Compute the indicated quantity using the following data. 12 sin a = 13 where = < a < T 2 cos B 3 where n < B < 5 2 7 cos 0 = 25 where -2п < ө < 2 (a) sin(a + B) (b) cos(a + B)

Q: Using trig substitution I was able to rewrite the following integral as a new one. 81 + 22 What was…

A:

Q: z – 1 ive of f(z) = Leave your ans %3D z +1

A:

Q: (d) = 9- X-y = 2 at p(3,1), find x-2y dy 19we 1997109 oilt 00d:O dx dy (a) 으= 0 (b) = -1 (c) = 1 (=-…

A:

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A:

Q: Use synthetic division to divide f(x) by x- k for the given value of k. Then express f(x) in the…

A:

Q: Suppose that it is given to you that f'(x) = (x + 4)(6 – æ)(x – 9) Then the first local extremum…

A: We have to find the extremum of the following function.

Q: Lit Pibrithe plane comtrining the porente (1-1:0). (1:0-1) and (0-1-1)- and Pabetheplane usith…

A:

Q: A sample of 250 grams of radioactive substance decays according to the function A(t) = 250 e 035t…

A: This question is based on substitution.

Q: X+0.4Inx 04. lim,+ X+ 3lnx

A:

Q: Question 3 Vx2 + 4dx 2²+4 Vx² + 4+ 2 In + C ava? + 4 +2 ln + C eva? +4 – 2 ln +C -글av고 +4-2n +C «…

A:

Q: dy Find when 2x? + 3x°y – 3y3 = 32. dx dy dx The slope of the tangent line to this curve at the…

A: Take the derivative with respect to x using chain rule of derivative.

Q: sin(h) Evaluate: lim h →0 4h

A: Evaluating the limit with the help of standard limits.

Q: Find dy/dx by implicit differentiation. Væy = 6+ x?y dy/dx

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Evaluate the following indefinite integral. dt t In(t) Note: Don't forget your C! And be sure to use…

A:

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

A:

Q: Г1 2 1 Given A = 2 3 1 4 0 17 x, C =|-2 1 0 and D=[2 1 4]. |-2 0 1 5 В - -2 w 3 4 2 y 3 -2 a (a)…

A:

Q: If 53 + 3f(x) + 2x²(f(x))³ = 0 and f(5) = –1, find f'(5). | f'(5) =

A:

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

A:

Q: The graph of a function f is given. Use the graph to find the value f1 (3). Q 6-

A: For inverse function value of x and y get interchanged   Given f-1(x)=f-1(3) x = 3 , y = ? as  value…

Q: 2) Evaluate the integral and check your answer by differentiating. dx b) Jx"(2-x)° dx

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Circle

A:

Q: 4 Points SKETCHPAD Question 7 Leaving in algebraic form, solve the following system of equations us-…

A: Please refer to the image below

Q: Evaluate the integral: he+1 S ) dt t+1. *Input answer as decimal. Round- off to 2 decimal places.

A:

Q: Determine the area of the given region. 2. Region between f(y) = y' and the y - axis from y = 0 to y…

A:

Q: y"+y'=t ; where y(0)=1 and y'(0)=-2||

A: Here, the given DE is: y''+y'=t Taking Laplace transform on both the side:…

Q: Q3): If x fx + yfy = nf show that x²fxx + 2xyfxy + y² fyy = n(n – 1)f %3D

A:

Q: Consider a triangle ABC like the one below. Suppose that a=65, b=66, and c=25. (The figure is not…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L 8 -Prove that lim…

A: Given a function: fx=8x-7x-1To write down the definition that limx→a fx=LTo prove that limx→5…

Q: 6. Evaluate each expression. a) 16-'x 25 b) (-27)5 c) 160.75

A: Given

Q: A population of 45 foxes in a wildlife preserve quadruples in size every 15 years. The function…

A: We have to calculate  value of y

Q: Evaluate the integral x³ - 3– 2x2 - 4 dx x3 -2x2

A: We have to find integration in this question.

Q: a) Find the triple integral xdV.

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

Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

A:

Q: [[(r + 2y) dA; R= {(r, y) : 0 s r s 3, 1 s ys 4}

A:

Q: 2. xy -(xy? cot Cans ☆ +y?)

A:

Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

Q: Find dy/dx by implicit differentiation. 12Vxy +4xyVxy –y dy/dx %D x – 2x²Vxy

A:

Q: Find the derivative of the function at Po in the direction of A. f(x,y.z) = xy + yz + zx, Po(2, -…

A: The given problem is solved below in detail.

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: Find the area of the reglon bounded by the graphs of the equations. y = 5x +5, x = 0, x = 2, y = 0

A: Required area is…

Q: Consider the function f(x) = 6x² — 4а + 10, 0 < х <9. The absolute maximum of f(x) (on the given…

A: Topic:- function

Q: 2 + In² x dx x(1 – In x)² 2

A: The given integral is: I=∫2+ln2xx1-lnx2dx   ...1   As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1…

Q: 1 çdt (5t + 4)2.7 (27) Evaluate the integral:

A:

Q: Use the law of cosines to determine the length x in each figure. Leave your answers in terms of…

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: A power representation of the function f(x) = for-1 < x <1 is 1-x Select one: 9n 9n 9n O none of…

A: The given function f(x)=11-x9 for -1&lt;x&lt;1

Q: lim - Evaluate the given limits using L'Hôpital's rule/Squeeze theorem: 1 lim X→0+ ех-1, 1 lim x cos…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first question. If you…