d²y and dx2 Find dy then simplify whenever possible. dx 1) y = 3t5 – 2t x = 4t3

Q: cos (x) tan (x) dæ

A: I have stated the used formulas in the solution

Q: 1 y dydx %3D 0. Select one: O True O False 2.

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Q: Find the general (real-valued) solution of the following differential equations. If an initial…

A: Here, the given DE is: (3x-2y)+(y-2x)y'=0...(1) And, the initial condition is not given. So, the…

Q: Direction: Find the integral of the following functions: 1. S(5 cos x + 7 sin x) dx 2. S(3tan2…

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Q: Please use definite integral in solving for the area. a. y = Vĩ and y = x3

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Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 < t < 4. (Use…

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Q: 3 2 3. Vxydydx = Vxdx Vydy Select one: O True O False

A: We will evaluate the Integral of left hand side and right hand side then we will compare them .

Q: Find the uv - ∫ vdu form of  ∫ √x ln(2x) dx

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Q: Using Integration By Parts ∫ x^3 √(x^2+4) dx find uv - ∫ v du

A: To give a representation for integration by parts.

Q: Amplitude: 9. y = sin (x -) + 1 Period: 3n Phase Shift:

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5x How many quadratic and repeated factors are in the denominator of J 3+ y2 + Y+4

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Q: Svain2x dx =uv- fvdu - Svau. x/x In 2x- Vx dx v- Svau- Using Integration By Parts, Find uv- Jv du O…

A: Find your answer below

Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: 2x How many times will you use integration by parts in solving- cos²(2x) once O twice O thrice no…

A: Here, the given integral is: I=∫2xcos2(2x)dx=2∫x sec2(2x) dx

Q: Moha Q1: Use Green's theorem to evalute f. (xy + y2)dx + x²dy by the curve y x and %3D y = x2.

A: The objective of the question is evaluate the given integral.

Q: Use the following theorem to evaluate the integral le - 4|dx. Theorem: Iff is integrable on a closed…

A: Given:     ∫-22ex-4dx Eliminate absolutes      =∫-22ln2-ex+4dx+∫2ln22ex-4dx…

Q: 6. A bax with a square base is to have an open top. If the lateral surface of the bax is 100 cm",…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: 2x2 1) Given: f(x)= 48(3x +16) f"(x)=- (² –16) -8 -48x s'(x)=: (x² -16) x-16 a) Determine any…

A: Given: f(x)=2x2-8x2-16f'(x)=-48xx2-162f''(x)=483x2+16x2-163

Q: The curves described by the following polar equations intersect at which value of the angle theta?…

A: We will put these polar equations equal and solve for the angle.

Q: 5. Let ƒ be a function satisfying the following properties: lim f(r) = 2 continuous on R \ {0} •…

A: a. Here, we have  limx→0-fx=-∞, which means the function has a vertical asymptote x=0; limx→+∞fx=0…

Q: 15x2 — х3 — 43х - 19 The integral J (x + 1)²(x² – 6x + 13) can be rewritten as Ах + B C D + + bx + c…

A: Given problem:-

Q: ta the téduction of order melhod, the substitution y= 5u can be used for the DE: - 3y/= 0, to obtain…

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Q: evaluate

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Q: Find the point on the line y = 5x + 2 that is closest to the origin. (x, y) = Need Help? Read It…

A: Let's find.

Q: If you are going to evaluate the x²+16 using trigonometric substitution, the answer is =-csc*Ø + C,…

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Q: For what values of a and b is the following function continuous at every x? - 10 XS-3 f(x) = < ax-b…

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Q: 9-x2 dx. Use trigonometric substitution. x2

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Q: Find a and b in Va+4x-5 dx = x+2

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Q: The Characteristic impedance is R+jwL V G+jwC Z. 6.74x10°+j22.1056 0.29x 10 6+j6.28x8.7x10

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Q: Estimate the value of x,y and z of the linear equation below using Gauss Elimination method. -4x +…

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Q: sec(0) Compute the area A bounded by the line r = 7 e and the rays 0 = 0, and 0 = 4 as an integral…

A: Here, the formula used is: A=12∫abr2dθ

Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

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Q: 10) For y=v+8, use the differential dy to approximate Ay when x changes from r=1 to x=0,97

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Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the…

A: Given: y=8x, 16,32

Q: Find the general solution of ydy/dx =2/(3x2). O a. y?/2 =-2x/3+ C O b. y/2=-2/3x + C O c. y?/2 =…

A: 1. ydydx=23x22. The slope of the curve is 2x+1, passes through the point -3,0

Q: 4. Calculate leme/) at (z,y) = (a, 4). sin(z/g) ey2/2 A ev2/2 B 4

A: Here we have to calculate ∂∂xesin(x/y)=? at (x,y)=(π,4)

Q: d d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating dt dt the product directly…

A: Here we use the concept of dot product and cross product of vectors

Q: Sketch and use a double integral to find the area of the region R bounded by the lines: y = 0, y = x…

A: Graph of the given fucntions

Q: (6) When David was born, his grandparents deposited $10,000 in a college account that promised 6%…

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,   f(x)=1x+ln x, 0.6≤x≤5

Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: The result of dx IS F(b) – F(a), where Fla) and F(b) are real numbers. What is the value of F(b)?…

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Q: 12-11= Sin(z)

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Q: y- cos(e) ]cix + dy = 0|

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Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: 2х — 1 - dx 6х + 18 x² -

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Q: x² – 1 lim x→1 /x – 1

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Q: lim -1 x→0+

A: Separate the limit.

Q: 2. |=xp(x)JLOS Then find the value of the integral: pune f(0)=| Sketch, on a sheet of work paper, an…

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