x² +3x+2 15) limx-2 xt-16 %3D 32 1 c) 3 d) DNE e)non a) b) 1

Q: 7. x´+ 2 cos x -1 + 20x) : dx (use rules)

A: We have to differentiate

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A:

Q: r 4x² – 21x – 23 dx b) 4x+3 4x +5 c)

A:

Q: = f(2y + 3)²√√y+2 dy

A: To solve the given integral

Q: What is the coefficient of x2y" in (5x- y)°?

A:

Q: Obtain the Selution of diffnential equation Sec Y x2-4x +5

A:

Q: for

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 3 2.)f x³ (4 + x²)² dx ; Use rationalizing substitution

A:

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

A:

Q: C) Worte ex bonent prom into nte exborent from 2x+B. 109= ¢

A: We know that, from the property of logarithm, logab=c⇒ac=b         ⋯⋯1 Also, from the property of…

Q: B) y = 2x2 C) y= 2x D) y2 = 2x

A:

Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: メ Find dy S-3xメ+)X-2) (x211) (2X+3)

A: We have to find the derivative of y

Q: Approximate Vsin²(x) + 3dx using n=4 with each of the following: a) Right endpoints b) Left…

A: Given that f(x)=∫15sin2(x)+3dx with n =4 a) The right  Riemann sum uses the right endpoints of a…

Q: (2x+1)2= 10x - 1 options: A). -5 B). -5/2 C). 3/2 D). 5/2

A:

Q: ジ.キウー。 *り6)e o)。 3-

A:

Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

A:

Q: 20) f In x x√4 lnx-1 dx

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: |(5z* + 3z*) (4x³ + 3x*)° dæ

A:

Q: Prove that a b π √√(x − a) (b − x)dx : = (b-a)² 8

A: To prove that,  ∫abx-ab-x dx=π8b-a2

Q: - A) -16x-5-x-2/3 C) 3 4) Find: d 4 dx x4 5 -4/3 B) ਪ੍ਰੈਲ-5-1582/3 D) - 1 5-2/3 433 3

A:

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: I+1 dr

A:

Q: can you expline this step

A:

Q: 5x 60(x, +x,) 3 b) Y = In 60(x2 . 3,

A: The given differential equation:                                                 Y=ln5x1360(x2+x1)32…

Q: 1. a) y = Differentiate the following and simplify: 2x3. (2x2 - 1 ) 3x²+1.

A: dxdy​=(3x2+1)630x(x3+x+1)(2x3−1)4​Explanation:

Q: 5. c) [(4x³ + -)dx +

A:

Q: If y = ln(x√x² + 1), then A) 1 + X x² +1 B) 1 + dy dx 1 x√x² +1 C) 2x² +1 x√x² +1 D) 2x² +1 x(x² +1)…

A:

Q: 1. Expand the brackets a. X(x+2) b. X2(x+x2) c. 3x(x-y) d. 4x2(2-3x) e. X3(1+2x -x2) f.…

A: We can solve this by properties of power of polynomials xm*xn = xm+n

Q: A) в) (2х)5 . (Зу)5 c) (ба)6 (20)6 y°

A: “Since you have posted multiple questions, we will solve first question for you. To get remaining…

Q: b) y = 2x √x+1

A:

Q: Szdx is 2(1 – x²)7 +c is it: +c_ is it : V1-x a)True b)false

A: Use sin²x+cos²x=1  And integrating the function  We get the required result

Q: If lim (a.) 2 (b.) 4 L(C.) 16 (d.) 64 1+ cx 4, then lim (1+2cx 1-2cx, IS

A: The given limit is: limx→01+cx1-cx1/x=4. To Evaluate: limx→01+2cx1-2cx1/x.

Q: (3x 10x* ) ( x + 4) 201-

A: