Find the equation of the curve that passes through the point (5,4) if its slope is given by dy/dx=5x−2  y=

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A: Let's find.

Q: sin4x dx V cos4x + 1 COS4X

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Consider the following lines: 4:z=1,y-1=-4,2=1-3t :z=2s+1,y=1-3s,z=1 y+1 z-1 2a Find the…

A: Explanation of the answer is as follows

Q: 1 | zdnlzdz converges and I (In(x))" a positive number. Determine the values of p for which s of n…

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Q: Find the flux of the vector field F(x, y, z) = (yz, y°, xz) %3D across the surface S, where S is the…

A: Given

Q: ors in 2-space that make an angle of 45° with answers in terms of i,j and k.

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(5,…

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Q: 14.w.3 Find Ihe arcan region for he fllowwiy Regian honded.by.y= X- y=D and S= 2

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the total differential of  w=x3yz+xy+z+3

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: at is wrong with the following equatlon: 8 + (6/2) = 17 -5 %3D A The symbology is not standard so…

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Q: (-1)"(n + 2) 2n+1(n + 1) 4. Compute the exact value of n=0

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 10г — 5у — 52 — 36 — 0. NOTE:…

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Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

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Q: Does the following series converge absolutely, converge conditionally, or diverge? (-1)" Σ 3/2 +4…

A: The given series is ∑n=1∞-1n7n32+4. Note that, The series ∑n=1∞an is said to converge absolutely if…

Q: 2. If f(x)=x² – 5x find, a. f(y? + 1) b. f(z+1)-f(z-1)

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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Q: Find the area of the triangle with vertices P(1, 3, –6), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: Find the point where the function f(x,y, z) = x + 2y + 3z subject to the I takes on its minimum…

A: The given function is f(x,y,z)=x+2y+3z.

Q: find the total derivative of z = f(x,y) = 2x+xy-y2 where x=g(y)=3y2

A: Given function: z=2x+xy-y2 where x=3y2 Putting the value of x in z , we get…

Q: Recall that the Fibonacci sequence {xn} is defined by 1, x1 = 1, xn+2 = xn + xn+1, for all n > 0.…

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Q: Find the gradient of the function at the given point. g(x, y) = 11xe/x, (4,0) Vg(4, 0) =

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Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: For the function f (x) = 2x³ – 4x + 1 (a) Construct the divided difference table for the points…

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Q: Problem 4 A firm's profit is determined by subtracting its revenues from the cost of production.…

A: Given problem:- A firm's profit is determined by subtracting its revenues from the cost of…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, Р(3,…

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Q: Part I x² -9 1. lim х>з х-3

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Q: "0. Mixture Problem A biologist has two brine solutions, one containing 5% salt and another…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: In how many ways can 2 letters be chosen from the set (A, B, C, D, E, F} if order is important and…

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Q: 2. Determine whether each of the following series is Convergent or Divergent by using the Direct…

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Q: solve the following differential equation

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Q: Find a formula for the nth partial sum of the series and use it to find the series' sum. 9. +... +(-…

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Q: 1 Find a power series representation of a (1– x)2 * | +00 1 %3D 2 3 + 22 ' 23 b Find the sum of the…

A: The used series here is: 11-x=1+x+x2+x3+...             ...(1), -1<x<1

Q: Either prove the following statement is true or provide an example to illustrate it is not true: if…

A: This question can be solved using the concept of even function.

Q: 4 3 1 10 15 20 25 30 35 time (sec) feet velocity (ft/sec)

A: At t=0, velocity is 1 ft/sec. At t=25, velocity is 3 ft/sec. Required distance =Final velocity -…

Q: Suppose that P = (x, y) has polar coordinates (r, = ). Find the polar coordinates for the following…

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Q: In polar form, the integral (a + y°) dy dæ 9-22 reads 2T 73/2 dr d0 r°dr do ?dr de 0. O None of…

A: To convert cartesian co-ordinates (x,y) into polar co-ordinates (r,θ) we use the following…

Q: Evaluate the indefinite integral as an infinite series. 1 13. COS X dx x2

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Q: 2 x+1 dx J-1

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Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 18 ft and…

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Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

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Q: [3 -1 [o -1 2] |4 11 2 Given A = and B=|1 2 |6 1 (a) Find the eigenvalue(s) of BA. (b) On the basis…

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Q: Find the derivative: y = (3x² – 2x) Væ5 – 2x + 2 27 –14a5 –30z² +36x –8 2y5 -2x+2 dy %3D dæ 27+15* –…

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Q: time (sec) velocity (ft/sec) 11 1 19 2 20 3 12 4 3 1 8 feet

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Q: 1 dx 5х e

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: 4x + 5 S(x) = 9- 3x A. x = 0 B. x = 3

A: To determine whether the given function is continuous and differentiable at the given points or not.