,7x+4 dx = хе

Q: Evaluate the integral below by following the steps given. 1 xp= x2 I || 6/ a.) Show that the substit...

A: Given: I=∫19-x2dx  ...1   As we know from the trigonometric identity: sin2θ+cos2θ=1 And ∫a·fxdx=a·∫f...

Q: dy find dx t - 1 If y = t and æ = t+1 dy A. 2t(t + 1)2 dx В. dy = t(t+1)² dx dy 2t С. dx (t + 1)? dy...

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Q: y(x^2+xy-2y^2)dx+x(3y^2-xy-x^2)dy=0 solve using homogeneous equations

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Q: Determine the area of the region enclosed by x=12y^2−3 and y=x−1

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Q: Given an infinite series, discuss a strategy for deciding what convergence test to use.

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Q: Estimate f′(2) for f(x)=6^x. Be sure your answer is accurate to within 0.1 of the actual value

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Q: x²dx x³+ 4 3.

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Q: » [3] S Te dx > Vex [4] S(x- s(x + !)° dx >

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Q: You want to plant a rectangular garden along one side of a house, with a picket fence on the other t...

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Q: T – 8r – 9 22. Evaluate 4 7² – 8x – 9 *xp: a. cosh -1X – 4 + C. sinh-1t – 4 +C b. 4 cosh -1x - 4 +C ...

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Q: dx 4x x 3.

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Q: Eliminate c, x'y =1+ cx (2+x3y)dx + xdy = 0 B (1+x?y)dx + x³dy = 0 © (1+x?y)dx + x²dy = 0 D (1+x3y)d...

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Q: 1.84 We call pa cluster point of E, provided that for all e > 0 there exists e e E such that 0 0 th...

A: We have to show E has no finite sub cover. 

Q: Since 3 (k + 1)³/3k+1 (1+ ±)* 1 lim k→+∞ lim k→+∞ 3 3 the series (converges/diverges/inconclusive) b...

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Q: A raindrop falls with acceleration 9.8 m/sec² , where "v" is its velocity. What is the raindrop's ve...

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Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: Given a particle is moving in a curve r(t) = cos 7t i + sin 7t j + 6t k. Find the tangential compo...

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Q: The figure below shows contours of g(x, y) on the region R, with 3 < x < 9 and 2 < y < 8. 8 -1 6 1 2...

A: Let's find. 

Q: 26 E(- 1)"2n - %3D n=0

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Q: Evaluate f w?sin(10w)dw using integration by parts W

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Q: ax²ª (x2a+1)°dx

A: Given,           ∫ax2ax2a+13xdx

Q: Let z = 6exv , find dz %3D

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Q: 1. Given f(x)= (a) Show that f'(x)= 2(x² -16) 3x by using the quotient rule. Hence, find all 11 the ...

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Q: Find r(r+ 6)° dx. A 12r²+C B 5x5 + 3x*+ 12x³+C

A: Using integration rules &amp; formulas.

Q: Solve the given initial value problem. 4x'y+ y2 2x4 + 3xy dy y(2) = - 1 dx O xty? + xy = 14 O xty? -...

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Q: 1. Evaluate the following limits. 3x + 10 – 4 (a) lim 1+2- 12 - 4x + 4

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Q: Three curves that describe the motion of a particle along a coordinate axis at time t (in seconds) a...

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Q: (a) If $2000 is invested at 5% interest, find the value of the investment at the end of four years i...

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Q: 18. Determine the antiderivative of f(x) = 3e2"csch(e2"). a. coth(e2") + C 3 coth(e²") + C с. 2 3 3 ...

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Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

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Q: 6x 4. У3 y = х+3

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Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: tio test for absolute convergence to determine whether the series co te

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Q: If x2 + y2 = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated list...

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Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

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Q: So* - y-³) dy 2.

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Q: INTEGRAL Evaluate the following: 8. Se2×dx

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

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Q: 12

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: There is a jump discontinuity at x = 1 and lim f(x) = 1

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Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...

A: We have to find where Left Hand Limit= Right Hand Limit= function value 

Q: For the given p-series, identify p and determine whether the series converges. Ek-615 -6/5 k=1 . The...

A: Find your answer below 

Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown abov...

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Q: Use geometry (not Riemann sums) to compute the integral. dx 3 Enter a pumber

A: The given integral is  ∫12 x3dx