2+w4 dw w3+9w

Q: Find Maclaurin Series)

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Q: B. Evaluate the limit of a function using the co indeterminate forms. 6x2-7x-3 1. lim 2х-3 X- V2x-…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find taylor Series using Substidetion

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

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Q: dy Use implicit differentiation to find da y? + 8z = 3y – 5a? dy dx

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Q: 20. What is the equation of the tangent line of f(x) = Vx = 4? A. x - 4y + 4 = 0 B. x + 4y -4 = 0…

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Q: Find the absolute extrema of the function on the closed interval. f(x) = x³ - x?, [-3, 2] minimum…

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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: Consider the following planes. 3x + 4y - z = 56 x - 8y + 2z = 0 (a) Find the angle between the two…

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Q: Differentiate the function. (4t + 1)3 (5t – 1)4 F(t) = In F'(t) =

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Q: Q4. The degree of the equation is dy d²y dx dx?

A: degree it is the degree of higher order derivative term here higher order derivative is d2y/dx2…

Q: 3. Find the projection of u = (2,1,2) onto v = (0,3,4) and the vector component of u orthogonal to…

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Q: 2. ts): Find the absolute maximum / minimum values of the function f(x) = x(6-x) over the interval…

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Q: Find the equation of the line tangent to the graph of 2 + y* = - 2xy + 13 at ( – 3, 4). The equation…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -7i + 48j – k v = 7i + j – k O…

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Q: Determine the value of C in on the antiderivative of F(x) = sin (x)cos°(x) for x = 0.994 and y =…

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Q: Find the vector v with the given magnitude and the same direction as Magnitude Direction u = (0, 5,…

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

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Q: Find the area bounded by the curve 2x2 + 4x + y – 0 and the line y + x = 0

A: To find the area of region bounded by the given curves.

Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: nd the implicit differentiation by using Total Derivatives a unction, x³ cos(2y) – 3x4 + 2e3y

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Q: sin x e" dx Cos x

A: To evaluate the given integral.

Q: п Sn = Ef=o (;) 5. 100 4.

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Q: mp must make an angi must a 15-foot ramp make with the ground to reach the same window? 30° 16° O…

A: Given query is to find indicated angle.

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

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Q: 2л E. Given v of magnitude 200 and direction , and w of magnitude 150 and direction 3 find v+w. 6

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Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: 1 dx 2 Jo (x-1)²

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Q: Find the points on the curve where there is a horizontal tangent line: x = 5cos(t) ; y = t3 - 3t2 +…

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Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: the following functions. Simplify, if possible. 1. g(x) = 2x3 + 6x – 2 2. h(x) = (3x + 2)² x2 3.…

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Q: For the length of the polar curve: r = 2cos(theta) ; 0 < theta < (3pi/2)

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Q: Differentiate the function In x f(x) = %3D In 2x+3

A: Given function f(x)=lnxln2x +3

Q: A man 6 feet tall walks at a rate of 3 feet per second away from a light that is 15 feet above the…

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Q: Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost…

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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…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude ||v|| = 8…

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Q: 10. What value of k makes the function {2x - (4(x + k) if x > 2 if x <2 f(x) continuous at x = 2? А.…

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

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

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Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: The area of a healing wound is given by A = ar². The radius is decreasing at the rate of 4…

A: Given query is to find the rate of change of area.

Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: 5. When company prices its seminar at $400 per person then 1,000 will attend the seminar. For each…

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Q: etermine from the graph whether f has a minimum in the open interval (a, b). (a)

A: answer of given question is in step 2

Q: 4. Find the general equation of the plane passes through the points (3,2,1) and (3,1,–5), and is…

A: We have to find the plane equation

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 cos(x) y' = || %3D

A: y = x4cosx take both side natural log lny = 4cosx(lnx) now differentiate with respect to x (y')/y =…