iff has n derivatives at x = a. The n" degree Taylor polynomial is the nº partial sum of the Taylor series for a function f at a.

Q: The point (6,-9, 7) is the center of the sphere represented by the equation x² + 12x + y² - 18y…

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Q: Find T(t), N(t), aT, and aN at the given time t for the curve r(t). (Give your answers correct to 3…

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Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

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Q: Evaluate the indefinite integral Select one: O a. 1 (1 - √√x)4 1 O b.. O c. - + C (1 - √√x)² 1 + C +…

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Q: A) estimate the area of the graph of f(x) = 25 - x² From x=0 to x=5 using approximating rectangles…

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Q: AXB=[% O O O O O Given the following matrices A-B-²3³] [8 12-241 So 16 24 -48 a. a=6, b=6 Ob. a= -6,…

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Q: consider the integral 1² +5) dx 3 x a) Riemann sum using right endpoints and n=4 b) Riemann sum…

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Q: Find positive numbers x and y satisfying the equation xy=9 such that the sum 3x+y is as small as…

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Q: a) Find a and c so that (a, 1, c) is a point on the line through (0, 2, 3) and Justify your answer.…

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Q: If √√√1-y² the resulting of integral is x² + y² dxdy is changed to equivalent integral in polar…

A: if we change Cartesian coordinate to polar coordinates then  we write - X = rcos(theta) Y =…

Q: Obtain the general solution to the equation. dx y dy + 6x=5y

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Q: Question 2 Given the equation -4x² + 40x - 4y² - 32y - 4z² +24z = -200 ] Show that the given…

A: We find center and radius of the following sphere.…

Q: Find the total area between the graph of ​f(x)=x^2−4 and the​ x-axis from x=0 to x=10.   The total…

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Q: Find dy for y=5x^3+ 7*square root(7x)

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Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: Using Linear Equation, find a general solution of: dy x x - y - 5x4 3x² + 2x = 0 dx

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given: 8-12y+e-3xdx-4dy=0

Q: 6. Mr.Eltohamy is the quarterback of the MPM2D1 touch football team. During the game, he passed the…

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Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

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Q: The reverse order of 2 2 1 Jo Jy x 1 sinx cos dxdy is sinx cos dydx False True O

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Q: Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

A: The objective of the question is evaluate the indefinite integral.

Q: An area is bounded by the curve y = sinx, the x axis and the lines x = 0 and x = πT. What is the…

A: We have given curve y=sinx and x axis with x=0 and x=π

Q: B (2x + 3y² +42³) dV, where B = {(x, y, z)|0 ≤ x ≤ 1,0 ≤ y ≤ 2,0 ≤ #≤ 3} 08 192 170

A: dv = dxdydz And put the limit of integration.

Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: Question 12 a) 3] Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: 5. A spherical balloon is being inflated at a rate of 10 cubic centimeters per second. dr A. Find an…

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Q: L sin2t cos3t

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Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…

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Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

A: I am attaching image so that you understand each and every step.

Q: Q2\ Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: 1- true Matrix having 1 row is called row matrix.  2- true.  Gauss Jordan method is used to find…

Q: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

A: F(x)=5cos(3x) on [-pi, pi] What intervals is f increasing and decreasing?

Q: 3. Let Compute each of the following IV. B-¹αoß a = B = 12 2 3 2 3 1 + 4 4 5 6) 6 3 54 2 3 1 2 4 4 5…

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Q: Choose the angle (in radian) between the follow u = and O 3.142 O 1.047 Од None of the others O…

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Q: ·S In (x) vxln(x)-x X dx

A: We know that integration power rule is - Integration of xn is xn+1/n+1 + C . Here C is integration…

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

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

Q: Let a be a real number. Evaluate the following integral: So fx + y dady

A: ∫0a∫y-1y+1 x+ydxdy this is given  find double integration  further step given below

Q: Initially 100 milligrams of a radioactive substance was present. After 9 hours the mass had…

A: Here is the solution:

Q: Find the principal unit normal vector to the curve at the specified value of the parameter. (Give…

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Q: (b) Show that y = 3e²x + e-2x - 3x is the unique solution of the initial value problem y" - 4y =…

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Q: La longitud de un rectángulo es tres veces su ancho. Si el perímetro del rectángulo es 72 in, ¿cuál…

A: Length of rectangle be l

Q: Given the conic section = Intercept(s): Focus (foci): 1 5+7 sin(0)' find the x and y intercept(s)…

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Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: Find the area of the surface obtained by rotating the curve about the x-axis. 2) 20 sys 3 Select the…

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Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: A river is 2 km wide and flows at 6 km/h. Anna is driving a motorboat, which has a speed of 20 km/h…

A: In this question we have to find the solution for the following statements.

Q: For a given cylindrical tank, the radius is 7 m and the height is 15 m. The tank is filled to a…

A: Use workdone formula for finding the work

Q: y' = x - 4xy

A: We have to find solution of differential equation.