Evaluate the integral. 28) 335 B)- 215 A) 325 D) 36

Q: Find the values of a and b for the curve x*y+ay =b if the point (1,1) is on its graph and the…

A: Given,            The curve is x2y+ay2=b if the point 1,1 is on its graph and the tangent line…

Q: 1 In solving the antiderivative of f(x) = 2 - sin(x) by miscellaneous substitution, the substitution…

A: Here we have to use the subsitution.

Q: Find the absolute maximum and absolute minimum values of the function S(2) = * + r f(x) for 1 < x <…

A: Given problem:-

Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

A:

Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

A:

Q: 2. S tan*, dr 2

A: (2). Given: I=∫tan4r2dr   ....(1)   As we know from the trigonometric identity; sec2x=tan2x+1 The…

Q: S sin®xdx

A: ∫sin6x dx       We have sin2 x=1-cos2x2 Then ∫sin6x dx=∫sin2 x3dx                  =∫1-cos 2x23dx…

Q: Use the following information to complete parts a. and b. below. f(x) = - a = 3 a. Find the first…

A:

Q: 2x +1 J (3r – 1) ( + 2x +2) Evaluate: -dx F (z) = 2 In (|3r - 1|) + In (x² + 2x + 2) – 4 arctan (r+…

A:

Q: The speed of a runner increased steadily during the first three seconds of a race. Her speed at…

A: Here we will find the smaller and larger distance values,

Q: Evaluate: e* cos (7e*)cos (4e*) dx (A sin (3e*) +sin (11e") +c - sin (11e*)+C - sin 6. 22 ® -cos…

A:

Q: 1. S cot 2v dv 2. S tan*- dr 2 3. S (tan tan 5w +cot cot 5w )² dw sec (Inln x* ) dx 4. S 5. S Csc4…

A:

Q: x dy Q33. Solve the differential equation = 3x dx (a) y =+ ce 5 (b) yà = +ce 5 +ce 5 (c) yš = Vx +…

A: To solve the differential equation xy-23dydx+35y53=3x.

Q: x² + 64 Using trigonometric substitution, given -dx, the simplified form of the integral is: x2 sec³…

A: Given: ∫x2+6464dx

Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

A:

Q: S cot®x csc°x dx Gcot'x -cot"x + cot":) + c B none of the choices Gcot"x - cot "x - cot":) + c…

A:

Q: 10x ME 10. 4+ 25x'

A:

Q: 12. Find dy/dx (x – 2)(x + 1) 3 X y = (х — 3)4 -

A:

Q: 25 – x² In -dx , if we let u=/25- x2 , then udu= – xdx. T True F False

A: Follow next step

Q: Describe the surface. x² + z? = 7 O sphere O ellipsoid O hyperboloid O circular cylinder O elliptic…

A: The given surface is: x2+z2=7

Q: 4. Find the area of the region that lies under the graph of f over the given interval. a. f(x) = 2 -…

A:

Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: 9- 4x2 Evaluate: xp-

A:

Q: dy Find given x' +y =8y. dx

A: Given  x3 + y3 = 8xy

Q: If t = x + ex, find d2x/dt2 given dx/dt = 1 / 1+ex.

A: dcdt=0 , where , 'c' is any constant. dexdt=ex .dxdt

Q: dy +Hanx Siny = I Cos y die

A:

Q: R={ (x,y): 0<x, 0<y, x²+y? <9} be enclosed region. The result of the following double integral (by…

A:

Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

A:

Q: If R is the region enclosed by 100 – 4x2 - 4y2 = 0 and 9x2 + 9y2 - 36 = 0, then which of the…

A:

Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: Find the least possible cost of painting the cement block.

A: Please find the solution

Q: 9 – 4x² -da | Evaluate: (A) f (x) = V9 – 4x² + 2 sin () +C B None of the given choices f (x) = /9 –…

A:

Q: Brd Derivative OF y=-Jin3x

A:

Q: Find all points where the function is discontinuous. 5)

A: Given query is to find the value of x where function is discontinuous.

Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: The function f(x)=ex revolved about the x-axis over the interval 0,5

Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

A:

Q: Determine the general cquation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A: We have to find equation of ohm plane

Q: 8:44 C ing e Determine whether the series is convergent or divergent. 00 1 n = 1 The series is a…

A:

Q: 2) a> Determine the value(s) of k such tPhat g'u)= 5if g Cc) (x) x2-2 b) Write the equation of the…

A: In multiple question we are allowed to answer the first question

Q: I need help with this problem. Thank you. Consider the indefinite integral ∫x2(x3+6)3…

A:

Q: After appropriate substitution, the integral expression a* (x2 + 4)? dx can be express as (choose 2…

A:

Q: 1. A business wants to manufacture a huge closed box with a square base a square top and rectangular…

A:

Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: When x Va + 4dx was evaluated, the results can be express as F (x) = - (æ + 4) | (x +4)ª – 7 (x +…

A:

Q: Find the absolute extrema of the function on the closed interval. y = 4 cos x, [0, 27] Step 1 The…

A:

Q: Prove the product rule of differentiation.  That is prove that if p(x)= f(x) g(x), where  f(x) and…

A:

Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

A:

Q: Give the VALUE only. No need to inclu unit. *

A: Given: s=24t+10t2

Q: In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the substitution…

A: Given: fx=12-3sinx ∫fx=∫12-3sinxdx We know that sinx= 2tanx21+tan2x2

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below