32 (c) Show that Hence, find the interval for x that satisfies the inequality = 22* 2 x 4" 32" - 12(2')+ 32 z 0. 2 x4"

Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: (cos x2) dx. Use integration by parts. 1.

A:

Q: In7 Change the Cartesian integral dx dy into an equivalent polar integral. Then evaluate the polar…

A: Put x=rcosthetha and y=rsinthetha

Q: /x²+4x – 5 dx Using trigonometric substitution, ƒ (8) dô. x+2 Find the new limits of integration.…

A: Given:        ∫14x2+4x-5x+2dx=∫abfθ dθ         =∫14x+22-9x+2 dx      Apply u-substitution.…

Q: ntegrate 36(6 5) dr 3. Answer

A: Topic:- integration

Q: Evaluate the integral 34 dr, by making the appropriate substitution: u = 5) da- 34 NOTE: Your answer…

A:

Q: Find the first partial derivatives of the function. x5 - y5 x° + y f(x, у)

A:

Q: Using Integration By Parts, x3 x2 +4 dx = uv- - Sv du

A:

Q: sin dx 32 cosS 35 4 Ssin +2 +c cos () • 32 cos + C 32 -cos 32 cos + C 7 4 32 cos 35 즐)-Scos()+기+C

A:

Q: Compute the given integral. Jac dx +C

A: Solve the integration

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: dy dx? Find in terms of x and y. x°-y° = -3

A:

Q: 3. Evaluate the lim(2x – 7). x-4 а. lim(2x — 7) %3D 2 x-4 b. lim(2x – 7) = 1 с. lim(2x - 7) %3D7 x-4…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: dx 4 sin e+C express the answer in terms of x. 3 Using Trigonometric Substitution (x² + x + 1) 2 4/3…

A: Given problem:-

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

A:

Q: dx , find f(0) · Using Trigonometric Substitution 3 (x²+ x + 1) 2

A:

Q: 1 1) Investigate lim h→0 cos h numerically (and graphically if you have a graphing utility). Then…

A:

Q: Using Integration By Parts, x Arcsec 3x dx = u v- |v du

A:

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

A:

Q: Using Integration By Parts, x3 / x² + 4 dx = u v - v- Svau-

A:

Q: Find the velocity and acceleration vectors in terms of u, and ue. d0 T= a sin 60 and = 5t, where a…

A:

Q: 2. 2Сy — У(х-1) dx

A:

Q: 2x-1 11. y = 5x+2 12. y=(5x² + 2x + 1 )3 13. y = V2x + 6 /14. y = 15. x = 2x + 3, what is dy/dx? =…

A:

Q: Learning activity: Plot the points (x,y) and draw a smooth curve defined by the parametric equation:…

A:

Q: dx consider Using trigonometric substitution, find u ar (x²+x+1)½ (A) u=x+1, a=- (B u=x+1, a=1 C)…

A: Topic:- application of integration

Q: 9. Evaluate limf(x) = {"_ (x – 2; x 3 %3D x-3 а. 1 b. -4 с. 3 d. Does not exist 10. Evaluate limf…

A: Our Aim is to evaluate the limit of the expression given below:-limx→3 f(x)=x-2 ; x≤3-4;…

Q: x² + x +2 Evaluate x2 - 1 x+1 +C (x- 1)2 (x- 1)2 In- + C x+1 x+1 X+ In- +C (x-1)2 (x- 1)2 x + In- X…

A: Given problem:-

Q: If i x w = i- j+ k, and i · w = 4, and 0 is the angle between i and w, 2 - (a) tan 0 = (b) 0 =

A:

Q: Evaluate the definite integral. esin (a) cos(x) d x

A:

Q: 3. Find the area bounded by the given curves. Rubrics: Curve accurately drawn with intercepts…

A:

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the y y = 5 x-x…

A:

Q: Find the area of this parallelogram. Be sure to include the correct unit in your answer. cm 8 cm 10…

A:

Q: Sketch and determine the opening, vertex and focus of the parabola with an equation of y? - 8x + 16…

A:

Q: Sketch and determine the center, foci and vertices of th equation of x2 (y-4)2 + 36 = 1. 49

A:

Q: За — 1 (x – 2)(x + 5)

A:

Q: x2-y는 군.Give the spherical coordingtes.

A:

Q: Using Integration By Parts. x3 x2 +4 dx =uv- v- Svau- -Svdu. Find uv- 3 글x리 (x2 + 4)Z-/글x(x2+ 4)2 dx…

A:

Q: Compute the following values for the given function. f(x, y) = 8xye(x2 + y2) f(0, 0) f(0, 1) f(1, 1)…

A:

Q: Using Integration By Parts,x: x dx = u v– Jv du X sec Svou -tanx - Jsec Find Ex tan 5 2 1. X sec x…

A: The given Integral is: ∫x sec 12x tan 12xdx

Q: x² xp a) Integration Process b) Antiderivative c) Substitution of limits d) Computod Analycis of…

A:

Q: Consider the indefinite integral (22 da: (z – 2)* 3)2 This can be transformed into a basic integral…

A:

Q: Which of the points below correctly plots the point (3, 4)?

A:

Q: Use differentials to approximate the value of (3.01)2 + 2(0.99) – 3 in four decimal places.

A:

Q: Evaluate the integral [cot5 x csc x dx O 1 1 늑csc? x-cscs x + 하sc3x + C 2 X + x + C 2 esc x + 1 csc?…

A:

Q: sNinzx dx=uv- Jvdu -Svau: Using Integration By Parts, Find u v- Sv du 2 XyX In 2x-| 들 Vx dx 2 XVx In…

A:

Q: 5x dx? x3 + x2 +4x+4 How many quadratic and distinct factors are in the denominator of

A:

Q: I'm having a hard time with 8 I just don't understand

A:

Q: Find dy/dx by implicit differentiation. xe - 18x + 4y = 0 %3D dy %3D xp

A: Given:   To determine: dy/dx using implicit differentiation.

Q: ху x+

A:

Q: Cos dx 32 osSsin) +2+c (주)-5cos주)+ 기+ C 35 32 -cos 35 32 cos 7 (2)- 32 cos(수)+C +C 4 Cos COS

A: