Question Find the average value of f(x) over the interval [0, 2]. Submit an exact answer using fractions and/or roots if needed. = Sorry, that's incorrect. Try again? The average value of f(x) is -3.17 FEEDBACK VIEW ANSWER SUBMIT

Q: Let f(x) f'(x) = 3 sin r 2 + cos x Find f'(x).

A:

Q: Consider the function f(x) = 5e on the interval [0, 7]. 13- 12 11 10- 9 8- 7- 6- 5 2 Find the…

A:

Q: Classify the given differential equation according to its type, order, degree, and linearity. d²y…

A:

Q: ƒ cos(x³) x² dx. 1 ¹ cos4 + c 4 1 WIT 3 1 -| sin x³+ C 1 ·cosª + c 4 4 -3 sin x³+ C

A: Topic = Integration

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Given,           ℒ-11s2+1s2+25

Q: If 6√√x + 15√y = 177, find y'(x) by implicit differentiation. y'(x) = Y I Find the exact value for…

A:

Q: 5. Solve the differential equation dy 4t dt y² + t²y² = subject to the initial condition y(0)=2.

A:

Q: Which of the following functions are solutions of the differential equation y - 3y = 6 ? 0 O y = -2…

A:

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: inverse laplace transform

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given Equation 8y'+y=8t2y'+18y=t2 Comparing with standard form y'+Py=Q P=18Q=t2

Q: xydx + (x^2+y2)dy = 0 Prove that it is a Homogenous DE using homegeneity test (degree n)and solve…

A:

Q: 64. The complete cardioid r = 2 - 2 sin 0

A:

Q: Calculate the vector area of the helicoid parameterised as follows: F(t, s) = (t cos s, t sin s, s)…

A: Please see the below pictures for detailed solution.

Q: Use Green's Theorem to evaluate the line integral along the positively oriented curve C that is the…

A:

Q: √ √x dx W|N 3 x2 + N/W N/W + C + C 2/3 + C

A:

Q: Evaluate [C 02 6 3 10 160xy³ dydx

A:

Q: Find the G.S. about xo = 0 for the following DE's 2. (1 + x²)y" + 10xy' + 20y = 0

A: answer is in next step. please give a like !!

Q: Consider the following initial-value problem. y' - y = 2 cos(7t), y(0) = 0 Find L{f(t)} for f(t) = 2…

A: Given the initial-value problem is y' - y = 2 cos7t,  y0 = 0

Q: ate the following integral using integration by parts. 4x sin x cos x dx u=4x sin x. Use the…

A:

Q: Answer ise. The function f(t) = (et)10 is of exponential order. True False

A:

Q: Determine whether the following series converges. 5(-1)k+1 Σ k=1 k5 Let ak 20 represent the…

A: Given: Here,            ak=5-1k+1k5 and decreasing series.  Now,…

Q: 3. Explain why lim √2x - 6 does not exist.

A: 3. The given limit is limx→32x-6 Note:    Multiple questions are given, we are answer with only one…

Q: If y = f(x) + g(x), then y' = f'(x) g(x) + g'(x)f(x) True False

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Differentiate the function. Then find an equation of the tangent line at the indicated point on the…

A:

Q: The equation of the tangent plane to the parametric surface x = u, y = v², z = uv at the point where…

A: This question can be solved using the concept of finding the tangent plane when the parametric…

Q: Evaluate the integral. -^x dx e S² sin √1-x² 2

A:

Q: Find the G.S. about xo = 0 for th 2 (1+x²)x" + 10xy' + 20v

A:

Q: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: = Let f be a function defined for t≥ 0. Then the integral L{f(t)} . - fotº e- 0 provided that the…

A:

Q: Given the equation below, find dy dx = Y dy dx - 17x² + 7x68y + y ¹⁰ = - 9 dy Now, use to find the…

A:

Q: If a rock is dropped from a height of 197 ft, its poistion t seconds after it is dropped until it…

A: Given that,  Height from which the rock is dropped is 197ft Function defining position of rock at…

Q: At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 15 knots and ship…

A:

Q: (x-2y) dx + (2x+y)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A:

Q: Find the equation of the plane passing through the point (-1, 4, 0) perpendicular to the line L₁: x=…

A:

Q: Find F'(x). F (x) = 48 [아 dt t I F(x) =

A: To find out F'(x).

Q: . (x + 2y) dx + (2x + y) dy = 0. ANS. x² + 4xy + y² = c.

A:

Q: Question Find dy and evaluate when a (Enter an exact answer.) Provide your answer below: dy = = -5…

A: The given function is; y=(2x4-4)/(5x+1), x=-5, dx=0.4

Q: dy Find for dx X 0 12+ 13t² dt.

A:

Q: Find the vertices and foci of the hyperbola. 4x² - y² - 24x - 2y + 31 = 0 vertices smaller x-value…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Use the triangles given on the right to evaluate the expression given below. If necessary, express…

A:

Q: Let R be the solid enclosed by the surfaces z = 3x² + y² and z = 8 – x² - y². Fill in the missing…

A: To find the missing limits of integration.

Q: Which of the following is the vector projection of (1, 0, 1) onto (-2,4,0)? 1 B. (-1,2,0) C.…

A:

Q: enshot (1603) Solve the given differential equation. All solutions should be found. (3y² + 2xy) dx −…

A:

Q: Evaluate r2 ff dyda.

A: Given itegration ∫-12∫x2-2x   dy dx

Q: Evaluate the following integral using integration by parts. 4x sin 4x sin x cos x dx Let u=4x sin x.…

A:

Q: For the given cost function C(x) = 19600 + 200x + x² find: a) The cost at the production level 1750…

A: Since, you have posted a question with multi-parts. As per guidelines we'll solve only first three…

Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 x=y³ 0.5 x = y² 1 (1,1) X 1.5 C The area is

A:

Q: Estimate the area under the graph of f(x) = rectangles and right endpoints. Rn = Repeat the…

A:

Q: 20 29t2 +42t represents the position function for a particle moving The function s(t) = along a line…

A: The given function is: s(t)=203t3-29t2+42t  where t∈0, 6 v(t)=d(s(t))dt=d203t3-29t2+42tdt=20t2…