1. The line segment from (1, –1,3) to (0, –3,1) forms a diameter of the sphere S1. Find the center-radius form of the equation of S1.

Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

A: Given problem:- Find the general solution of non-homogenous differential equation using Variation of…

Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 %3D 1 1 1 T(0) %3D V3…

A: Let's find.

Q: Write an expression for the nth term of the geometric sequence. Then find the i a, = 8, r = n = 10…

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Q: Find a formula for the nth term of the arithmetic sequence. 26, d = 8 a1 %3D an

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Q: Use the dotted line as your y-axis and the solid gray line as the x-axis. Find the distance from the…

A: We need to find area.

Q: circumference C of a circle is a function of its radius given by C (r) = 2r. xpress the radius of a…

A: Topic:- function

Q: This equation is an example for linear equations dy dx False O True O

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Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: * This equation is . differential equation dy + 4xy = x y3 dx Bernoulli Linear Homogenous O…

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Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: A cliff diver plunges from a height of 49 ft above the water surface. The distance the diver falls…

A: Given :d(t)=16t2ft

Q: 258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time rate of…

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Q: Where is each function continuous? (b) f(z) = sin (1-r) I+3 (c) f(r)= In (d) f(r) = 12+5r +6

A: Topic:- function

Q: Find the derivative of the function y 6 tan-' (). %3D (Use symbolic notation and fractions where…

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Q: Solve the equation .11 y" + 3y' + 2y = x2

A: Given, y''+3y'+2y=x2 First let's find the Complementary function Re-writing the given equation as…

Q: [CLO-3] In the following question, FN represents the Nth Fibonacci number. F - 5 =

A: Follow the procedure given below.

Q: Solve the differential equation 3y r. y = -- y = - O C. y =+ Oa. Ob. +

A: This is a problem related to differential equation. Based on the general formula and concept we will…

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

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Q: An object is moving with velocity (in ft/sec) v(t) = t – 16. Find the displacement and total…

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Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: Find the limit.

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Q: Find the vector component of v = 2i – j+ 3k along b = i + 2j + 2k and the vector component of v…

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Q: ?Which of the followng equations is an exact differential equation +1) dx - xydy 0 2xydx + (2+x) dy…

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Q: Solve the equation .11 y" + 3y + 2y = x2

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Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: We need to provide 5 sample problems for Elimination of Arbitrary Constant Differential Equation.

Q: Consider the limits. lim f(x) = 6 x→7 lim g(x) = -8 Evaluate the limit using the limit law for a…

A: Evaluate the limit using the limit law for a quotient

Q: If f is continuous at a number, x, then f is differentiable at x. True

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Q: E-10: Let f(x) be a non-constant polynomial satisfying the relation f(x).f (y)= f(x)+f(y)+f(xy)-2,…

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Q: This exercise refers to the hyperbolic paraboloid z = y - x?. (a) Find an equation of the hyperbolic…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given region is bounded by the function y=16x-2x2 and y=0 and rotating about y axis.

Q: by the suitable solution Full the following blanks (Undetermined Coefficients method) If y" +y = 2x…

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Q: If D=d and Y= Cost The Cos X =

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Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: This problem has two parts. The second part will appear after you answer the first part correctly.…

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Q: dz Either show that the improper integral converges and find its value, or show that it diverges O…

A: To find if the given improper integral converges or diverges.

Q: Do not use a calculator for this problem. Find the x-value where the maximum value of y = sin x – 2x…

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Q: com/courses/46921/assignments/1001688?retum to-https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view…

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Q: Find the domain of the rational function. x-5 f (x) = x+8 Enter your answer in interval notation.

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Q: Determine the Laplace transform of the following function f(x) = x2 1.

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Q: Question Help: DVideo

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Q: Q.4 Let Ø be a scalar point function defined as follows Ø = x3 + y3 + z - 3xyz. %3D 4.1 Find the…

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Q: Se* tant e*dx

A: This question can be solved using the concept of indefinite integral.

Q: Full the following blanks (Undetermined Coefficients method) by the suitable solution 1. If y" + y =…

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Q: A combination lock will open when you select the right choice of four numbers (from 1 to 45,…

A: Topic = Algebra

Q: 2. Write the Riemann sum to find the area under the graph of the function f(x) = x* from x = 5 tox =…

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Q: Compute the derivative of the function y = 7 sin-(x) at the point x 3 (Use symbolic notation and…

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Q: 2pm travels east at 50 mph. How fast are the trains separating after a long time?

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Q: Evaluate the following sums using summation formulas. 10 10 10 Σ b. ) k? а. C. k=1 k=1 k=1 10 а. k=1…

A: We have to evaluate the sum