Given u(x,t)=(1/t)e^(x^2\4t), compute: uxx

Q: 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 + si...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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Q: a) The function m-x+e*,x=0 f(x)=- 2n, x>0 is x' -16x x<0 x - 4x continuous for all real values of x....

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Q: Question 16 3 In?x + 1 Evaluate x (In3x + In x) 1 In lin³x + In x| + C A +x, B In in?x + 1| + C © 3I...

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Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

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Q: Followings are given for f(x) function and its derivative f' (x) Sf(0) =1 f' (0) =5 |F(2)=3 f' (2) =...

A: The given problem is solved below in detail.

Q: Solve the following Sturm-Liouville problem by finding the positive eigenvalues and its correspondin...

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Q: Question Define R as the region that is bounded by the graph of the function f(x) = + 2, the x-axis,...

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Q: x In(2 + x³) dx

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Q: x²dx S. 1. 4 – : - x²

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Q: Find the nth Maclaurin polynomial for the function. 2x – 5 - f(x) n = 4 %3D X + 1 P(x) = %3D

A: According to question,Given Function,fx = 2x-5x+1n = 4

Q: Use the limit comparison test to determine whether the series converges 8. 7h +5 im The series conve...

A: The given series, ∑k=1∞87k+5  

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P ,Q(5, 6) and...

A: The solution is given in the next step.

Q: Vx+11-4 (b) lim- x- 5 X-5

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Q: Calculate F . dS where F = (4x°z, 4y°z, 3z*) S is the surface of the solid bounded by the hemisphere...

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Q: Use the definition of Taylor series to find the Taylor series (centered at c) for the function. f(x)...

A: We find out the Taylor series of e5x at c=0. Follow 2nd step.

Q: Use the binomial series to find the Maclaurin series for the function. f(x) (1 + x) %3D 3 00 f(x) = ...

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Q: 7х - 18 x2 +1 sin x2 – 3x Find the natural domain for f(x) = + 2x + х — 1

A: Natural domain defined

Q: xp xy6x -x

A: The given integral ∫1x6x-x2dxThe integral formula,117. ∫duu2au-u2=-2au-u2au+C

Q: A vertical wall makes an angle of radian measure źr with the ground. A ladder of length 20 ft is lea...

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Q: 8-2x (f) lim- X-4 x -x-12 Vx² +16 –4 lim- (g) x' +8 lim x-2 x+2 (h)

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Q: Find the real solutions, if any, of the equation. Use the quadratic formula x2 + 7x + 7 = 0 of J-7 -...

A: Given query is to find the solution of the quadratic.

Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is applicab...

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Q: Evaluate the integral. NOTE: Enter the exact answer. cos (2.r) dx = + C

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Q: u+1 Using u-substitution, the integral Jf(x)dx reduces to a new integral glu) du. If glu) = , evalua...

A: Given  g(u) = u+1u and  ∫f(x) dx = x + lnx-1 + C

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x ...

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Q: Question 7 If the solution to Je2x sec²(e2x*1)dx is equal to ktan (e2x+1) + C, find the exact value ...

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Q: • f(x) (x) , evalu:

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Q: Use the binomial series to find the Maclaurin series for the functi 1 f(x) (1 + x)3 |(2-3) f(x) = Yo...

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Q: Find the percentage error in computing u = Vx at x = 2.45, when x is 4

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: 1. Let (r + 2)², if I 0. (a) Give the r coordinate(s) of the possible point(s) of discontinuity of ...

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Q: 2) Find the tangent to the curve y 2 tan at x 1.

A: A detailed solution is given below.

Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

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Q: Question 1: Differentiate the functions. 3 a) f(x) = 1– 5x +x7 b) f(x) = (x³ + 4)²

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Q: (c) The function f(x) is defined in the interval [-1,6] by 3-x, -1<x<2 f(x) ={ x -a, 2<x<b |(x-9)²-4...

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Q: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: Solve the following, glving the solutlons In the form ptqvr 6x +15 Rationalise the demoninator of th...

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Q: What is the horizontal shift? y= 2 tan X-180 +3 O 180 degrees O360 degrees O 45 degrees 540 degrees

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Q: The product of the current ages of Vanessa children is 360. If her oldest child is twice as old as h...

A: Suppose, Vanessa has 2 children, whose ages are 2x, x such that: x &lt; 2x  Given: x•2x = 360  So, x...

Q: dw dw dw In each of the following, find dr' ds and Ət using the Chain Rule. 1. w = xy + yz +xz; x = ...

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Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: Use the limit comparison test to determine whether the series converges 8. 74 +5 The series Save for...

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Q: dx Given: - 06-2x. Using u-substitution and transforming the integrand, find du. A 14e2xdx B 18e-2xd...

A: Given:  ∫dx7-9e-2x To Find: By using u‐substitution and transforming the integrand, to find du.  

Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: The graph shown is f (x) = sin x. If g (x) = / f (t)dt, find g' (7). %3D AY 6.28 -3.14 3.14 6/28 -2 ...

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Q: dy 2. V16 + y²

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Q: [2x – 5] x if 0 3. - Determine if f is continuous or discontinuous at x = 0 and at x = 3. If di con...

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: dx (x² + 9)² 5.

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Q: Direction: Compute the following limits: Given: 1 lim f(x) =5, lim g(x) = -9, lim h(x) = 6 1. lim(5 ...

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