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Q: Determine the value of the integral: x² dx. A) 0 B) 234 C) -234 D) 702

A: Solution

Q: Find the area enclosed by one leaf of the rose r= 5 cos (70).

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Q: Se*cos2x dx V.

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Q: Find the value So X (x²+1)= dx

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Q: 4 Cosx

A: Find complementary function and particular integral

Q: Ind the domain of Hex,y) = Ln (xy) aherexy20

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Q: For what value of kik>0, does (4kx-5k) dx =9k Select one: O 4 O 6 O 5 O 1 O 3 O 8

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Q: E valuate:0 =4 j9

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find mLS. 5 R mzs

A: Law of sines If s,r and t are the lengths of the legs of a triangle opposite to the angles S,R and T…

Q: Complete the sum to product formula. cs x + cos y =

A: sum to product formula ,   cos x + cos y = ?

Q: l'm tan2X.cSc 4X メ→0

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Q: cos-(0.8352) 36.8° 33.4° 37.9° 34.6° 35.7°

A: Given :

Q: Find the principal value of (1– V3i)".

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Q: Express cos N as a fraction in simplest terms. L 28 M N 21

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Q: dx Evaluate So x²+4

A: Follow the procedure given below.

Q: Solve: f b. Od In(Ink) dk 2k (Ink) In[In (Ink) - 1] Ink [In (Ink)-1] In(Ink)-1 k In (Ink) - 1

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Q: -2s H(s)

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Q: Exe For Exerc 1. As t each

A: We have to tell what happens to each interior angle when the number of sides increases.

Q: 4 しょx) dn =? Simpliky Thenk you

A: Given integral, ∫14x2+xdx

Q: Solve for L. 2LW V L I

A: Given,

Q: dr Find dt

A: Given that r=s+1   and   s=16t2-20t. Obtain the derivative as follows.

Q: L N M

A: Use tan trigonometric ratio to find MN.

Q: h(x) da (In(x), d

A: ddxhxlnxuse u/v rule:-

Q: Evaluate: (4) S esc" (a) (2x +1) dx C6) Syos y dy

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Q: Choose the connect one (1) L[Jo (at)] = p²+9² مد The

A: Solution 1: Since we know J0(t)=∑r=0∞(-1)r22r(r!)2t2r⇒J0(t)=1-t222+t422·42-t622·42·62+...…

Q: Solye for

A: Given,

Q: 2t 0lcé.cosh 3t)

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Q: (a) tanh(2lnx )

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Q: Find the formula for dz Xx2

A: Given z=fx,y where x=est and y=s2t3 It is asked to find ∂z∂s.

Q: Q3 / The air temperature is 5 C°. Water cools from 100 C° to 75 Co in 5 minutes. Determine the water…

A: Given, the air temperature is 5°C. Water cools from 100°C to 75°C in 5 minutes.

Q: Solve the systom by the addition method.

A: Firstly we add both the equation and the. we find out the value of x and y.

Q: sin xdx is О а. л 4 O b. 3 O d. 6

A: Integration and trigonometric identity.

Q: numerically equal. (A) 1/8t in. (B 1/4T in. 2πin. D T? in.

A: We will find the radius.

Q: EK+L=D-UK Solve for K

A: The given equation is EK+L=D-UK.

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: valuate 2r +c + D.

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Q: 2x-1 ate dx by using substitution m

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Q: is Substitute for +4 X = 2tano and dx= 2 Secodo %3D

A: Given integral is ∫x3x2+4dx Substitute for x=2tanθdx=2sec2θdθ

Q: I cos Z Be sure to answer as a fraction in lowest terms. 12 15 X.

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Q: 2tan-1(x) dx = - In2 2 (b)- In4 (0) + In2 (d); - mn

A: Given:- I=∫012tan-1(x)dx

Q: Find the exact value of x. 22 1 CN

A: The given triangle is a right triangle. Therefore we can use the Pythagoras theorem here. According…

Q: 5. y lnx – x In y = In e 2x

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Q: Solve for x 65° OA X x = 60 degrees O B. X 3.X 70 değrees OCX OCX = 8Q değrees OD X = 90 değrees

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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: 1.15 L t + 4H t %3D -

A:

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: day Find In(2x) y =[cosh cl)]

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Q: the area to the left of z=0.62 is

A: It is given that the z-score is 0.62.

Q: find area to the left of t=2.3 for df= 24

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Q: Express cos J as a fraction in simplest terms. 40 L. K 6.

A: The given triangle is