Find the absolute extrema of the function f(x)=(x+1)*" in [-2,1], if there is any.

Q: Evaluate: / y6 sech(e7hny) tanh (e 7Iny) dy A) -sech(y?) +C 7

A: We know that    elnx=  x we use above result to determine the integral

Q: Q3) Find the Area bounded by the curves x and x = 2y – y².

A: Topic = Area Area bounded by curves is 13.

Q: Find the area of the part of the sphere x2 + y? + z² = 4z that lies inside the paraboloid z = x2 +…

A:

Q: Find the value of t for which 1 V3x+1 O none of the choices 6 O 3 O 5 O 4

A: Here, given that: ∫1t13x+1dx=43

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: Q3) Evaluate triple integral f, L(x - y?)dz dy dx.

A:

Q: 24. dx AX

A:

Q: g"(x) sin(x- 1) x-1 -4 13 A(x) = kr -8x + 6, -1 10 x>3 8 3 -1 (E) Find all x value(s) on the open…

A:

Q: Q5) Find volume of body bounded by z2 + y2 + x2 = 4.

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a) Find the rate of change…

A:

Q: 3 5 8x 15 dx 5 x4 |

A:

Q: Check the continuity of the function f(x). Explain why f(x) is continuous or not. x+1 =,x x2X > 1

A:

Q: 2. S dx I+,x

A:

Q: Evaluate the following integral using Partial Fractions Method: x³ + x? y = dx х2 + х — 2 -

A: Follow the procedure given below.

Q: Find the absolute extrema of the function on the closed interval. h(s) = [0, 2] S-3 minimum (s, h) =…

A:

Q: cos x sin'x dx can be evaluated by factoring sin'x as (sin?x)²sinx and transform sin?x into 1– cos²x…

A:

Q: Determine a and b so that the function f(x) is continuous for all values of x. jika x <- 2 sin x…

A:

Q: If Ax) = a(x-h)* +k, where a, h, and k are constants, find f"(). 2ax O 2(x-h) O ax+h+k 2a

A: The given function is f(x) =a(x-h)2+k,   where a, h, k are constant. We have to find f''(x) f''(x)…

Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

A:

Q: u+v+w=0ad u =3, v=5, w = 7 then he angle between y and y is 0 2r 6. 0 5m ONone of the choices 11

A:

Q: ) Evaluate the following integral using Partial Fractions Method: y = x3 + x2 dx х2 + х — 2 x – 2 |

A:

Q: Evaluate the following integral using Partial Fractions Method: x3 + x2 dx x2 + x – 2 y :

A:

Q: Suppose A = (a, 0, 2) and B= (6, –2, b), for some a > 0 and b> 0. (a) If projĄB = 12 24 =,0,), find…

A: Suppose A=a, 0, 2 and B=6, -2, b, for some a&gt;0 and b&gt;0.If projAB=125, 0, 245, then to find the…

Q: inside polar functionr = 2 and outside p in third auartor

A: We have to find the area according to the given information

Q: Сорy of The global minimum of f(x) = x - 4x over the interval -2<x<3 occurs at what value of x? O a.…

A:

Q: Use the Trapezoidal rule with step size Ar = 1 to appoximate the integral f(x)dx where a table of…

A:

Q: The graph of a function f is shown below. YA f a Graph b 1. Which grap is an antiderivative of f?

A:

Q: 3. Determine the following a A negative angle in radian measure coterminal to Show calculation steps…

A:

Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: Note Answer One Question Q1 The following data is provided for the velocity of an object as a…

A: Let's find.

Q: 1-y -x. dy at the point (0,1) given the curve dx Find the value of 1+y

A:

Q: Let flx) = S.5 1 dt. o t4 +5 Find the derivative f'(x). none of the choices O e2x O ex

A:

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: 1.) f (x) = 10x10 4.) f (x) = %3D 2.) f(x) = x² – 9 5.) f(x) = 2x² + Vx 3.) f (x) = –x5 – x-3 – - x

A:

Q: applying substitution méthöd: sqns -48

A:

Q: The global maximum of f(x) = x-4x over the interval -2sx<3 occurs at what value of x? O a. X = 3 O…

A:

Q: Cara tosses a pair of equally weighted coins 4000 times, and two heads appear 40 times. What is the…

A:

Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: Find f'(1) if Aæ) = (x² –-x²-x+1)(x² + 1). 1 O 2 O -3

A:

Q: : Se' com (7e')cos (4e")de Evaluate: (A) -cos (3e") –cos (11e*) +C 22 -cos (3e*) + -cos (11e*) +C B…

A:

Q: An object moves with acceleration function a(t) = 5 + 2t – 9t². Its initial velocity is v(0) = 6 m/s…

A: Find out the position after t seconds.

Q: Q3) Find the Area bounded by the curves y? = x and x = 2y – y?.

A: The given curves are; y2=x &amp; x=2y-y2   Now find the point of intersection between the curve y2=x…

Q: Solve for "z" 7x + 3y + 8z = 10 -8x + 1y - 5z = 18 1x - 8y + 2z = 16 Round answer to 2 decimal…

A:

Q: Consider the parametric curve defined by x=3+5t and y=1+3t Over which values of ¡ does the curve has…

A: The given parametric equation is x=3+5t, y=1+3t The curve length is 34 Let the value of t is t1 to…

Q: n(A U B) = 55, n(AN B) = 15, and n(B) = 35 %3D Find the value of x A 15 y

A:

Q: Question 1 Which of the following is the Taylor series expansion of the function 'f (x) =e¬x² with…

A: Given problem:-

Q: : / yº sech(e™mv) tanh (» ) dy 7lny Evaluate: @ -ch(7) + C None

A: Given problem:- ∫ y6 sech(e7ln(y)) tanh(e7ln(y)) dy

Q: Find the value of e which is defined as the angle between j+k and i+j_ None of the choices 4 프2 프3

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx y =

A: Let's find.

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

A: