☐ ☐ 1. Evaluate the Integral リ x7 خروجه 5x8 +3 dx

Q: I have enough pure silver to coat 3 square meter of surface area. I plan to coat a sphere and a…

A: Given:Enough pure silver to coat 3 square meters of surface area is present. The plan is to coat a…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS.

A: 5)Option A is correct answer  6) Option D is correct answer Explanation:

Q: Letr→ (t) = 52 √√2t-3,3 sin(-4t) > 5t-2' Find fr→ (t)dt (don't include the +C) fr→ (t)dt = . + C

A: Hence Complete the solution.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: just part a please

A: z2sin(1/z)=z−(1/6z)+(1/120z3)−(1/5040z5)+...Explanation:Step 1:To find the Laurent series expansion…

Q: Consider the function f(x) = 1.984x4 - 7.936x³ a. Locate the critical inputs on the interval [2.8,…

A: Please check below Answer Explanation of Question a), b), c),Explanation: Question a): Step 1: The…

Q: == 8. Suppose g is a function which has continuous derivatives, and that g(8) = 4, g'(8) = 1, g" (8)…

A: The objective of this question is to find the Taylor polynomials of degree 2 and 3 for a function g…

Q: 3. Find f'(x) if f(x) differentiation) === 023 * xsin(x)

A:

Q: (x-5)n n=0 • 8 WI 2. Determine the interval of convergence of the power series.

A: The objective of this question is to find the interval of convergence of the given power series. The…

Q: 4. Find the inverse of the function, s(t) = √3 - t² - 6

A: To find the inverse of a function y=f(x) , use the following steps .Let y= f(x)Swap the variables x…

Q: 8. The base of a solid is bounded by the graph of x² + y² = a², where a > 0. Find the volume of the…

A: The base of the solid is bounded by the graph

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Therefore, the value of k that will make the planes π1​ and  π2​​ perpendicular is k=6.Explanation:

Q: e exact area of the surface obtained by rotating the curve about the x-axis. 1 1 y = + ≤ X ≤ 1 6 2x…

A:

Q: The Taylor series for f(x) = e* centered at x = Find the first few coefficients. -2 is Σ Cn (x+2)".…

A: Given that the function is               We need to find the Taylor's series expansion at x =-2.

Q: Use implicit differentiation to find dy/dx 2xy-y2 = 1

A:

Q: What is the slope of the normal to y= x-2 * at (2, 0)? x+2

A: Given a rational function.y=x−2x+2To find: slope of the normal to y=x−2x+2 at (2,0)

Q: 1) Find the equation of the tangent plane to a)z In (10x² + 2y² + 1) at P(0,0,0) b) z = f (x, y) =…

A: Ans 1)a. z = 0b. z = √2(4x+4-π)/8Explanation:

Q: I need the equation of the tangent line to the curve at (1,3)

A: Slope is given by as calculated m=3

Q: Consider the parallelogram with vertices A(-3, 0), B(-1, 3), C(5, 2), and D(3, -1) Find AB and AD,…

A:

Q: Compute the characteristic polynomial det (xI - A) of A. Show that landa = 5 is an eigenvalue of A.

A: 1)The characteristics polynomial  is x3−3x2−9x−52) λ=5is an eigen value of matrix AExplanation:

Q: Find the directional derivative of f(x, y, z) = 23x²y at the point (5, -5, 5) in the direction of…

A: Given a functionf(x,y,z)=z3−x2yTo find: Directional derivative of f(x,y,z) at the point (5,−5,5) in…

Q: 2 Determine a quadratic function f(x) f(x) = ax² + bx+ C in standard form, if its graph passes…

A: The objective of this question is to find the coefficients a, b, and c of the quadratic function…

Q: Wind chill index is determined by temperature and wind speed. That is W=f(T, v) in deg Fahrenheight.…

A:

Q: Find the indicated partial derivative. f(x, t) = x5e-ct fttt 0 ftxx = 0 × ×

A: Answers:  fttt​=−c3x5e−ctftxx​=−20cx3e−ctExplanation:Step 1:

Q: Find all the first and second order partial derivatives of f(x, y) = 3 sin(2x + y) - 3 cos(x − y).…

A:

Q: Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3 - x^2 and…

A: Given the region is bounded by the curve and line

Q: A right triangle has legs of 6 inches and 8 inches whose sides are changing. The short leg is…

A: The lengths of the legs of the right triangle areThe rate at which the short edge is changing, The…

Q: n-1 1 series an = 256 4 Find the sum S5 of the first 5 terms of the geometric # a1 (1 - p) = n Use…

A: To find the sum  of the first five terms of the following geometric series.

