Solve for the derivative of the function using chain rule. 9. f(x)= esinx

Q: Exact equations: Solve * (2x + 3y) dx + (3x + y - 1) dy = 0 O x* + 6xy + y² – 2y = c O y2 + y* = c

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Q: Find the angle e between the vectors in radians and in degrees. (Round your answer for part (a) to t...

A: The angle between two vectors can be evaluated by: θ=cos-1u·vu v

Q: (b) Find the value of ? in factored form: 4. [3/ (x - 4)] = [((3x + 36) / ?] 5. [4/ (2x + 5)] = [? /...

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Q: Find the angle 0 between the vectors in radians and in degrees. u = 9i + 8j + k v = 8i - 9j (a) radi...

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (3, 0) Vg(3, 0) =

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Q: the edge of a tablecloth. The fringe comes in 5. Leslie needs 324 inches of fringe to put around of ...

A: one jar make 26  so 4 jar make = 26*4 = 104 cup    1 yard = 36 inch 10 yard = 360 inch leslie requir...

Q: Homogeneous function: Determine the homogeneity of the following functions. x³ - xy + y homogeneous ...

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Q: 11. Linear coefficients in 2 variables: Solve ti (x – y + 1) dx – (x + 4y + 1) dy = 0

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Q: the following. (x) = x? %3D + 6x + 7 Find the critical numbers. (Enter your answers as a comma-separ...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: Give The Taylor series abour fa) = ex mring Series-> for the followingevaluaro ns, and Firor Five te...

A: Put x=-5 and x=1/2

Q: Determine which of the vectors is (are) parallel to z. Use a graphing utility to confirm your result...

A: If z is parallel to a vector u then u =lemda z 

Q: 5. Solve 5-X Express your solution in erval no solution on a real number line.

A: We we will solve the inequality. 

Q: Eliminate the parameter to find a Cartesian equation of the curve with parametric equations x = et –...

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Q: 1 3. f(x) = (-x4-3)2

A: Solve for the derivative

Q: 4. (2y cos x + sin 'X) ax 5. y' = 1+ 3ytanx

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Q: Ду dy %3D II

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Q: Determine whether the planes are parallel, orthogonal, or neither. Зх - 15у - 32%3D7 4x - 20y – 4z =...

A: Answer is given below.

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that ar...

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the fi...

Q: 4. find the absolute max. and min. of the function f Plate boun ded by = x? +y2 on the closed triang...

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Q: h as suggested by the equ )dx +3(x+ 2y)dy = 0 whem

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Q: Determine the largest intervals in which the following functions are continuous. 2 (a) f(x) = 2 – 5x...

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Activity 1: Determine whether the given functions are continuous, differentiable, neither, or both a...

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Q: dy -2 sin x where y (5 = JT dx

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Q: Solve using Exact equations: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) * d * y = 0

A: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) dy = 0  

Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 4j + k v = 4i – 6j (a) radi...

A: The objectives to find the angle between the vectors in radians and degrees.

Q: Homogeneous Equations: Solve the differential equation +y? y' %3D xy O y? = x² In cx? x²y? = In cx2

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Q: Find a polynomial f(x) of degree 5 that has the following zeros. -4, -1, 6 (multiplicity 2), 0 Leave...

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Q: R = {y=x^3+1, x=-1, y=2}   Can you help me answer this? It is in calculus, about area

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Q: - partial fraction 2х -3 -dx (x– 2\,x+3)'

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Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

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Q: The number of users on a website is 3200 and is growing exponentially at a rate of 70% per year. Wri...

A: This is a problem related to exponential function. Based on the general formula we will answer the q...

Q: Determine whether each point lies on the line. x = -3 + t, y = 6t, z = 5 +t (a) (0, 18, 8) O Yes O N...

A: Line in 3D

Q: 2. Find the area between the curve x= - y +y + 2 and the y- axis.

A: 2) To find the area between the curve x=-y2+y+2 and the y-axis. The region bounded by the curve and ...

Q: 5. Determine constants a, b, c, and d that will produce a quadrature formula f(x) dx = af (-1) +bf(1...

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Q: A stone is dropped into a still pond. Concentric circular ripples spread out, and the radius of the ...

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Q: Define f(x, y) 2x2 + y? – 2xy + 6x. Find all critical points of this function, and determine, for ea...

A: The given function is: f(x,y)=2x2+y2-2xy+6x

Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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Q: Show that f x) = Ix- 5| is NOT differentiable at 5 by using the definitien of the derivative, (Start...

A: Definition of derivative:f'(x)=limh→0 f(x+h)-f(x)hf(x)=x-5f(x)=5-x,  x<5x-5,  x≥5L.H.S. limit:x&l...

Q: Find a set of parametric equations for the line passing through the point (4, 0, 7) that is parallel...

A: topic - equation of a line

Q: - 4x +7 on the interval [0, 4). Verify that this function satisfies the three Consider the function ...

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Q: Determine whether u and v are orthogonal, parallel, or neither. u = -3i + 8j - k v = 3i + j - k O pa...

A: Two vectors u and v are orthogonal if and only if u.v =0 .

Q: Find the volume of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinde...

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Q: 16. As a generalized interpolation problem, find the quadratic polynomial q(x) for which q (0) = -1,...

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

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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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: topic - vectors

Q: (ysin x+xy cos x)dx+(xsin x +1)dy = 0 Ans. xy sin x+y = c

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff ∂M∂y=∂N∂x

Q: How can rearranging the order of terms in an infinite series be different for an absolutely converge...

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