15. Which of the following has terminating derivative? 1 1. у %3 Зх3 — 2x2 + х-1 —5 II. y Зx+2 1 . у 3 IV. y = V2x +1 x-3 || II O IV

Q: An object is moving along a path defined by the graph   x2+y2=2   Compute dy/dy, if dx/dt=2,x=−1,…

A: Differentiation application

Q: Choose the vector has a magnitude of 6 and a direction of 0 = 150°. ㅇ(-38.3) ㅇ-3.345) O (3-33) O…

A: We have to find the vector that has a magnitude of 6 and a direction of θ=150°.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Given problem:- Find sets of parametric equations and symmetric equations of the line that passes…

Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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Q: sets or parametric equations and symmetric equations of the line that passes through the given point…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value…

A: This can be solved as follows:

Q: on 2 Determine the radius of convergence, R, of the following power series. Remember the radius of…

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Q: Two vectors beginning at the same vertex of a triangle are ⟨-5,3⟩ and ⟨3,5⟩. Choose the correct…

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Q: Determine the value of the arbitrary constant of the antriderivative of F(x) = X-in(x) given the…

A: We can solve this as follows:

Q: Sinx-x+ (Taylor Series Using Power Series X+3!

A: Power series of sinx is x-x33!+x55!-x77!+... .

Q: A. Evaluate the limit of a function using the concept of Special Limits. sin2t t3 sint 2. lim

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Q: Give all solutions of the nonlinear system of equations, including those with nonreal complex…

A: We have to use substitution method to solve the system of equations

Q: Sketch the graph of any function that satisfies the following conditions: - f(3) = 2 - limx-->3-…

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Q: Evaluate: /sin(Vx)dx A 2/x sin(Vx) +2cos(/x)+ C B 2sin(Vx)+2/xcos(x)+ C None of the given Choices O…

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Q: What is 56÷4

A: 56 divided by 4=14

Q: 4. j(x) = x² sec x %3D

A: We can solve question no 4 as below.

Q: d) y = sinh(lnx)

A: As per your request I will solve d part

Q: Evaluate the limit of f(x) numerically or state that the limit does not exist. 2x2- f(x) = - 162 x +…

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: Find the x component and y component of each vector and then add them.

Q: Let x = 0.29 and y = 4.03. Determine the value of C when you evaluate tan(2x)dx.(Use 2 decimal…

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Q: dy 1. Evaluate the dx for parametric equations x = 2t? – 4t and y = t2 – 2 with respect ot the…

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

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Q: f (x) 4 2. (2, 2). -6 -4 -2 2 6. -2 -4 -61 4.

A: Given query is to find indicated limit.

Q: (3-х, х <2 +1, x 2 2 B. Is the function h(x) continuous at x-2?

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

Q: It is found that 0.5% of radium disappears in 12 years, a.) What percent will disappear in 100…

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

A: Let's find.

Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

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Q: Indicate with true (T) or false (F) whether the following functions are polynomials. f(x) = x+ 2.…

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Q: 2+w4 dw w3+9w

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Q: Find an equation of y =

A: Given query is to find the equation of the tangent.

Q: Let y sin(5x). If AI = 0.4 at z = 0, use linear approximation to estimate Ay Ay 2 Find the…

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Q: The integral expression J xcos-(2x)dx can be evaluated using integration by parts of the form…

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Q: The coefficient of Ssin(x) in the antiderivative of is 15/32 (use fraction form not decimal no…

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Q: Find the Particular Solution: y(x - 6y)dx - x(2x - 9y)dy = 0 ; when x=1, y=1

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z = 5 4x - 20y – 4z =…

A: Solution is given below:

Q: Let F(x) = f(x) + g(x)e\ + h(x)e²× + C be the antiderivative of G(x) = (x+ e*)“. Determine the value…

A: Given problem:- Let F(x) = f(x) + g(x)ex + h(x)e2x + C be the antiderivative of G(x) = (x + ex )2…

Q: An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane…

A: 1. From figure we can conclude that, Using Pythagorean theorem,  6 ^2 + x^2   = s^2 Differentiate…

Q: A 24 factorial design (with factors A, B, C, D) is to be conducted in four blocks. Divide these 24…

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Q: 1-х 3 c) y = xx

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Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

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

Q: Blowing Soap Bubbles Carlos is blowing air into a spherical soap bubble at the rate of 7 cm³/sec.…

A: V=(4/3)πr3 now differentiate it with time dV/dt = 4πr2dr/dt 7 = 4(22/7)*9*9(dr/dt) dr/dt =…

Q: Use L'H rule to find (a). lim zlng, (b). lim zn ez 1

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Q: Estimate the slope of the tangent line at the point t = -6, for f(t) = 4t – 2. (Give your answer as…

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Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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Q: A rectangular tank with a square base, an open top, and a volume of 6912 ft° is to be constructed of…

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Q: Find the points on the surface y? = 36 + xz that are closest to the origin. smaller y-value (х, у,…

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Q: Let fand g be the functions in the table below. f(x) g(x) f '(x) g'(x) 1 2. 4 2 3 7 3 1. 7 9 (a) If…

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Q: Evaluate: Jx?cos(2x)dx

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Q: Evaluate the iterated integral by converting to polar coordinates. V4 - x 2 x² - y² dy dx

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