Practice : PProve I + cos*O %3D

Q: Make a trigonometric substitution to evaluate / x V25 – x² dx

A: Formulae used: 1-sin2x=cosx ddxsinx=cosx ddxsin2x=2sinxcosx

Q: Find the numerical value of each expression. (a) sech(0) (b) cosh-(1)

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Q: 9) cos -30 2

A: cos(-3θ)=22

Q: 5. dy + ye*dx = e*dx %3D

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Q: 7.fe*co cot(e*) csc²(e*) dx

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Q: Evaluate 2 [²4x² - 4x³ - 2x + cos(x) dx. Note: If the answer is not an integer, round your answer to…

A: We need to evaluate the value of the following integral ∫024x3-2x+cosxdx

Q: tan25x dx 4sin25x-4

A: Simplify the integral ∫tan125x dx4sin25x-4 using the trigonometric formulas (1-sin2x)=cos2x and…

Q: ecimals is fin

A: Here we have to find the approximation of    With n=4 subintervals.

Q: If P(0) = what is the value of csc 0+ sec 0? %3D

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Q: Si dydzdx -1-x

A: In this question we have to solve triple Integral.

Q: Evaluate dx without using a trigonometric substitution. 9+x2

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Q: e tan (e") dx Vsec2 (eª) – 7

A: Use substitutions method for finding the integral.

Q: (4x +4K H0)?

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Q: II a.5 cos? =D5

A: You asked multiple questions but as per guideline I can do only one question. Please repost the…

Q: 5dz 1. (:+4)VE+1

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Q: Use a cofunction to write an expression equal to sec 2n JT sec Osino OcosO OcotO Oseco OcscO ?

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Q: Which of the following is equal to / (2° – 72)*dx = ,

A: follow next step

Q: dx a. xV1+ In²x

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Q: Evaluate dA where D=2ay|1exy?sd, Arctan

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Q: Did you write   y=cos(3x)   ?

A: Solve the following

Q: e sin CInx) dx Ne

A: To evaluate: ∫ee sin−1⁡(ln⁡x)xdx Let, I=∫ee sin−1⁡(ln⁡x)xdx Let, lnx =t ⇒1xdx=dt at x=e,…

Q: To prove

A: Since there is some typing error in the given question. The answer of the integral is equal to π/2.…

Q: .3. cot°x csc*x dx

A: Find your answer below

Q: 4)L(1 + 1)° cos t)

A: The solution is given as

Q: 8) cos C 50 14 48

A: According to basic of trigonometry;   Cos(c) = BC/AC             = 48/50 = 24/25

Q: Find (an(cosx)) xp

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Q: e tan (e*) dx Vsec2 (e*) – 7

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Q: Differentiate O y = arctan √3x

A: In this question we have to find the differentiation of y.

Q: Use this rule to differentiate xP. d P = (Type an exact answer.) dx

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Q: y = 2 cos(20 + 90°) – 2

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Q: |cos'xsinxdx 2.

A: Solve :∫cos3x sinxdx

Q: xp Us cos s x

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Q: -1+3 cos 0 = 3V3 - 1

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Q: What is the missing value?

A: We have to find missing value. We know that, ddxcsc-1x=-1xx2-1 Chain rule of differentiation states…

Q: The value of cosxdx is а. —1 b. 2 с. О d. 1 e. None

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Q: Evaluate. (Be sure to check by differentiating!) et dx 30. 4 + e*

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Q: Find the value of x. 40. Arca of the rectangle 28 %3D X+3

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Q: Differentiate y = cos³x³ ,33

A: We will diff. It by using chain rule.

Q: y = sinh? 5x %3D

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Q: -3D 3I5

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Q: Find the area enclosed by one leaf of the 4-leafed rose r = cos (20).

A: Given r = cos (2θ)

Q: Find the solutio 5) y" – ky' = 0

A: Given differential equation is: y''-ky'=0 Then we get, y''=ky'⇒d2ydx2=kdydx Integrating both sides…

Q: -1 sec V3

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Q: -3 3 sec? 6. dx du =. answer:

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Q: Find the area enclosed by one leaf of the rose r= 8 cos (50).

A: Given: r=8 cos 5θ To find: The area enclosed by one leaf.

Q: which is equal of the following tofv? cos(v®) dv? 2

A: Given: ∫01v2cosv3dv

Q: dx - = ? b+c.cosax b? < c?

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Q: COS (ㅛ퓨 + 40T)80

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Q: Evaluate 18z dz dy dx. Enter your answer as a numerical value in decimal form.

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Q: I need to find tan B?

A: given,