F. dr of conservative vector field F(x, y, z) Calculate line integral A 7, —2, −8) to (−2,8, –1). nter an exact answer. rovide your answer below: displaystyle F. dr = - 6yz 6z i x² x 6y x k, where A is a path from

Q: Answer each question appropriately. 29) Find the standard equation for the positions of a body…

A: Given d2sdt2 = a dsdt = v0    when t = 0 s = s0  when t = 0

Q: Find the derivative of f(x) = (x8 – 9x) (x² = + 2x -6)

A:

Q: (x³ - x) dx 3 -1

A:

Q: At what point does the normal to y = -3- 1x + 2x² at (1, -2) intersect the parabola a second time?

A: According to question,Given Equation of parabola,y = -3-x+2x2

Q: Find the derivative of f (t) = (6t3³ - 8t² + 7) 46 f' (t) = BA

A: Given query is to find indicated derivative.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: The given region is: Now use the cylindrical shell method to find the volume of the solid about the…

Q: ㅠ (2 cos x - 2 sin x) dx

A:

Q: A. Instruction. Graph the following Function and its Inverse. x-3 1. f(x) = 2x +3; f-¹(x) = x= ³ 2…

A: The given functions and its inverse function. 1. fx=2x+3, f-1x=x-32 2. fx=x+6, f-1x=x-6 3. gx=x2,…

Q: A contour map for a function f is shown. 5-4 8 7 16 in 6+ 4+ M 24 10 30 。 40 50 Use the contour map…

A:

Q: Two equations and their graphs are given. Find the intersection points of the graphs by solving the…

A: NOTE: Refresh your page if you can't see any equations. . given functions are here we have to…

Q: Determine the first two terms and the last two terms in the sum given below. 8 Σ (9k + 2) k=1

A:

Q: Problem #1 The City Council proposed to utilize government-owned land with an area of 9,600 square…

A: We know that area of the rectangle is given as - Area= length × width  And differentiation of xn is…

Q: A carbon sample contains 4000 atoms of radioactive element 235U. Given that 235U has a half-life of…

A: A carbon sample contains 4000 atoms of radioactive element 235U. Given that 235U has a half‐life of…

Q: 8. 2 sin² x 5 sin x + 2 = 0

A:

Q: nd the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

A: Given query is to apply mean value theorem.

Q: Estimate the area under the graph of f(x) = x² + 2x + 1 over the interval [2, 6] using four…

A: To estimate the area under the graph of fx=x2+2x+1 over the interval 2, 6using four approximating…

Q: 1 /(-))). i 2x²y² xy³ Evaluate the integral curve joining (1, 2) to (2, 2). Enter an exact answer.…

A: To find the given line integral.

Q: a) f(x) = = Using logarithmic differentiation find f'(x) if 42x+1 1-3x

A: acoording to bartleby guideline we do only first part of multiply questions…

Q: 27. Find the values of the six trigonometric functions of an angle in standard position if the point…

A:

Q: Evaluate the integral: S (2-1)(2+1)2 dx : +C

A:

Q: 6. The radical function fx) = √√x is graphed below, along with a few key points. Sketch the…

A:

Q: red

A:

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: O Setup the Riemann sum 5 x³ dx = lim n→∞ n k=1 f(x) dx = lim Σ f(x) Ax for the given integral. n→∞…

A:

Q: 2. Fully factorise 4x4 − 8x³ - 7x² + 11x + 6.

A:

Q: Find a cosine function and a sine function whose graph matches the given curve. Explain.

A: NOTE: Refresh your page if you can't see any equations. . the sine function is in the form of as we…

Q: One branch of the curve r = 5 sin(40) is shown. An integral to find the area of the region is de…

A:

Q: Express the integral as a limit of Riemann sums. (But don't calculate the limit.) 10 [420 3 4x…

A:

Q: Given the geometric sequence 3 ان دا دات 3,125 625 125 48 24 96 www** what is a6?

A:

Q: Solve the system of linear equations. (If the system is 3y + 5z -16 y 2z = -50 y + z = 7 2x 4x -X-

A:

Q: Given, f(x) = = 4x x+1 X x, [−5, -2]

A:

Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° ≤ 0 < 360°.) v = 9i + 3√3j…

A:

Q: a. Identify the function's local extreme values in the given domain, and say where they occur. b.…

A:

Q: The price (in dollars) p and the quantity demanded q are related by the equation: p² + 2q² = 1100.…

A:

Q: ving integral equal? -21 [²+ f(x)dx = 7 93 and g(x) dx = 16 and h(x)dx = 27 -21 -93 21 -93

A: We have to find the value of the given definite integral according to the given information

Q: Use the binomial formula to find the coefficient of the p²x term in the expansion of (3p-x) ¹0 0 X S

A:

Q: 2 1 1 √1–1² SS dzdxdy 0 y 0 Rewrite using the order dz dy dx

A:

Q: Which of the following equations has no solution? 5. a. b. − ²)(a b) = (19) (²2) -77²) (²5) = (69) a…

A: We know that value of determinant is zero when any two row (or column ) are identical. Here in case…

Q: Covid pandemic caused a company annual revenues to drop from 530M in 2019 to 386M in 2021. If the…

A: Let's find expected revenue in 2023.

Q: please solve question (b)

A: To find where the function is concave up or concave down.

Q: What lump sum do parents need to deposit in an account earning 14%, compounded monthly, so that it…

A: Topic - Compound interest We are given, Future value =FV=$90000 Time=18 years rate of interest =14%…

Q: (1) Let y = Σnz". (a) Compute y' and write out the first four terms of the series. (b) Compute y"…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: According to question,Given Functions,fx = x2 + 20≤x≤5,Rotation about x =5

Q: 1. Find the angle between vectors w=-37+√3 and v= Answer: 0 = 5π 6 = v = (√3₁-3) 150⁰

A: To find the angle between vectors w→=-3i→+3j→ and v→=3, -3.

Q: Suppose f(x) is continuous on [3,7] and −5 ≤ f′(x) ≤ 5 for all x in (3,7). Use the Mean Value…

A:

Q: Find parametric equations for an object moving clockwise along the ellipse X= 2 X 2 + 1 beginning at…

A:

Q: A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see…

A:

Q: Eliminate the arbitrary constants lnw = -x, y = c1w + c2w2

A: Here we have to eliminate the arbitrary constant in the given equation

Q: Solve the following IVP: * = 1² * [1 2 13 2 x(0) = = [4]

A: NOTE: Refresh your page if you can't see any equations. .

Q: A rich uncle wants to make you a millionaire. How much money must he deposit in a trust fund paying…

A: NOTE: Refresh your page if you can't see any equations. . here we have  A=1000000 (future value)…