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: Let f(x) (a) At what values of x does h(x) have a relative maximum? arccos(x) and let g(x) = x².…

A: h(x)=arccos(x2) (a) h(x) has relative maximum at x=0 (b) ∫−1/2​1/2​​[arccos(x2)−3π​]dx (c)…

Q: Find the volume of the solid that results when the region enc y = √√√x, y = 0, and x = 100 is…

A: y=√xy=0 and x=100About the line y = 10

Q: integral of (e^x)/((e^x-1)(e^x+2))dx

A:

Q: x(t) = -8+5t Find a plane containing the point (-4,6,6) and the line y(t) = -1-8t Calculator Check…

A: Given:a plane containing point (-4, 6, 6) and line-To find:Equation of that plane

Q: An investor wants to select one of the six mutual funds for the coming year. Data showing the…

A: a)  Conservative Investor:For a conservative investor, minimizing risk is crucial. Therefore, the…

Q: Hello  Could you help with this problem:  Let S be the surface given by the equation y (see picture)…

A: (x,y,z)=(cosz,sinz,z),−2π​<z<2π​Explanation:Step…

Q: 4. One ship, Ship A, is approaching a port from the east, traveling west at 10 miles per hour, and…

A: One ship,  Ship A, is approaching a port from the east, traveling at 10 mph, and is presently 3…

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Calculate all four second-order partial derivatives and check that fxy = fyx. Assume the variables…

A: fxx= -98 sin(7x) cos(2y) fyy = - 8 sin(7x) cos(2y) fxy = - 28 cos(7x) sin(2y) fyx = - 28 cos(7x)…

Q: and Y. If Zxy = -5y, what Assume z is a smooth function of x can you say about each of the…

A: Answers: (a) −5y(b) 0(c) −5Explanation:Step 1:

Q: Find the slope of the tangent line to the curve below at the point (5,8). 4x+y+√√4xy =…

A:

Q: Question 3 Find the derivative of f(x) = √√(x+1)(x+2) (2x + 3) at x = 0 using Log- arithmic…

A: To find the derivative of  at   by  using Logarithmic differentiation.

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: (-5, 2, 1) Explanation: Here, given equations of lines are…

Q: c. 7.389056 In(t − 2) > e² 2. Provide a graphical (one combined) solution for the system of linear…

A: The final answer, represented graphically, is the shaded region that satisfies all four inequalities…

Q: A retailer anticipates selling 1,350 units of its product at a uniform rate over the next year. Each…

A: A retailer anticipates selling 1,350 units of its product at a uniform rate over the next year. Each…

Q: iv. Σ n=1 40n (2n-1)2 (2n+1)2

A: The given series

Q: PLS HELP ON ALL ASKED QUESTIONS PLS

A: Two planes intersect each other as the cross product of normal vectors is non-zero.Explanation:…

Q: 12. The population of a city is growing exponentially and can be modeled by the equation…

A:

Q: lim (√√x22x - x) 81x

A: −1Explanation:If you have any questions please let me know in comment box thankyou.

Q: The Western community is composed of students, staff, and faculty. Students make up 55% of the…

A: The Western community is composed of  students, staff, and faculty. Students make  up 55% of the…

Q: Find a rational function that may have the given graphs.

A: f(x)=(x+4)2(x−2)2(x3+x)17(x−1)2(x+2)2​Explanation:I attached my solutions below, I hope this can…

Q: A manufacturer believes that the cost function 5 C(x) = x²+90x+900 approximates the dollar cost of…

A: