If a reflection is performed on the graph of y y = 3+1 and the equation x-1, the reflection was done: 2 becomes y =

Q: - Problem 2: x³y"" − 3x²y" + 6xy' - 12y = 2x¹ + lnx

A: The given differential equation is;  x3y'''-3x2y''+6xy'-12y=2x4+lnx.

Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

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Q: Solve the triangle. Round to the nearest tenth when necessary or to the nearest minute as…

A: The given triangle has measures, ∠A=26°, ∠B=51°, AB=22m

Q: Norma is running a race. Between time t = 0 min and t = 15 min, her speed is 4 miles an hour;…

A: Given speed of Nomra from 0 to 15 min is 4 miles per hour Speed of Norma from 15 to 30 min is 6…

Q: (15) Complete the table: fcf(x) dx S[f(x) + g(x)]dx f[f(x) = g(x)]dx fkdx fx" dx f sin(x) dx f…

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Q: Q5 a) If f(x) = ² (1 - 1²) e¹² dt, on what interval is f increasing? b). Find a function f and a…

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Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: Use cylindrical coordinates to find the volume of the solid bounded above by z = 3x and below by z =…

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Q: Solve y(1): dy/dt + x = 1; dx/dt -y + 4et = 0; x(0)=0 and y(0)=0. 6.33 4.89 O 7.10 3.51 O 1.80

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Q: If the number of sales is inversely proportional to the price of a product, write the differential…

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Q: Find the second derivative of the function. f(x) = sec x f"(x)= sec x sec x(sec² + tan² 2 tan²x)…

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Q: (3) Theorem: The area between the curves y = f(x) and y g(x) and between x = a and y = b is A =…

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Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

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

Q: 2-Consider the function defined by the base i) Find dz (ii) Prove that x дz ?x - дz ду z =…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: 12

A: Topic - gradient of a vector

Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 5 cos(t)i + 11 sin(t)j…

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Q: 9. The marginal cost of producing a tablet computers is C'(x)=1200.06x +0.000012² (a) What is the…

A: Concept: We have given the marginal cost in form of the first derivative Integrating it we will get…

Q: Find the divergence of the vector field. F(x, y, z)= 7x¹i, 7xy7j O divF(x, y, z) = 7x³¡— Ţxy³j…

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Q: For numbers 24-30, consider f(x) = -x +8x³-18x² + 10. Read the following statements carefully. Each…

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Q: Find the derivative of the function without using the Quotient Rule. Step 1 Rewrite the equation so…

A: Given y=1112x5

Q: Find the general solution of the following differential equation. (y+2)dx + (x-2)dy = 0 Send…

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

Q: 2-3i/1-2i

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Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: Find the area of the region enclosed by the graphs of x + y = 7 and √x + √√y = √7. (Use symbolic…

A: This question is based on application of integration.

Q: Find the Fourier series for the periodic function: if - 1<x<0 f(x) = {2 if 0<x< 1 f(x + 2) = f(x)

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. x…

A: The given differential equation is xdx+y-2xdy=0

Q: 2π What formula would be used to calculate the left rectangle approximation of ² (sin x cos x)dx…

A: Solve the following

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are et cos bt x^{(5-507² +6²) and b…

A: We need to solve D.E.

Q: 8. Use the Direct Comparison Test to determine whether the series converges or diverges. a. b. n=1…

A: To use the direct comparison test to check the convergence of the given series. Direct Comparison…

Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'

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Q: Use linear approximation to approximate cubrt(28)

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Q: 21

A: Please see the below picture for detailed solution.

Q: If f(x)=x²-4, which of the equations below describes the average value of f(x) over the interval [4,…

A: To find the average value of f(x).

Q: Q1) A-Write an equations for the normal lines on the circle tangent at (x= 1) with (r=√10),c(0,0).…

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Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

A: Given that                                  F→ = ∇x2+y2  we can written this asF → =…

Q: How is the series 5 + 8 + 11 + ... +77 represented in summation notation? 25 ΟΣ(3q + 5) q=0 17 ΟΣ(4q…

A: Given Series is  5+8+11+........+77

Q: Find the component form of the indicated vector. Let u = (3, 1), V =(4,-5). Find 2u + 3v. (14-8)…

A: The objective is to find 2u+3v.

Q: Which integral would represent the area shown? The function is f(x) = −(x − 1)³ + 2. 5 4 3- 21 1 2 3…

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Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: Follow the procedure given below.

Q: ?(x) = (x^2)−16 / (x^2)+2x−8 Domain in interval form

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Q: M                   dy/dx - y = e^x y^2

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Q: A particle starts from rest at time t= 0 and moves in a straight line, accelerating as follows: a =…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

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Q: The indicated function y₁(x) is a solution of the associated homogeneous equation. Use the method of…

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Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A: Given that, A boat purchased for $25,000 depreciates exponentially. After one year, the car is…

Q: Prove that if A and B are sets, then A - B = An BC.

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