16. а — - (V3, 1), ь %3 (0, 5) b = (0, 5)

Q: 2. Derive the Maclaurin series for cos-(5x) as far as the term in x. Hence evaluate cos (1) to 4 sig...

A: Let's find. 

Q: Find the minimum and maximum values of the function f(x, Y, z) = 3x + 2y + 4z subject to the constra...

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Q: Determine the equation of the tangent line to the curve f(x) = sin4x – cos²x at x = Show all your st...

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Q: Jse the given graph of y = f(x) to find the intervals on which "(x) > 0, the intervals on which f'(x...

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Q: Find the dx/dy of 2x² + 4y² = 4.

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = x², y = 2x

A: Given; y=x2, y=2x   The expression for the centroid is: x¯=1A∬xdydx ;  y¯=1A∬ydydx Where; Area=A=∬dy...

Q: b.y = x100 ; find dx100 d'100y (100th derivatives)

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Q: Q4 Calculate the volume of the solid obtained by rotating the region bounded by the parabola 4py = x...

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Q: y” − 10y’ + 50y = 0, y(0) = −3, y’ (0) = 1

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Q: Gren thint sin (A+i6) = xtiy, 28 Prove that, 9父+ =1 snh'B 1) x essec?A -y' sec'A =1

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Q: 8. 1 Vn(1+vn)

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Q: Pierce Manufacturing determines that the daily revenue, in dollars, from the sale of x lawn chairs i...

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Q: Given: f (x) = x + 5x + 4 %3D and g(x) = x + 1 Solve for f (2) 8 (1)

A: Solution of question is written in below steps.

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. X = 4t, y = 4 –...

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

A: To find: The sum∑k=481k2+5

Q: Find the general solution of the differential equation and check the result by differentiation. (Use...

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Q: x2 + x + 1 xp Jo (x+1)2(x + 2) 2]

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Q: given the vector field A(ρ,φ,z)= cos(φ)*ρ+ e^-6z *φ+ 6*z find the laplacian and evaluate it at the p...

A: We have to find the Laplacian at the guven point.

Q: Evaluate using Pascal's Triangle. a.)  4C3   b.)   (7 5)

A: follow next step

Q: The velocity of a car is f(t)=7t meters/second. Use a graph of f(t) to find the exact distance trave...

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Q: f(x) * a = 49 (2n – 1)! 2". 72n + 1 + (x – 49)" n = 1 1 ㅇ윽+>m.72n+ 1.n! 1 (x - 49)" n = 0 1 1:3.5. ....

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Q: For x²y = y³x + 5y + x, find dy/dx by implicit differentiation.

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Q: x + 3 if x 1

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. x = 8 - y², x = y...

A: Let's find. 

Q: dx dy 1.65. dt Given y = x. Find when y = 6 and dt %3D dx (Simplify your answer.) %3D dt

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Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

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Q: Determine the solutions to the following problems: dP = 2P – 10 dt dB — 0.001В — 200, B(0) — 100000 ...

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Q: Find a polynomial function that has the given zeros. (There are many correct answers.) 0, -8, –9 f(x...

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Q: To pay for a 19,300 motorcycle, Keith made a down payment of 4500 and took out a loan for the rest. ...

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Q: Evaluate the iterated integral by converting to polar coordinates. –x² (x² + y?j3/2 dy dx dr de =

A:  Solution is given below...

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Please see the answer below.

Q: find if w= fcusu)ou=X+y Wxy xy Express the of u,v, fu , fv V= an Swer interns

A: Solve the following

Q: 2 y = 2x – x¯, y=2x¯ – 4x

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Q: The inverse notation f used in a pure mathematics problem is not always used when finding inverses o...

A: Since the tax function is dependent on g.

Q: Find the da/dx, where a is a function of x: a²x² + 2ax = a.

A: The given function,        a2x2+2ax=a

Q: 5) Find the distance from D to the plane containing A, B, and C NOTE: Enter the exact answer. Distan...

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Q: Determine whether the variation model represented by the ordered pairs (x, y) is of the form y = kx ...

A: here it is the y = k/x form and  now k = y*x put the value  k = 4*1 =4 k = 8*1/2 =4 k 12*1/3 =4 so f...

Q: find the general solution of the differential equation. y'+2xy=2xe-x^2

A: Find the general solution

Q: Evaluate the triple integral of (1 − x2 − y2) dV, where H is the solid hemisphere x2 + y2 + z2 ≤ 4, ...

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Q: x2ex b. Evaluate lim by using T.E. X-0 CoSX-1

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Q: a) Discuss the continuity of the function (- 2x² + 1 x > 2 f(x) = 1-4x x < 2 at the point x = 2 b) D...

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Q: For the function J (*) the tangent at point A has equation Y = 2a + 7. The coordinates of point A ar...

A: 4. The equation of the tangent line at the point A with coordinate Aa, b is given by y = 2x+3 To eva...

Q: f"(x) = 13r- (x²-1)a 2.f(x) = f'(x) = r* +1) 4x (x²-1)2 Determine the intercepts. Determine the equa...

A: f(x) =2x2x2-1Intercepts:x=0, y=0(0, 0),y=0, x=0X and Y-intercept: (0, 0)Asymptotes:x2-1=0x=1, x=-1  ...

Q: Evaluate the definite integral. Use a graphing utility to verify your result. 8. -Ix - 5|) dx

A: topic - integration

Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 12 - 3x², y =...

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Q: dx cot 3x sin 3x -1/3 sec 3x + C

A: ∫dxcot(3x).sin(3x)=∫dxcos(3x)sin(3x).sin(3x)

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A: Use simple integration formula for lateral surface area.

Q: find the domain, equations of all the asymptotes, points of inflection, min/max points, concavity, a...

A: Given    Domain :

Q: (m2 + 1) yy = 1 O = 2V +1+C O = 2tan- (z) +C O = tan (a) +C O y = Va +1+ C

A: Given query is to find the solution of the differential equation.

Q: a.y = 49x" ;find (50th derivatives)

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