Find the function that passes through the point (1,2) and whose derivative is dy/dx = (2/x^3) - 4

Q: Eliminate the parameter t from the parametric equation x = 3 sint y = 3 cost 0 ≤t≤ 2π.

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Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: A) 0 B) 3 (C) 2 (D) 4 E 5 F) 1 Use polynomial long division to write 2x² + x³ 3x² + 4x-9 x² + x =…

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Q: S 2 x² dx x² 2 -9

A: Given,∫x2x2-9dx

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

A: Since you have posted multiple questions i can do first question in image as per our company…

Q: Which of the following gives the volume of the solid created by revolving a curve f(x) around the y-…

A: There are three methods to find the volume of a solid generated by revolving a curve f(x) about a…

Q: Consider the following integral. dx Given the substitution u = x4 - 4, find du. du = ])dx dx Rewrite…

A: The given integral is: I=∫x3x4-4dx   ...1   As we know that; ∫1ax+bdx=1alnax+b+C And…

Q: 4. (a) Find the general form of the equation of a line through A (2,-2) and B (-2,3). 4. a) (b) Use…

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Q: Q2: The population of a state is known to grow at a rate proportional to the number of people…

A: Given ,  The population of a certain state is known to grow at a rate proportional to the number of…

Q: The output of a factory is changing at the rate of Q' (t) = 2t³ - 3t² + 10t + 3 units per hour,…

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Q: dx 5. ≈ 16 x J dx – x2

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for r 2

A: Please see the the answer below.

Q: Find the general solutions of the system. 200 x' = -5 7 5 x 002 x(t) =

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Q: Use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: y = x² and x² = y

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Q: E) Evaluate the triple integral on the left in each of the following: (a) ff₁dz dx dy = 1 "dz dy dx…

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Q: Find the relation between backwards finite difference and average operator.

A: Given

Q: passes through the point P(3,7,2) and is perpendicular to the plane 3x − 5z – 7 = 0. -

A: The given point is P3,7,2 and the given plane is 3x-5z-7=0.We need to find the vector equation of a…

Q: 10z Sketch the region enclosed by y = 5, y = el, and a = 1. Find the area of the region.

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Q: TOOTOT E) Evaluate the triple integral on the left in each of the following: (a) fffdz dx dy = 1 (b)…

A: Given problem:-

Q: 1. Solve the following differential equations d²y_dy dx² dx — - +2y=x

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Which relation is incorrect: a. i.j = 0 d. j.k=i b. ixj=k e. ii 1 c. ixi=0

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Q: 2 problem: it | b₂ b3 2 LG C₂ Cz 201-2 b b 2 46 40 2 5 - 203 bz 3 403

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Q: 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In; x²+y²

A: To find all the second derivatives for fx, y=3xy2+2xy+x2 ln1x2+y2.

Q: Matrixes: find k by determinant K-3 0 1 A = 1 K-3 0 0 1 K-3

A: We have to find K by determinant.

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In x² x-2 2. g(x) =…

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Q: A Ferris wheel has a radius of 12 m and rotates once every 16 seconds. Suppose a passenger boards…

A: We can use cosine equation to solve the question

Q: J sec x dx Vin (secx + tan x)

A: As per the instruction, we will be answering the first question. For (4),      ∫secxlnsecx+tanxdxLet…

Q: Find the general antiderivative of f (x) = O2 ln ln 2x + C 1 O + C - 2 ln 2x O-In In 2x + C 1 O + C…

A: The function is given by fx = 4xlnx2 To evaluate: The most general antiderivative of the function.

Q: The linear approximation at x = 0 to sin(4x) is A + Bx where A is: and where B is:

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Q: Suppose f(x) = n=0 To determine 0.00000675 [ƒ(2) dz f(x) 6.9 - (x - 7)" 7 S f(x) dx to within…

A: Solution

Q: Q1/ The volume generated by rotating the region bounded by the given curves y = √x + 1 + 2, y = 2x,…

A: Concept: The disk method: The volume of the solid created by rotating the region enclosed by the…

Q: uestion you were to use a substitution of u = cos(x) to evaluate the definite integral below, what…

A: We have to find the integral

Q: -mperature of a northern city from 6 a.m. to 6 p.r 2.3 (in degrees Celsius) and x is the number of…

A: We have to choose the correct option from the given options according to the given information

Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: Numerical Integration: 1 So Fede dx 1. 0 2. 2 (2x² – 3x) dx -

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Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: 5. The Fourier transform of signal e²²¹ u(t-3) is . e-3(2-jw) a) 2-jw b) e-3(2+jw) 2+ jw c) e3(2-jw)…

A: NOTE: As per our guidelines, I have solved one question. If you want the answers of rest, kindly…

Q: 3. Evaluate sin rdx

A: The given integral is: I=∫sin5xdx   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: 1) Given f(x, y) = x derivative of f? which of the following is Əyox the mixed second order par f

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Q: 2- 3- Evaluate the integrals in Exercises [² dx L₁3 3 dx 3x - 2 dy 1- 2. S sec y tan y 2 + secy

A: We can answer all the three questions as below.

Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and calculation we will…

Q: (Q3:- prove the Cose =(A.B/AB Q4:- Find the angle between along diagonal and an adjacent face…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: tid Q3. Evaluate the following integrals 1) cothx.csch2x. dx (50-3x - √x+1+73 44x

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Q: x² + y² Briefly differentiate directional derivatives with suitable graph and equations.

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: Find the two values of k for which y(x) = ex is a solution of the differential equation y'' - 14y' +…

A: Solution is here

Q: The function of given by f(t) = 10e0.07t models the balance in a bank account, in thousands of…

A: Use exponential growth formula for finding the first two .

Q: Find the vector equation of the plane that contains the line = [2,0,5] + t[2,-1,3] and passes…

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Q: problem: Find the vector below. ting the unit normal vector of A = 40 + 7 ₁ 0 - 3 K

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Q: Find all numbers b such that the average value of f(x) = 7 + 8x - 6x² on the interval [0, b] is…

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