Find the derivative. f(x) = e. 3x

Q: Find all the second order partial derivatives of g(x.y) = x°y +5 sin (y) + 4y cos (x).

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Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: 1. Find dy for each of the following: dx 2-x2 a) y= In² 1+x y = Vx+e* c) y = 52r+3

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Q: Find all the second order partial derivatives of g(x.y) =xy +5 sin (y) + 4y cos (x). please solve

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Q: Find the differential dy: y = In(sec² ( 3ª²–20+5 312-2x+5 O (E) None of the choices dy = 2 (x – 1)…

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Q: 42 2.

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Q: Use the theorem of Leibniz in the following problems: If y=x³e2x find y(m) and hence y(3). julm) =…

A: Leibniz rule states that (f(x)⋅g(x))n=∑r=0n Cr nf(n−r)(x)⋅gr(x) Let fx=e2x and gx=x3

Q: -3x+5 if x ≤ 0 Let f(x) = 4x²-3x+1 if x > 0 Determine each of the following and match your answers…

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Q: Dot Products Dot Angle Between The dot product of two vectors is u · v = uqV1+U2V2 Vectors Correct?…

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Q: Q1: Find the Laplace of the following Periodic functions: 1. f(t) = t 0 <t< 2 2. f(t) = ksin(wt) 0…

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Q: (メ+ッ)dx + (x4ッ)dy =0 dx dy x yz x?y

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Q: Simplify the expression In c. * a. d. 3x Iní3x)

A: topic :- simplification

Q: Find the radius of convergence and interval of convergence of the series. (r+8)" R = I = ?v

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Q: Use the power series E(-1yx", IxI < 1 to find a power series for the function, centered at 0. f(x) =…

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Q: A closed rectangular box to contain 16 ft³ is to be made of three kinds of materials. The cost of…

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Q: Use the power series E(-19^x", \xl < 1 n-0 to find a power series for the function, centered at 0.…

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Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Use the Divergence Theorem to evaluate F N dS and find the outward flux of F through the surface of…

A: See is solution

Q: Example 2: Find the Fourier series 1, - 1<x < 0 f(x) = { 1," 0 <x < 1

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Q: xydy – (y 3x2) dx = 0 –

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Q: 2. Differentiate cach function. Simplify as much as possible and express all answers using positive…

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Q: 4. Which of the following is the maximum value or the minimum value of the graph of polynomial…

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Q: Find the area of the region that lies indie the circle r = 3 sin 0 and outside the cardioid r = 1 +…

A: Concept: Cardioid: A cardioid is a geometric figure with a heart configuration. It is the location…

Q: 1.6 PLEASE TYPEWRITTEN FOR UPVOTE. SHOW YOUR COMPLETE SOLUTION

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Q: he function f(x) = xe" has one critical point. Find and classify it. (x) has v at the critical point…

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Q: dy for each of the following: dx 1. Find d) y = eF +x*. g) y = x2-5 1 h) y = log3

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Q: CROSS OUT the graphs that have a greater horizontal magnitude than a vertical magnitude. т Zヒzレ ビビ

A: We have to find the graph that have a greater horizontal magnitude than a vertical magnitude.

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: Given query is to find the function.

Q: 6. What can you conclude when dy is changing dx from positive to negative? A) fis at a local minimum…

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Q: Find the sum of the convergent series. Σ n(n + 2) W

A: First we rewrite the series and then find the sum.

Q: A spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.4 cm/min.…

A: We know volume of a sphere of radius r is, V= (4/3)πr³ Doing implicit differentiation on both sides…

Q: Find dyldx* y= : dy dx x+ xy In(x) y dy dx x + xy In(x) O Option 2 Option 4 dy _ x – xy In(x) dy y…

A: Topic = Derivative As per guidelines , At a time only one question can be answered. please repost…

Q: 2. Let f(x)=x²-5x. Find the difference quotient for f(-2+h)-f(-2) h

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Q: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

A: The rate of change of the population of a certain town is given by R(t) = 50e0.05t, where t is the…

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: Problem 3: Evaluate the integral using the composite Simpson's 1/3 rule with the indicated number of…

A: See this solution in below

Q: The function f(x) = −2x³+3x²+36x has two critical points, c₁ and c₂. Find them and use the second…

A: We need to find and classify critical points.

Q: Let f(z) dz = 8, g(z) dz = –12, g(z) da = 13, Use these values to evaluate the given definite…

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Q: What is the slope of the curve when x = 2 radians? * y = 4 cos(x) + sin(2x) -2.21 -4.94 -3.25 2.21

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Q: Q2:Find the Laplace of the following functions: 2. f(t) = t² sin(4t)

A: See this solution in below

Q: 5. Solve the equation: (D² – 3D + 2) y = 2r² + 1 O y = cje* + c2e²« + 4x + 3x² + x³ O y = cje" +…

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Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.

Q: 5. Solve the equation: (D² – 3D + 2) y = 2x² + 1 O y = cje + cze² + 4x + 3x2 + x O y = cje* + cze2x…

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Q: f(x) = 2x2 +1

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Q: Find the flux of F across S, F N dS where N is the upward unit normal vector to S. F(x, y, z) = 10i…

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Q: of of For the function f(t, æ) = sin (4xt + 9a), find and da of (Type an exact answer in terms of…

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Q: When multiplied out, what are the first 4 terms of (x + 3y)0?

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Q: 2/3' 2/2, Suppose 3z? + 2y² + z² = 1 and z = g(x, y) > 0. Determine g, ) and gy 2/3' 2/2

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Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

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Q: A company producing stereos can produce a stereo for $117 on top of the company's annual fixed cost…

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