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A: We have to solve both Questions.
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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form Judv= ...
A: Integration by parts
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Q: ||v|| = 1 %3D ||w|| = 5 %3D The angle between v and w is 1 radians. Given this information, calculat...
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Q: 2. Determine the derivative of f(x) = sin-'(2x)
A: Topic = Derivative
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A: Since you have asked multiple questions in a single request we would be answering only the first que...
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Q: You are given the parametric equations a = 10 – t2, y = t – 12t. (a) List all of the points (x, y) w...
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Q: A. Solve the following problems. 1.) A rectangular plate 12 ft long and 8 ft wide is submerged verti...
A: Here, note that pressure on the surface of a submerged body can be given by: P=ρgy
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Q: If a1, a2, a3, ..... , an are in AP witn common difference d (where d + 0) then the sum of series : ...
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Q: Use the Integral Test to determine whether the series is convergent or divergent. Σ n= 1 Evaluate th...
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Q: Consider the following. 1 = (3, 7), v = (4, 6) (a) Find the projection of u onto v. 27 13 (b) Find t...
A: Given vector,u=3i+7jv=4i+6jVector projrction of u on v=u.vv2v=(3i+7j)(4i+6j)42+62(4i+6j)=12+4216+36(...
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Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer do...
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Q: Consider the following graph. y -5 -4 3 1 1 2 3 4 6. (a) Find the interval(s) on which f is increasi...
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Q: A company's total profit from selling æ thousand units of Product A and y thousand units of Product ...
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Q: valuate the given integral by changing to polar coordinates. || sin(x² + y2) dA, where R is the regi...
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Q: Express the following series as a telescoping sum and evaluate its nth partial sum. 2n+1 06. E (Hint...
A: We can solve as follows
Q: Which situation is modeled by the equation y= -15x+ 300? A Maria has $300 in an account and deposits...
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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx
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Q: 15-30. Working with parametric equations Consider the following parametric equations. a. Eliminate t...
A: We have to eliminate the parameter eqaution of x, y and indicate the positive orientation
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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...
A: The line passes through;(x0, y0, z0)=(-1, 4, -6)parallel to direction vector:v=a, b, c= 2, -1, 0a=2,...
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A: Domain of x-lnx : Solution: x>0 Interval Notation: 0, ∞ The inverse of the function is not p...
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Q: (d) lim sin x In x x→0+ (e) lim (sec x – tan x) x→T/2- x³ – 64 (f) lim x→4 x2 + 16
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Q: Use partial differentiation to find the derivative of the implicit function dy (3x'y-1)+ 7xy = 9 usi...
A: We will use the given formula to solve this question.
Q: 15–18 Find the angle between the vectors. (First find an exact expression and then approximate to th...
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Q: ft A spherical balloon is inflating with helium at a rate of 128x How fast is the balloon's radius i...
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Q: Find the radius of convergence, R, of the series. ř n(x – 4)" n=1 n° + 1 R = Find the interval, I, o...
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Q: termine whether the series converges or diverges. Explain your answer. Σ 7 + sin(n) n = 0
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Q: Find the volume of the solid. y=9-x2, y=0, about the x-axis
A: y=9-x2, y=0, about the x-axis here put y=0 0=9-x2 x = +3 or -3 volume V = ∫-33 2πxydx V =∫-33 2πx(9...
Q: 1. (a) (i) Determine the least degree of the polynomial function given by the following graph. (ii) ...
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Q: 4. Solve the linear system below w + x - 4z = -2 0.5w – 0.5x + 2y + 0.5z = –2 -3x + 0.5y + z = -5 4w...
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Q: Determine the equation (of lowest degree possible) for the graph shown You may leave your answer in ...
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Q: Find the derivative of the function. (2) = earcsin(z) 3e arcsin(23)22 V1- 25 f'(z) = V1-26
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Q: Strontium-90 has a half-life of 28 days. (a) A sample has initial mass of 50 mg. Find a formula for ...
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Q: Calculate M, for f(x) = 6 · In(æ³) over [1, 2]. M6 ||
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Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr...
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...
Q: Evaluate the iterated integral by converting to polar coordinates. (Round your answer to four decima...
A: In Polar Coordinate , x= r cosθ and y = r cosθ and dx dy = r dr dθ
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Q: Use linear approximation to estimate the following quantity. Choose a value of a to produce a small ...
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Q: D- Hyperbolic Functions ) y= cosh (dx-1)
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Q: 3x=3y in polar form
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Q: Find the area bounded by y= x^2-2x and y= x. Also illustrate the graph
A: Topic = Area
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