3 -7 [3] 7 -5 Let E= -2E= 0 Find -2E. 00 8 [000) 000 1000 [00] Undefined

Q: x² - 1 dx 2 2 X²

A: We have to solve above question

Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.

Q: Suppose that z = x³y², where both x and y are changing with time. At a certain instant when x = 2…

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Q: 14 mm 11 mm X h mm 12 mm Part 1: Part 2: Part 3: Part 4: Let ʼn be the height of AWXY. Find the…

A: This question is based on traingle Area.

Q: Find sin 2x, cos 2x, and tan 2x if sin x= sin 2x = cos 2x = = tan 2x 010 X 1 and x terminates in…

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Q: Evaluate the integral of the following using Miscellaneous Substitution

A: We have to find the integral.

Q: Use L’Hospital’s Rule to evaluate the given limit.

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ || ti + ²i|dt = 0

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Q: Write an equation of the form y=a sin bx or y= a cos bx to describe the graph below. 4 3 2 1 4T 2 8π…

A: We know that equation of sine graph , y=Asin(K(x-C))+D. Where A amplitude A=(max-min)/2 A=(10/2) A=5…

Q: d Calculateri(t) r2(t)] and [r₁(t) × r2(t)] first by differentiating the product directly and then…

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Q: 10. Use the definition of limit to show that a. lim (x² + 4x) = 12, Z-2

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Q: 1. fx² In x dx = f x² dx f In x dx (In x − 1) + C Is the solution correct? If your answer is yes,…

A: We have to give reason and then solve the integration .

Q: Consider a triangle ABC like the one below. Suppose that b= 19, a=31, and B= 27°. (The figure is not…

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Q: Identify and sketch the graph of the equation in R³. Identify and sketch the graph of the traces as…

A: An equation is given                         -x+y2+z29=0We will name and sketch the graph of the…

Q: 3. Use Green's Theorem to find the area of the region enclosed by one arch of the cycloid x = t -…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx.

A: This question can be solved using the concept of mid point rule of definite integrals.

Q: If x represents a random variable with mean 125 and standard deviation 20, then the standard…

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Q: Question 9 In MN = In M + ln N Maybe False True None of these

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Q: Question 20 Find the derivative of y = log₂ (x - 2)³ 1/(In2)(x-2) 3/(In2)(x-2) 2/(In3)(x-2)…

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Q: 1- Sinx + Cos2y=0 dy dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Find the length of the curve 3y = 2(x² + 1)2 from x = 0 to x = 3.

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Q: Determine whether the statement is true or false. If C is a smooth curve in the xy-plane and f(x, y)…

A: Given

Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: ∫12v (7+6v2)9 dv Evaluate indefinite anti-differentiation

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: lim (i-8j+² k) 4 lim (r 1-8j+² k) = 1+ 16

A: We have to find the limit

Q: ∫cos(7t) dt Evaluate the following integral using substitution rule or integration by substitution

A: ∫cos(7t)dtSubstitute u=7t→dudt=7→dt=17du

Q: Calculate the first five derivatives of f(x) = sin(x). Then determine f(24) and f(25). (Use symbolic…

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Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: ∫12v (7+6v2)9 dv Evaluate the following integral using substitution rule or integration by…

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Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: 2ydx+x(x² In y-1)dy=0

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

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Q: Find the centroid of the region by inspection and confirm your answer by integrating. (12,12) x = y…

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Q: 2(-3x+1), dx

A: I=∫ 32(-3x+1) 2-3x dx21-3x =t21-3x ln2  ddx(1-3x) dx=dt-3 ln(2) 21-3x dx=dt2-3x dx=dt-6 ln 2

Q: The Bernoulli's form of the differential equation x³ydx +(3x² − y³ )dy = 0 is

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Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = et sin(t), z =…

A: r(t)=etcost i + et sint j + 11et kr'(t)=(etcost-etsint) i+(etsint+etcost) j                + 11et…

Q: 4. Find the absolute extrema for the function f(x)= on the interval -5 ≤x≤0.

A: To find the absolute extrema of the given function in the interval [-5,0].

Q: A farmer uses a lb of fertilizer per acre at a cost of $0.20 per pound, leading to a revenue of R =…

A: Given R=700-400e-(x/100)

Q: Use the graph of g(t) = G'(t) below to answer the following. Make sure to show work and justify your…

A: Area above x axis is positive  are below x axis is negative ∫02 gt dt  = area from 0 to 2=16∫24 gt…

Q: Solve the differential equation in Higher order differential equations (D^2-D-2)y= cosx PLEASE…

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Q: 2 30 مر ول 2 + 6 +

A: In this question we have to solve the Integration.

Q: ∫ sin4x dx

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Q: Evaluate the definite integral. NOTE: Enter the exact answer. 12 5.² 11 |ti + t²j||dt 0 = =

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point (x,…

A: Solution is done in step 2

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

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Q: 3x²y' = x(5-6y) x = 1; y = 2

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

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Q: Find the area of the region enclosed by the inner loop of the limaçon r = 13 + 26 cos 0. [Hint: r ≤…

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