12 dr Find d0 r (10sec 0) sin 0 히용

Q: (» — у + 3) da — (ӕ — у) dy — 0

A: Exact differential Equation: A differential equation of the form M dx + N dy=0 is said to be exact…

Q: 3 9. dx Jo

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Q: 1. S[3 + tan(4x²)J²xdx

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Q: 10.2 Jo +8 1 + x3 dx

A: Follow the steps.

Q: 4 Cosx

A: Find complementary function and particular integral

Q: sin Z 35 Y Be sure to answer as a fraction in lowest terms 12 37

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Q: 77. Use substitution with u = x² + 4x + 3, = (x +2) dx.

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Q: 7 .TT/2 *3 [¹²³r r cose dr de dz

A: Given: I=∫-17∫0π2∫03rcosθdrdθdz   We know that; The Power Rule: ∫xndx=xn+1n+1+C The common integral:…

Q: 78 7 -1 V7x +3 dx =

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Q: % D = tan x 27 1+ 2n 2 2 -1

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Q: 111 SII xyz dxdydz= 000 а. 3/2 b. 1/2 с. 1/8 d. 3/8

A: To calculate ∫01∫01∫01xyzdxdydz

Q: tan³(9/z) dz z2

A:

Q: t2(sinh 2.75t – 5)

A: (3) Given t2sinh2.75t−5 We have to find the Laplace transform of t2sinh2.75t−5 That is…

Q: Evaluate: £²³₂ £²₁ ₁²[z³(x + y)³] dz dy dx

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Q: 1. Use a trig substitution to evaluate √9-x² 3√3/2 x² -dx.

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Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: Sin zt 2 2 7o47 mous

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Q: dx is using algebraic substitution technique . The only solution to evaluate 3+ A True В False

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Q: 14. Evaluate. dx xvx2-1

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Q: 9. 7 5+ -dx

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Q: 59. y = tan(4x²), x = /T

A: →Slope at any point of y=f(x) is given by ,                               slope(m) =…

Q: sinh(2 In(8)) = (A) 0 1 (B) 64 – 1. (C) 32 + 128 (D) 8 - (E) 32 128

A: answer is given in next step.

Q: Sinh exp 2

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Q: S sin 2t Vcos 2tdt

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Q: 21n|sinh (1/2 »)|+C

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Q: Solve : 7tan³x – 21 tan x = 0 π 2π 4π 5π A B., T, c. D. 0,T, IT, 3'3 3' 3 7π 5π 6. 3 O A Ов O c OD

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Q: 00 -36z2 Evaluate fe dx 12 16

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Q: 6. sinh(2 – 5i)

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Q: | (56- x-x2) dx has its largest Find two numbers a and b with asb such that value. a a = and b =

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Q: S 2sin(4x +9)dx

A: Given query is to find the integral ∫ 2 sin(4x+9)dx.

Q: Enter an exact answer. 2 5 5 dx x4 1 2

A: Integration

Q: Problem 27

A: To integrate

Q: 3 sin y prcos y 2. xdzdxdy

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Q: .2 dx Jo (9 + x²)2

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Q: S abc²x-3 dx

A: Evaluate: ∫abc2x-3 dx

Q: 2. S sin 2xcos5xdx

A: To evaluate:∫sin2xcos5xdx

Q: Use geometry to evaluate (2x + 6) dx. -5

A: We know definite integral   ∫abfxdx represent the algebric sum of the areas between x=a to b and…

Q: æ sin(ry) dy da 7/2

A: To find the double integral First limit is given for y so assume ,x as constant and integrate with…

Q: | (16 – 2*) dz =

A: To find : the value of ∫0216-x4dx   Using the formula ∫abxndx=1n+1bn+1-an+1

Q: 24 dx (144x²+1) Evaluate S- 2

A: Here we have to find the integral.

Q: tan h (03+ 30 4 3 %3D

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Q: 3 y = Vlog2(sin5 x)

A: Given equation is y=log2sin5x3

Q: 377 sincx) -7Y Coscxe 21

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Q: 3 y = Vlog2 (sin5 x)

A: The rational function dydx represents the derivative of the function. Differentiation of the…

Q: 9. Find -dx + C

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Q: 11. S ye-y°dy

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Q: Solue 9 tan oc + 5=o where o SXS.

A: The equation is 9 tan x +5=0 where 0≤x≤2π. Isolate the term tan x on one side of the equation. 9 tan…

Q: Q2: Use trig substitution to find 2 + 4x +5 dx

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Q: Determine d/dx{2e3x cosh(4x) – e7x} in simplest terms.

A: