+e XP Tan 2x [ 2

Q: Find exp(A) where [1 A = 2 1 2.

A: According to the guidelines I can solve the first problem. For the second problem you have to post…

Q: . What is the coefficient of a" in (2 – x)"?

A:

Q: う when as1; サ=2 3x 会。 dy

A:

Q: Let α(x) = ex2 . Verify the identity (α(x)y)' = α(x)(y' + 2xy) and explain how it is used to find…

A:

Q: Choose non-zero values for a and b (a > 1, b > 1) that satisfy 12 · x = 12.

A:

Q: Differentiate. b) p=(1+4g*) tan 3 -(2g*)

A: Given,           p=1+4q43tan-12q2

Q: True or false? As x→∞, x = O(2x)

A:

Q: Provethat f fear dz- F(2) d2 Saro if ce+Cathen

A:

Q: dx Evaluate 2 xV x2 - 4 4 O O

A:

Q: Cos2 10x d 8.

A: The integral is given by,

Q: If f(x) = 5x + In(x – 2), find f15) A. OIn 13 В. C. O5 D. IC

A: Given function is f(x)=5x+ln(x-2) Let f-1(15)=a. Then f(a)=15 Now just check all the options one by…

Q: If R'(x)=250-18x and R(0)=0, find R(x)

A:

Q: 4x. 2x 4xy + 6x is equal to Зу O True O False

A: Take the LCM of denominators

Q: adra a. EX XXX + 3) c. 2(X + 3) -2 0. -3

A:

Q: Evaluate sin²(7#6 + 2e'®) de. 2n Jo

A:

Q: R(x) = [x*(x2 + 6x)]º R'(x) =

A:

Q: tan (2xy²) = 2sinh "(9)

A:

Q: O{x € R\x² +1 = 0 Ofxezlx² = 9}

A: Set theory: x∈R|x2+1=0x2+1=0x=±iWhich is not in real number.So this set is empty set.

Q: ind value r(x + 2)

A:

Q: Fied da のーーnfx+(2x +1 tar JE XーVEx+! 1-X

A:

Q: 175 25. R'(x) = 20 1+ 3e7x (0 < x < 310) %3| -

A: Solution:-

Q: 10x? .2 +11гу + у? lim (л,у) —(-1,10) 10а2 — 39ху — 4y2

A:

Q: Q2/ Find tan 3x 813+9

A: ∫tan-13x81x2+9dx=154tan-13x2+C Where C be the integral constant.

Q: x" – x" + 4x' - 4x = 20Cos(21) x(t) = ? =>

A:

Q: Solve for x using sci notation (2x)(2x) / (0.2) = 1.4 x 10^-5

A: In scientific notation, numbers like 0.0000053 will be written as 5.3x10-6

Q: .2 x'Vx + 1dx

A:

Q: A9. A sec?xdx: (b) 0 (c) -1 (4)

A: 10)  x=tanyDifferentiating with respect to x on both…

Q: Solve the ODE: x^2y''+3y'=0

A: To solve the below ODE Let u = y' then u' = y''. Substitute it above, it reduces the above second…

Q: x*y" – 4xy' +6y = -75x* sen x

A:

Q: A If y = sech' (k xN) and (1 - 324 x²6 ) (y')² = .2 x Then k =. . Answer:

A: We have to find k.

Q: 7. Simplify the expression Vx2 + 16 using the substitution x = 4 tan 0. Assume 0° < 0 < 90°.

A:

Q: Is y= X^~2 an expon

A: Given; y=x2.

Q: (a) If j² = -1, simplify

A: (a) if j2=-1, then      (i) j6=

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: (22 -2) S +5x2+4) tan Evaluate da a2+2

A:

Q: Q2\ Evaluate : fot√x dx

A: The given integral is ∫cot2xxdx use the identity  cosec2x-cot2x=1 cosec2x-1=cot2x therefore the…

Q: 2tanß 1-tan²B

A:

Q: Interpret the yate of change of (3n +5) (4u+2) (2x+3) y = with respect to

A: In the question we have to find the rate of change of y with respect to x.

Q: Write a formula for ( ogoh) where r-2 f(x) = 3x - 4, g(x) h(x) = Vx - 2 x+1

A:

Q: For what x is x(2x+3) positive?

A: For f(x)=x(ax+b). (1) f(x) is positive: ⇒x(ax+b)&gt;0⇒x&gt;0 and ax+b&gt;0 OR x&lt;0 and…

Q: 2 – 0.275 x 10²/0.987 × 10-2 = 0.279 × 104 %3D T O F

A:

Q: (D² + 4) y = tan 2x

A: Dear students, you have asked multiple question. As per our policy your first question will be…

Q: If f(x) = 5x, then f'(2) = %3D %3D O 15x? O 40 O 30 O 60

A: We want to find the value of the derivative of the given function at x=2. The given function is…

Q: 188. [T] f(x) = secx, x = 4

A:

Q: x is equal to -3y. O True O False

A: Given:  Let S be the product which is given to find S=-2xyx2×3xy2

Q: MR=150-12 x^1/3 R(x)?

A: R(x)=total revenue We have to calculate total revenue MR=ddxTR∫MR dx=TR where x represents…

Q: 2 4<3 tan( 37x)

A: Solve 2tan37x-4&lt;3

Q: Evaluate O A. O B. O C. O D. π 3 1.3863 -2.9345 -3.6276 -2.2413 2xsec² x dx.

A:

Q: 48. f(x) = x² – 2, rs 0

A:

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.