13 Given: cosa = and a is located in the fourth quadrant; find sin 2e. %3D -8/25 -24/25 -6/25

Q: 39. Find the value of a so that the function f(x)= xe" h = Te has a critical point at x = 3.

A:

Q: Find the radius of convergence of the power series. (If you need to use o or (-1)" x" Σ 2" n = 0

A:

Q: (a) Find the average rate of change of the area of a circle with respect to its radius r asr changes...

A:

Q: 2. Find frxz for f(x, y,z)= z² e³xy

A:

Q: Evaluate the derivative of y = (2x – 1)° (x – 2)° at (1, -1). Use theorems of differentiation.

A:

Q: The formula for cos(a- B) is sin a sin B- cos a cos B cos a cos B + sin a sin B cos a cos B - sin a ...

A:

Q: A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels ...

A: topic - functions and derivatives

Q: Find the exact length of the curve. X = 3 3D 글Vy (y-3), 9sys 25

A:

Q: ASAP PLZ Find the moment of inertia with respect to x-axis of the region in the first quadrant, whi...

A:

Q: Evaluate the integral AP R = [0, 2] x [2, 4] × [-1, 1]. (y + z)2

A: As per the instruction, we will be solving only the first one.     ∫∫∫xy+z2dV=∫-11∫24∫02xy+z2dxdydz=...

Q: c. Evaluate the integral. 4 c3 4. S S(x² + 3xy²)dxdy

A:

Q: *Find the equation/s of the tangent line/s to the curve y = x* - 6x and perpendicular to the line x-...

A: dydx =limh→0  f(x+h)-f(x)hdydx =limh→0   (x+h)4-6(x+h)-x4+6xhdydx =limh→0   x4+4x3h+6x2h2+4xh3+h4-6x...

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (- 1)k+1 k9/8 ...

A: The given series is  ∑k=1∞ (-1)k+1k9/8

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: cos(a

A:

Q: sin &x -& sec x) dx

A:

Q: A ball is thrown downward with a speed of 17 ft/s from the top of a 289-foot-tall building. After t ...

A:

Q: 4. S (sint + cost t ) dt A - cos t + sin t + C C - cos t- sin t + C B cos t+ sin t + C D cos t- sin ...

A: 4. In this question, we need to find the integral.

Q: Consider the following sequence: +00 {a, } = {n – n² },, Use an+1 – a, to show that the given sequen...

A:

Q: Which equation below represents a secant graph with a yertical shift of 3? ay--sec(3(x)) c. y=3 sec(...

A:

Q: 5. V3cotx + 2 = 3

A: Explanation of the answer is as follows

Q: Question 4 A ball is thrown downward wi Jot yet its height above the ground i nswered (a) Determine ...

A:

Q: Ve da 6. Given x=- 1 a = 3x +2x-1 and and y=- find 2 de c-4

A:

Q: 2x5y ' = y(3x4+y2)

A: For the solution follow the next step.

Q: S(cos 3x + sin 7x)² dx

A: Here, when we solve this integration it becomes separate integration of trigonometric term and vario...

Q: 4. J (sin t + cost t) dt A - cos t+ sin t + C - cos t- sin t + C cos t+ sin t + C cos t- sin t + C O...

A:

Q: Evaluate the integral. (In(x))² x3 dx

A:

Q: 4. You will need to use L'Hopitals Rule in this one Sxe-* dx

A: This is a improper integral problem

Q: (x-1) y ' = y +2(x-1)3

A:

Q: a Identify the inproper intergrals an ex plain (briefly) why it is improper () e 5 dX D x-ス ーメー2

A:

Q: S tan-3 (x) sec² x dx

A:

Q: 1. Given the function f(x, y) = x² /ÿ. (a) Find the local linear approximation of f at the point (3,...

A:

Q: 3.18 Find the gradient of the following scalar fields and evaluate the gradient at the specified poi...

A:

Q: rtices of A ABC are A (0, 0), B (6, 0), and C (3, 7). What type of triangle is A ABC? A acute isosce...

A:

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman win...

A: Solution )

Q: tan e is equal to cot e

A:

Q: 7. e*-4e * dx A 2 C. + C 2 + C ex x + - - x +2 e * + C x - 2 e * +C C O E None

A: Here,               We have given an indefinite                             integral now we have to ...

Q: 00 1 dx 2 2 3 X X -9

A: I =∫3∞ 1x2x2-9 dxx = 3 sec tdx =3 sect tant dtx=3 →t =sec-1(0)=0, t=0x=∞→t =sec-1(∞)=π2, t=π2  

Q: Vx3+V4x+8 dx 2 vä ( \x²)

A:

Q: Question Find the derivative of f (x) = log, (5x³ – 3x2 – 6) at the point x = 3. - Enter an exact an...

A:

Q: Finding an Indefinite Integral In Exercises 5-26, find the indefinite integral and check the result ...

A:

Q: Let A- {#, 7, x) and let R be the relation on A given by R (7, 7). (#. #)}. Prove or disprove reflex...

A:

Q: Let U be the universal set such that any set is a subset of U. Let A and B be sets. Usc element argu...

A:

Q: Determine whether the given statement is true or false. {9, 11} C {11, 9} Choose the correct answer ...

A: Statement is false. 

Q: az ) Use Implicit differentiation to find ax and for x2 – y2 +z? – 2z = 4 ду

A:

Q: The position of the particle at time t is given by s(t) – t- 16t + 63. The particle is moving from r...

A:

Q: Xa Xa O A. The statement is false. If lim f(x) = L and lim g(x) = L, then f(a) = g(a) if and only if...

A: In question C option c is true.  In question D option a is true. In question E option a is true     ...

Q: 1. S(Vz5 + Vx ) de с 6 x2/7 +- 2. x5/6 +x³ +C 1 x3 + C 1 7/2 x3 + C х6/5 + - х3 + C + - O A О в O c ...

A:

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A:

Q: aph of f shown below has vertical asymptotes at x= -1 and x=2. Analyze the following limits. OA. lim...

A: Limits