[y sxy dy is equal to -y cony - J cony A (B у сoly - coty dy Scory dy C у coly + -y coty + J coty D coty dy (E None

Q: L3x²dx = 65

A:

Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

A: see below the answer and explanation

Q: Total cost from marginal cost. Shelly's Roadside Fruit has found that the marginal cost of producing…

A:

Q: Ty csc?y dy is equal to A —у сoty — coty dy - Scon dy у сoty coty dy с) -у соfу+ coty dy D) None E у…

A: Integrate by parts.

Q: 8n 4n2 n = 1 + 1 f(x) = converges O diverges

A: Given query is to find integral converges or diverges.

Q: So 3a (a + 4) dx = 5120 Select one: O True O False

A:

Q: Use the Fundamental Theorem of Calculus to evaluate the following definite integral. | (4x2 + 9) dx…

A: To find the value of definite integral using  fundamental theorem of calculus.

Q: Evaluate the line integral -ydx+ xdy along the curve C :y = 12x from (12, 12) to (0,0). NOTE: Enter…

A: In this question , we can find the given line integral.

Q: 00 (n+7)! Does the series converge or diverge? 7!n!7" n= 1 Choose the correct answer below. O A. The…

A:

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 2 + 2)3/2, 1s ys…

A: The curve x=13y2+232 revolved about x-axis on 1≤y≤4

Q: Calculate the arc length of y = 3x + 3 over the interval [0, 3]. (Use symbolic notation and…

A:

Q: Find the radius of cunvergen le and the interva) of convergence Of the Dower series n3n

A: Use the ratio test for checking the convergence .

Q: Ise the function f and the given real number a to find (f-)'(a). (Hint: See Example 5. If an answer…

A: We have to find out the derivative

Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: (D5 -D* – 2D³ +18D² –31D+15)y =0

A:

Q: Find the area of the enclosed region bounded by the graphs of y=e^x, y=x, the y-axis and the line…

A: Here we have to find the area of the enclosed region bounded by the graphs of y=ex,y=x,the y-axis…

Q: Consider the parametric equations x = 4 cos(0) and y = 2 sin(0). (a) Create a table of x- and…

A: We know that   cos(-θ)=cosθ  and   sin(-θ)=-sinθ

Q: 5y'' + y = 0 y(x) =

A: Consider the differential equation  5y''+y=0

Q: es conve n=1

A:

Q: The most conveneient way to evaluate xx2-4 by substitution is to let x2- A True B) False

A: We have to find out

Q: Find div F and curl F if F(x, y, z) = x'i – 3j + yzk. div F= curl F=

A:

Q: Describe the graph of the equation. r = 3 cos t i – 18 sin tj+ k O An ellipse in the plane z = 1,…

A:

Q: So 32 (2 + 4)° da = 5120 Select one: O True O False sin4xdx = 4 7/12 %3D Select one: O True O False…

A:

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: Evaluate: /x*V1-x*dx A None 3 글(1-x4) 2 +C В 3 -(1-*) C 3 (D (1-x+) +c - C 3 E 6. o+z (p*-1)- -

A:

Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

A:

Q: Please

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Q: For the function f(x) ex x>0 a) Determine the coordinates of all critical points. b) Use the first…

A:

Q: Find r'(t), r"(t), r'(t) - r"(t), and r'(t) x r"(t). r(t) = 2t2i – 3tj + t3k (a) r'(t) (b) r"(t) (c)…

A: To find r'(t), r"(t), r'(t).r"(t), r'(t)×r"(t).

Q: dy Find for dx 4) y= sinxtanx

A:

Q: 6x – 10,a -1

A:

Q: A box with a square base and open top must have a volume of 415292 cm. We wish to find the…

A: topic - application of derivatives

Q: At the beginning, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: let weight is exponential growth function

Q: The general solution of the differential equation dy/dx = 12x is y = 4x° + C. %3D Select one: O True…

A: topic- differential equation

Q: For the given vectors a and b, find the cross product a x b. = (4, 0, –3), b = (2, 3, 0) a x b =

A:

Q: A company determines that its demand function is given by p(g) = - 0.7g + 547 and that its cost…

A: Given query is to find the quantity for maximum revenue.

Q: The particular solution that satisfies the differential equation and the initial condition dy/dx =…

A:

Q: One of the correct. steps to evaluate x²inx. x²Inx dx to yield the correct integral (A dx x2Inx B x³…

A: The given integral,     ∫x2lnx dx

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -…

A: The given ellipse has Foci 0,±2 and vertices 0,±6

Q: y = sec?(x), 0s

A: Here is the solution

Q: Problem 3 Find a power series representation for the function and determine its radius of…

A:

Q: The most conveneient way to evaluate ²–4 by substitution is to let x2-4 =y A True B) False

A: Yes the statement is True, the substitution is the most convenient way to compute the integral

Q: 1. The point P(p, 1), where p>0, lies on the curve x2 + 2xy3 – : y = 0. a) Calculate the value of p.…

A: we have to find value of p.

Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

A:

Q: 4.)S V dx Use only The Method of substitution/u-substitution on this item. Final answer should be in…

A:

Q: Write a definite integral for the area of the region bounded by y = 2 - x² and y = x2. Do not…

A:

Q: Find the derivative of F (x) = S (t3 – t)° dt. O 5( – t)* (3t2 – 1) - O (2 - 2) O 5(x³ – 2)* O 3t2 –…

A:

Q: S- x*dx is equivalent to Using trigonometric substitution, (A) 6 sec40 de B) None (c) 8 sec40 de D 8…

A:

Q: Problem:

A: answer is in next step

Q: S- x+dx Using trigonometric substitution, (1+x?) tan4ode A sece В None tan+Od0 sec20 sin4ode (D coso…

A: