Given the function f(x), find f'(x) f(x) = 9x² COS X

Q: Graph the following system of equations. x - 4y= -1 4x-3y=6 Use the graphing tool to graph the…

A: To graph the given system of equations

Q: Simplify the expression if ||v|| = 9 and ||w|| = 6. (Give your answer as a whole or exact number.)…

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Q: E] Find domains and ranges of the following relations? Write domains and ranges in interval…

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Q: Find the equation of tangent at x = In 5: ln 2x a) y = ²x + 1 e to :

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: /1 Points] Let f(x) = DETAILS x + 19 3 if x 2 Compute each of the following values. 10 (a) f(-1) =…

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Q: Near the surface of the moon, the distance that an object falls is a function of time. It is give by…

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Q: Q. 3. a) Find first and second derivatives of the following functions: 7x

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Q: 316. [T] The graph of a folium of Descartes with equation 2x³ + 2y³ - 9xy = 0 is given in the…

A: This question can be solved using the concept of equation of tangent and normal to the given curve…

Q: Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line…

A: Greens theorem states that "for closed curve C enclosed a region R then the line integral along the…

Q: On the graph shown, what is f(2)? Y 000 -1 02 3 CJ 7 4 C-C x

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Q: write out the first four terms of the series to show how the series starts.  Then find the sum of…

A: Given ∑n=0∞9n8+n3

Q: 333. f(x)=e* Inx

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Q: 2. Determine the common ratio for the sequence: 1, 3, 9, 27, 81, ... a. 3 b. 3 Cc. -3 d./

A: Given query is to find the common ratio.

Q: 2. Determine the regular monthly deposit required to accumulate $10,000 in 5 years at an annual…

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Q: Find the slope of the line through P and Q: P( – 2, 2) and Q( – 4, 5). -

A: Given query is to find the slpe of the line passing through P and Q.

Q: Give the slope and y-intercept of the given equation, then graph it. 11. f(x) = 3x − 4 400

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Q: 2x The function y=x+C₁+C₂e-²x is the solution to the Differential equation y"+y'-2y=1-2x IF TRUE,…

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Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: At what points is the following function continuous? 3 x - 125 x²2²-25 f(x) = 7.5, 4, X#5, x# -5 x =…

A: Given function:- fx=x3-125x2-25x≠5,x≠-57.5x=54x=-5 Condition for continuity at x=a…

Q: The graph gives the number of farms in the United States from 1850 to 2000. y 7000 6000 5000 4000…

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: EXS- Find the roots of the following eq.: 2¹ - 22²4+4=0 Sol 8-

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Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

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Q: Given the function f(x) = 4x² - 7x + 5, which of the following is f(x+h)? OA. 4x²2²-7x+5+h OB. 4x²…

A: The function is given by fx = 4x2-7x+5 To evaluate: The expression of fx+h

Q: 1. Solve the following initial value problems: (a) y' - 12 = 0, y(0) = 4

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: given the parent function f(x) = x2 squared write an equation that moves f(x) left 4 units and up 1…

A: The parent function fx=x2moves 4 units left and 1 unit up.

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x² x +9x-22 x²-4 lim X-2 -

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Q: Solve: 2 cos² x = x+sin x - 1 = 0, over the interval 0 < x < 2π

A: NOTE: Refresh your page if you can't see any equations. . use the formula

Q: Show that convolution with a given function f commutes with differentiation; that is, show that…

A: I am attaching image so that you understand each and every step.

Q: 6. Determine a value of k for which the line L₁: x=3+2s, y=5-s, z=7+11s, se R is parallel to the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: Suppose ū = (–5, −4, −5) and v = (–2, 4, −5). Then u x vis Uxuis and

A: Topic- Cross Product of Vectors

Q: 39. FONZOntar, aining the point (−3, 2) 61. Parallel to the line y = 4x; containing the point (-1,2)…

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Q: 0.75-carat diamond is $5150. If the weight and the price of the diamond is linearly related, and you…

A: Given query is to find the weight of the dimond can be bought in $8900.

Q: 9. 54 = a¹

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Q: For what value of a is the following function continuous at every x? f(x) = a²x-8a, x≥2 X<2 OA. a=…

A: Topic = Functions

Q: 1. A school auditorium has 32 seats in the first row, 35 seats in the second row, 38 seats in the…

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Q: Given f(x) = 19xº sinx+12x−7, find f'(x). f'(x) =

A: Concept: Differentiation: The slope of the tangent to the curvey = f(x) at (x, f(x)) is the…

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: Find a parameterization for the curve shown in the figure below. +1 r(t) where 1,0 -1 8150 <t<

A: We have to find parameterization for the curve shown in graph.

Q: upward. flux = Compute the flux of the vector field F = 5xzi + 2yk through the surface S, which is…

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Q: What about the graph, where to plot the both lines ???

A: As S denotes the number of bowls of salad and P denotes the number of pizza slices .Also given that…

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

A: Let's find average velocity and instantaneous velocity.

Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.

Q: a) Complete the table below given f(x)=sin(3x)/x Round your answers to six decimal…

A: Compute the table for f(x)=sin(3x)x

Q: The owner of a hamburger stand finds that she can sell an average of 200 hamburgers per day if she…

A: Suppose, y is the number of hamburgers she sells and x is a price of a hamburger. And, for the…

Q: each pair of functions f(x) and g(x), find the following. F(x) = x²³ +6; g(x) = -1/2 f(g(x)) f(g(x))…

A: Topic:- function