 10x lim x → 0

Q: Given f(x) = 13x³ + 18x² - 4x + 22

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Q: Over the next 20 years, a company projects its continuous flow of revenue to be R(x) = 80e0.05%…

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Q: 33. Water is stored in a right circular cone as shown. Water is being added to the cone at a…

A: We have to find rate of change of height of water.

Q: Let g(x) = *F(t) dt, where f is the function whose graph is shown. YA 1 0 3 f 6 9 t O A. Find g(3)…

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Q: Differential equation: Families of Curves * w/ complete solution and sketch. Obtain the…

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Q: Which of the following functions has a horizontal asymptote at y = 7x - 1 8x + 1 Oy= Oy= Oy= 3x² 5 -…

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Q: INIL Find in sin (1 + 2x) + xy = ecosy dy dx

A: We need to find derivative.

Q: Find the vector equation that represents the curve of intersection of the paraboloid 2=2x²+y² and…

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Q: In decomposing the rational function C (x + 1)² A x - 5 01 0-1 O-2 02 + 0 0 B + x + 1 2 x² + 11 -as…

A: Explained below

Q: 1 3 2 1 q To find the blue shaded area above, we would calculate: b [* f(x)dx = area Where: a = f(x)…

A: Please see the below picture for detailed solution.

Q: Suppose that a company's average cost is A(x)=1.7x+7.   Step 2 of 2:    Determine the marginal cost.

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Q: Newton's Law of Cooling. The initial temperature of an object is 37.8 degree C. If it took 10…

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Q: Refer to the graph of y = f (x) with secant line PQ and tangent line PS. QR RS OQS O PQ f(x+Ax) O PR…

A: Please see the below answer.

Q: (d) (x-2) n n! n=1

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Q: Consider the following parametric curve. Answer parts a and b. x = 4+2t, y=1-6t; t = 2 a. Determine…

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Q: 1: Find dy if y³-4y² = x³ + 3x². dx 2: Find DPP 7 DERIVATIVE dy dx if sin y² - cos x² = cos y² + sin…

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Q: Differentiate the function. g'(t) = g(t) = ln(8 + tº)

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Q: Evaluate limx-0 (2 sin x - sin 2x)/(x - sin x)

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Q: Use reference angles to evaluate sec Enter the exact answers. For the number 7, either choose from…

A: Given query is to find the value of the expression.

Q: (b) Given the graph of f (x) below (blue), select the correct graph of the transformation y = 2f (x)…

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Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

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Q: Question 19 Compute the given integral. fre -1² dx = Submit Question > Jump to Answer +C

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Q: What is the value of 22 1 110 O 21 S 0 x(1-x) dx?

A: Given ∫01x(1-x9)dx   The objective is to evaluate the integral.

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: how

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Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d)…

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Q: The volume of a sphere is increasing at a constant rate of 1827 cubic centimeters per second. At the…

A: To find the rate of change of surface area of sphere.

Q: Differentiate the function. 4√x + 9x 7x² y' = y =

A: Given that y=4x+9x7x2

Q: 4) Set up the partial fraction decomposition of (x− 1)(x+2)(x² +1) Do not solve.

A: Given; (2x3-1)/[(x-1)(x+2)(x2+1)2].

Q: Assume x > 0. Use logarithmic differentiation to find dx None of these. In(x) O (√)(*) In (2) 2x O…

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Q: The answer

A: We are asked to find the increase in cost if the production level is raised from 1200 units to 1800…

Q: Quality management charges 7.5% of the monthly rent on properties it manages. If they manage nine…

A: Given Quality management charges (r)=7.5% of the monthly rent on properties it manages total number…

Q: In 1994, the moose population in a park was measured to be 4490. By 1999, the population was…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

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Q: 2. Find an equation for the tangent line to the cycloid x = et + 3, y = t² et - 3et + 2 at the point…

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Q: Find the linear approximation to the equation f(x,y)=3√ at the point (4, 6, 6), and use it to…

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Q: Given that ƒ(x) = x² − 8x and g(x) = x + 5, find: a) (fog)( − 1)= b) (gof)( − 1)=

A: Given query is to find indicated composite function.

Q: 3 x³e2x dx

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Q: Let f(x) = x for x < 0 and f(x) = sin(x) for x ≥ 0. Match the following. Here DNE means does not…

A: The function is  f(x)=x for x &lt; 0 and f(x)=sin(x) for x≥0

Q: he function y = omain tercepts ymmetry 2x+3 x+2 do the following.

A: we will find the required.

Q: S Use Trigonometric Substitution to find the indefinite integral O 4v Y 4- y² y² 4(4- y²) + C O…

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Q: Consider the following function: Step 4 of 4: Enter the x-values of any local Answer Separate…

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Q: 8. The following table shows the number of Facebook members f(t) in millions over time t, where t =…

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Q: Use the graph of f(x) shown below to answer the questions J'(x) O (a) Find lim f(x). x-1 05 01/1/20…

A: see below the answer and explanation

Q: Given the ellipse (x+3)² (y-7)² 100 49 what are the vertices and co-vertices of the ellipse? Select…

A: we need to find the vertices and co-vertices of the given ellipse.

Q: All of the functions below are invertible, except for one of them. Find the function that is not an…

A: a function is invertible only if each input has a unique output.

Q: 1 1 If g'(4) = 4 and h'(4) = 18, find f'(4) for f(x) = 79(x) + 3h(x).

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Q: 3. Solve the following inequality: x³ + 2x²-3x x-4 ≤0

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Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.