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Q: y = f(x) N.K. X -1- (a) lim [f(x) + g(x)] (b) lim [f(x) = g(x)] - (c) lim [f(x)g(x)] -1 y 1 y = g(x)

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Q: (Technology Permitted) The population P of wild turkeys in a sanctuary is given by P(t)=e¹+² 5+1500,…

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Q: Obtain the derivative dy/dx. y = 14 dy = dx State the rules that you use. (Select all that apply.)…

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Q: Find the curvature of the curve r(t) = (e−²t, 2t, 4) at the point (1, 0, 4).

A: Topic = Vector

Q: Find the derivative of the function using the chain rule (not the "u" version)   *please use…

A: Topic:- application of derivatives using chain rule

Q: Find the fourth derivative of f(x)=3x^−2

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Q: Find f'(t) if f(t) = − 5t² + 6t + 1.

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Q: Use the table to evaluate the expression. (fog)(6) X f(x) g(x) 1 5 3 2 1 5 3 6 6 4 2 2 5 3 1 6 1 4

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Q: ONLY DO THE GRAPHS AND EMPHASIZE THE LIMITS 1. 2. 3. lim 1-3 x²-9 lim 1-3 √x+1-2 lim √x²+7-3 x+3…

A: We have to graph the function and emphasize the limit.

Q: Given the functions f(x) = x2+ 3x, g(x) = √x + 1, and h(x) = 5, find each of the following: (i)…

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Q: The median home price in the United States over the period January 2010-January 2015 can be…

A: Topic- Application of derivatives we are given P(t)=4.5t2-15t+180 where P(t) represents median home…

Q: Evaluate if the limits exist of the following (show your table of values): A. lim Inx x-0 x3 1 x1…

A: See this solution in below.

Q: Find the marginal average cost function if cost and revenue are given by C(x) = 165+ 7.3x and R(x) =…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is the surface…

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Q: 3x² - y2 + 18x-2y-10=0 4x²-4y²-8x-8y-19 = 0

A: Given Equations:- 1. 3x2-y2+18x-2y-10=0 2. 4x2-4y2-8x-8y-19=0

Q: (a) Let f(x) = (x+5)4, 20. Find a formula for f-¹(x). Answer: (b) For what values of x is f-¹…

A: Topic = Functions

Q: ← Find the following limit. lim X-0.2 lim X-0.2 x+5 √x+1 x+5 √x+1 ... کا و ایران کانوں

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Q: find the domain os f(x)=1/sqrt(x-9)

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Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t³…

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Q: For f(x)= square root x and g(x)=x-1 find the following function (gof)(x) H HE

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Q: Tutorial Exercise Find the open interval(s) on which the curve given by the vector-valued function…

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Q: Find the average cost function if cost and revenue are given by C(x) = 144 +2.3x and R(x) = 3x…

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Q: 1 5-Prove that cos (tan-¹ x) = √7X²' 1+x² -∞0 < x < ∞

A: The proof of the given inverse trigonometry problem is as follow.

Q: The following exercise presents a problem similar to an exercise from the previous section of this…

A: Solution

Q: Suppose that f(x) = C 4x-8 Then, The domain of f is {a E Rx # Number f-¹(z) = } an and

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Q: For f(x) = 10/x and g(x) = 10/x, find the following function (gof)(2)

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Q: Solve the following exact differential equation (yery + 3x²)dx + (xeªy − 7)dy = 0 Express your…

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Q: 2.   Evaluate the integral. 7   5 dx (x − 6)2   please show step by step clealry.

A: Topic = Integration

Q: how to apply the chain rule the following equation Y=sin 5x/2

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Q: 2. Graph and find the vertical asymptote of the function: x² + 1 3x - 2x² y =

A: Giveny=x2+13x-2x2

Q: Find the initial value a, growth/decay factor b, and growth/decay rater for the following…

A: We have given  Qt=0.00292.52-4t Qt=0.002912.544t Qt=0.0029(0.024025096)t Comparing We with equation…

Q: Evaluate the integral. 4u²-√u น du

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Q: At what points is the function y = COS X 6x continuous? Describe the set of x-values where the…

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Q: Q2. Using cylindrical coordinates to find the volume of the region bounded below by the cone z =…

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Q: Evaluate the integral. 2 1²3² +*+20 + 4x + 20 dx

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Q: Solve the initial value problem with piecewise right hand side where f(x) = = y(x) = y(x) = 7 if 0≤x…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2100 + 50x -0.1x². (A) Find the…

A: We have given total cost Cx=2100+50x-0·1x2 (a) When 31st food processor is produced  Put x=31…

Q: 2. 2²-25 lim 1-25 r²- Ar

A: limx→5x2-25x2-4x-5 We have to find the limit value.

Q: Find the value(s) of k that makes the given function continuous. f(x) = { √kx if 0 < x < 2 4x + 17…

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Q: If 6x²y + xy² = 7x, find y' by implicit differentiation. y' =

A: Solution is done in step 2

Q: Consider the following. f(x)=x²-6x² + 7

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Q: A solid is obtained by rotating the shaded region about the specified line. about the x-axis V = y 3…

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Q: Obtain the derivative dy/dx. HINT [See Examples 1 and 2.] y = 6x³ + 9x dy dx - O power rule State…

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Q: Find the equation of the tangent line to the curve y= -5/x+2 at x=1. (Use the limit definition of a…

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Q: Question 4x5 -1.² 2 If F(x) = 2 In (†²) dt, what is F! (x)? (Do not include "F'(x) =" in your…

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Q: Find the line tangent to the curve f(x) = 2x³ - 8√x at the point where x = 4.

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Q: Help Entering Answers .Write the equation z = √² + y² in spherical coordinates. (Simplify as much as…

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Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 30x −0.2x². (A) Find the…

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Q: Evaluate if the limits exist of the following (show your table of values): A. lim Inx x→0 x³-1 x+1…

A: limx→ 0lnx

Q: Question Given f(x) = 2 - 5x³, use a table to estimate the slope of the tangent line to f at the…

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