Consider --e +y?). 3+3² Evaluate dxdy

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Q: dy Which of the following is the general solution of the separable equation, = = 2y - 1? dx in 2y-1|…

A: Solving the problem by finding the differential equation. Here we take C as integral constant.

Q: sinh4x cosh 4x dx can best be evaluated by General Power Formula. A True False

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Q: Find the average value of the function f(x)=e" on the interval (0,4) Da 3725 Ob 490 OC 745 Od 186 25

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Q: Find the absolute extrema of the function on the closed interval. (x) = 7x2 + 1, (-1, 2] minimum (х,…

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Q: Evaluate the limit, if it exists: x²-9 lim *-3 X+ 3 does not exist -6 1

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Q: At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles…

A: Topic:- geometry and application of derivatives

Q: Q3) Evaluate triple integral dz dx dy.

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Q: 8. (5x'-4x +8x) dx

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Remember, even if you enter an answer rounded to a set number of decimal places, if you use that…

A: Law of sines : sin Aa = sin Bb = sin Cc Given  ∠A=38.8°,  a=182.4,  b=248.6

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 9…

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Q: Differentiate D = x2 + sin25x with respect to t and simplify. x2 + sin? 5x dt dt x2 + sin2 5x)1/2 dt…

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Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: From Rogawski ET 2e section 10.3, exercise 10. Use the Integral Test to determine whether the…

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Q: 1 sin? (0)d0 2

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Q: From Rogawski ET 2e section 10.3, exercise 5. Use the Integral Test to determine whether the…

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Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of does the curve has a…

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Q: EValuate J s 2'as O a. 2*(sln2 – 1) (In2)2 O b.2(sln2 - 1) (In2)2 O C. 25 sp.7s (1 – Zu). + 1) In2 O…

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Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0 %3D

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Q: 1/x ,2 xp -0-

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Q: x+y Q3) Evaluate triple integral S dz dx dy. x-y

A: To evaluate the triple integral ∫02∫0y∫x-yx+ydz dx dy.

Q: Question For the function f(x) given below, where x > 0, evaluate lim f(x). X00 f(x) = In(5x² – 5) –…

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Q: 4 r4-y Evaluate triple integral , S S dz dy dx -2

A: We have to evaluate the triple integral  ∫-22∫x24∫04-ydz dy dx.

Q: Consider the parallelepiped with adjacent edges u = 9i + 5j + k v = i+j+ 8k w = i+ 2j + 8k Find the…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x² + 16

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Q: Question r Use the Second Derivative Test to find the location of all local extrema in the interval…

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Q: Find the Maclaurin series for the function. f(x) = 3 sin 2x 00 21 (Type an expression using n and x…

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Q: All edges of a cube are expanding at a rate of 8 centimeters per second. (a) How fast is the surface…

A: All edges of a cube are expanding at a rate of 8 centimeters per second.a To determine how fast is…

Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: The graph of g consists of two straight lines and a semicircle. Use it to evaluate each integral. y…

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Q: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt, evaluate F(1),…

A: Given: Now,          F(1)=∫11tt+1dt=0. Here,               F'(x)=xx+1⇒F'(1)=2 Further,…

Q: 3 5 8x 15 dx 5 x4 |

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Q: Evaluate triple integral , S S dz dy dx. 4-y -2 Jx2 Jo

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Q: Σ (-1)" n=1 3-4n-1

A: topic - geometric series

Q: (-3)"(x – 2)" Vn+2 Consider the power series 1. Use Limit Comparison Test to show that the series…

A: 1.when x=53∑n=0∞ (-3)n(-3)nn+2∑n=0∞ 1n+2can be compared to∑n=0∞ 1nc=limn→∞ anbn=limn→∞ n+2nlimn→∞…

Q: Question Use the second derivative test to find the location of all local extrema in the interval…

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Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: 1 lim X0-x23

A: Given,limx→ 0-1x23We know that,For x approaching 0 from the left, x<0  ⇒   x23<0The…

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Q: Question Approximate the local minimum value of the function given below. Use Newton's method with…

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Q: Consider the integral 5 x (z° +1) dx. In the following, we will evaluate the integral using two…

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Q: Let f be the function defined by ƒ (x) = cos( (/T). (a) Approximate the definite integral| f(x) dx…

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Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

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