Given the curve of y=6-x² and y=x+4. Sketch the graph for -3

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 3T 2 sin(2x) sin(x) = = cos(2x) =…

A: We have to solve above question and find sin cos and tan value

Q: Find the derivative of the logarithmic functions: y = ln(12x-4)

A: Solution of given question is written in below steps.

Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

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Q: DE 1. xy(5) y(4) + x²y"" = 2yy' TYPE ORDER DEGREE LINEARITY

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Q: If then is equal to Select one: -2 2 -5 O 5 none of the others [²5(x) f(x)dx = 7 and f(x)dx = 2 ['se…

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Q: What prevents the transformation (x,y)=(3x, -3y) from being called a dilation? Explain your awnser.

A: Given (x,y)=(3x,-3y) Dilation is a transformation, which is used to resize the object.

Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: Complete the parametric equations of the line through the point (4,-8,3) and perpendicular to the…

A: See this solution in below

Q: 3. Obtain the DE of the family of circles with center at (2,-3). Draw at least 4 representative…

A: Given question:- 3. Obtain the DE of the family of circles with centre (2,-3). Draw at least 4…

Q: The line L with symmetric equations point P(3,-3, -2). Select one: True False x+3 = = passes through…

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Q: Consider the double integral f(x,y)=(x²+y2) 3/² over the region R where y is bounded between 0 and…

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Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: Find a vector function that represents the curves of intersection of the two surfaces. 1.- The…

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Q: Evaluate the integral or state that it diverges.

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

Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = c₁f₁(x) +…

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Q: Eliminate the parameter t to find a Cartesian equation for: = t² X y = 2+5t The resulting equation…

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Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: Let C be the curve y = 12 11 10 9 8 7 16 16 5 A m Cy 1.5 x³ 1 + for 0.6 3.7. 3x 4 2,5 3 Find the arc…

A: We are given a curve C : y= x3/4 + 1/(3x)  for 0.6≤x≤3.7. We have to find arc length of C.…

Q: Ted's Machine Shop purchased a computer to use in tuning engines. To finance the purchase, the…

A: topic - compound interest

Q: Let a = -27 +53 + 4k. Find a.

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Q: 31. Find the volume of the solid obtained by rotating the region bounded by x=y²-2 and y=x about the…

A: Let's find volume of solid.

Q: A fast-food restaurant has a cost of production C (x) When does the company start to turn a profit?…

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Q: Evaluate the improper integral or show that it diverges. 6 S dx 0 √36-x² Select the correct choice…

A: Explanation of the answer is as follows

Q: The function f(x) = 3x ln(1 + x) is represented as a power series f(x) = Σ cnan. n=0 Find the…

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Q: Consider a object thrown from (0,0,0) at a speed of 500 ft/sec, with an angle of 45 degrees. What is…

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Q: Given f(x)=x/(x^2+4) find f''(x). Please do on paper.

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Q: Find the sum of the series or show that it diverge 4 (a) Σn=1(3+2 + 8n-2

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Q: Let à = i +43 and b - 37 - 7j. Find a . b

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Q: Convert the polar coordinate (5, 1) X = y = to Cartesian coordinates.

A: Note that, cartesian to polar conversion is given by: x=rcos θ, y=r sin θ

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: X √I + X dx

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Q: use a graphing utility to graph f(x)= -0.2x^3 - 0.5x^2 + 4x -4 on the interval [-6,4] and…

A: The given function fx=-0.2x3-0.5x2+4x-4 on the interval -6,4

Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

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Q: Q5: Find the area shared by the cardioid r = 1 + cose and the circle r = 3 cos 0. Graph the two…

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Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

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Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: The intervals on which f(x) = x² ln x is increasing and decreasing, and the intervals of concavity…

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

Q: Given i) Find the values of x and y when t = 3. the va Find dy E dx RAL LWhen IMA nd when 123 CALC…

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Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

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Q: 4x²5w, if x ≤ -2 5x - 4, if – 2 3 Find w so that f (x) is continuous at x = −2. A. -6 Given: f(x) =…

A: Given that fx=4x2-5w,   if x≤-25x-4 if -2<x≤356x-2, x>3To find :w so that fx is continuous at…

Q: Let a = 5j + k and b - 27 + 3 + 2k. Find - 3ā – 36.

A: We can find the given vectors.

Q: If 2 [² then f(x)dx = 5 and is equal to 10 5 prox Select one: O 15 O none of the others O -5 5…

A: The given integral is f(x) limit from 1 to 2 equal to 5 and the integral f(x) limit from 2 to 5…

Q: Prove the statement using the €, & definition of lim(x² + 2x - 7) = 1. →2

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Q: True or False: We have Select one: True O False 2 x² dx > 2 [₁² x x³ dx 3

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Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

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Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

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Q: (a) Find the integral of 6.x8 √21° +7 dx. **IDENTIA YAMIMATIO

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Q: Find all the values of x such that the given series would converge. (8x)" n11 n=1 The series is…

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Q: Let à = 5j + k and b -2i+j+2k. Find - 3ā – 3b.

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Q: Verify if the indicated equation is an explicit or implicit solution of the given DE 1. y=csc(x+c):…

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