For the function f(x) = -3 sin (x- two periods. 3π x - ³7) determine its amplitude and period, and then graph it for Enter the exact answers. For the number 7, either choose from the bar at the top or type in Pi (with a capital P). Amplitude: A = Number Period: P =

Q: Rewrite sin (+7) in terms of sin x and cos x. Simplify your answer. Enclose arguments of functions…

A: We use ⇒sinA+B=sinAcosB+cosAsinB

Q: Determine if the following matrix is in reduced form. If not, indicate the row operation(s)…

A: In reduced form of matrix, every row should have 1 as it's first non zero element.

Q: Let be a curve in the xy-plane. Find d'y dx² -|(x, y)=(1, 1) = _ 6x³3 + 19y³ = 25 તે પુ da²(x,…

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Q: Find ay dt + = -1 (+-√e ³ sin ¹ (2+) 1(5+2log +) 9

A: We will use the formula ddtmn=nm'-mn'n2

Q: Use this graph of y = f(x): -5 -4 -3 -2 -1 -0-* lim f(x) = *→0+ lim f(x)= = 3 07* 2. 18 -1 -2Q to…

A: see below the answers

Q: Find the vector component of v = (4, -1, 7) along b = (1, 4, -8) and the vector component of v…

A: For the solution follow the next steps.

Q: Problem 5.6 Implicit Differentiation a) Use implicit differentiation to find dy/dx at the given…

A: As per the guidelines we are supposed to answer only one question at a time. If you want answers of…

Q: Find and simplify: -3 sin-¹ ( ¹(3³) y= dx y = sin-1

A:

Q: Let g and h be functions defined by g(x) = 2× · f(x) and h(x)=3x² + 4x-In√x. Part A: Find g'(8).…

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Q: The curve y = ax + bx+c passes through the point (1,5) and is tangent to the line y = 2x at the…

A: Given query is to find the value of a , b and c.

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: Graph the solution, to the following system of inequalities. -4x+7y x- Then give the coordinates of…

A:

Q: On one production line in a small custom chip factory, marginal costs decrease rapidly as more chips…

A: Given Marginal cost function:- C'x=201+0.04x

Q: For the function f(x) two periods. Enter the exact answers. 2 cot a determine its stretching factor…

A: We can solve this as follows:

Q: Make a sign diagram for the derivative of the rational function. f(x) = --Select--- relative max 12…

A: Given data:- The given rational function is, fx=12x2+2x-3

Q: Determine the Domain and Range for the graph below. Write your answers in Interval Notation. -5 -4…

A: The graph of the function is To determine: The domain and the range for the graph.

Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: Evaluate f"(x) when x = π/4 if f(x) = sin(x)cos(x)

A:

Q: Compute the average value of the following function over the region R. f(x,y) = 2 e Y; R={(x,y):…

A: Please see the below picture for detailed solution.

Q: You go to the doctor and he gives you 12 milligrams of radioactive dye. After 12 minutes, 5.25…

A: We have to find the minimum time of visit.

Q: A. Write out the equation for the Standard Form of a quadratic function and give an origi B. Write…

A: A.  Standard form  where ( h , k ) is vertex.  Example    B. General form example

Q: Sketch the region enclosed by the curves y = 4 x² and y = x² - 4. List the points of intersection of…

A: Given equations :-y=4-x2,y=x2-4

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A: We have to find the rate of change of perimeter.

Q: Find an expression for the general term of the Taylor series 9 In(1 + 3x) = 3x x + 27 3 23 81 4 X +…

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Q: Find all points (x,y) on the graph of y = X X-4 with tangent lines perpendicular to the line y = 4x…

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Q: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

A: A tank holds 100 gallons of water, which drains from a leak at the bottom, causing the tank to empty…

Q: Calculate the cross product. (3j - 4k) x (8j + k) = ai + bj + ck (Give your answer using standard…

A: To find the cross product of given vectors.

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A:

Q: If f f (x) dx = sin²(x) + C, then find the function f(x).

A: If ∫fx dx=12sin2x+C, then to find the function fx.

Q: 14x - 42 x² + x - 12 1. Write the function in completely factored form: Consider the function f(x) =…

A: Concept: The line x=L is a vertical asymptote of the function y=14x-42x2+x-12, if the limit of the…

Q: Find the first 4 non-zero terms of the Taylor polynomial centered at x = 0 for f(x) = cosx

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Q: 1 F(x) e(u) Set up an integral to find the area A of the region enclosed between f(x) = 0.9x² + 2…

A: Given Data: f(x)=0.9x2+2 g(x)=2

Q: a. b. C. lim 3-5 (YOU MAY USE ANY TECHNIQUE COV x-1-√√3x +1 x-5 1-x lim x-6 (x-6)² (A TABLE OF…

A:

Q: Graph all asymptotes of the rational function. f(x)=-x2-2x+4             x+3

A: We need to graph the asymptotes.

Q: Find using properties of logarithms: y = ln (= cos(z)) 36x-1 dy d

A: We can find the derivative using the properties of logarithms in in the below steps.

Q: The function is continuous at g= 0. Determine if it is differentiable at g = 0

A: The given function:Fg=2g2-gif g≤0tangif g>0.We need to check the differentiability at g=0.

Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: Acceleration after 1 second: -12 (c) Find the acceleration at the instant when the velocity is 0.…

A: We can answer the last question as per the definition of acceleration in the below steps.

Q: (b) Is the function f(x)=z+z+1| continuous at every z? Is it differentiable at every z? Sketch the…

A: Explanation of the answer is as follows

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A: Topic- Mean value theorem We are given, distance of a race= 16 mile speed of runner A=8 miles per…

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: Given; u=<1,3,1> v=<0,6,6> w=<-4,0,-4>.

Q: Find sin(), cos(4), and tan 2 cos(x) 180° < x < 270° sin (4) - COS cos (4) = tan (*) = = 24 25' from…

A: given cosx=-2425by half angle formula sinx2=±1-cos(x)2given that 180&lt;x&lt;270so 90&lt;x2&lt;135…

Q: (2) (a) Graph y = 1/t¹.¹ and y = 1/t0.⁹. Select two viewing windows (a) [0, 10] × [0, 1], (b) [0,…

A: As per bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Use the method of cylindrical shells to find the volume of the solid formed by rotating the region…

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Q: It is known that f(-5) = 15, ƒ'( – 5) = f''(-5) = 15, -10, - - - f(3) (-5) = 5, and ƒ(4) (-5) = -2.…

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Q: if cost and revenue are given by C(x) = 187 +0.8x and R(x) = 8x-0.02x

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Q: Use the Squeeze Theorem to evaluate the limit. (Give your answer as a whole number.) 1 lim (x² − 16)…

A: Please see the below picture for detailed solution.

Q: Suppose that f(x, y) = 4x² + 4y¹ − xy

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Q: Write a differential equation that models the given situation. The stated rate of change is with…

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Q: 4. You need make an open rectangular box (i.e. no top) with square base that can hold 13500 cm³ of…

A: