1. dx (x²+4)²

Q: d parametric equations for the following curve. Include an interval for the parameter values. e path…

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Q: f(x, y) = 9xye(x² + y²) f(0, 0) = f(0, 1) = = f(1, 1) = ==== f(-1, -1) =

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Q: 6).  State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1 (−1)n…

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Q: Find Vy where = (x² + y² + z²) e¯¯ √√√x² + y² + z ²

A: Given :ψ=x2+y2+z2e-x2+y2+z2

Q: Find the first partial derivatives of the function.

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Q: Consider the following function. f(x)=√x-4, x> 4 What is the domain of f? (Enter your answer using…

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Q: (Question # 7, 8, For the following exercises, find the local and/or absolute maxima for the…

A: as per company guidelines we solve only first question when multiple question being posted.

Q: d/dx(y(x)) if x and y are related by the parametric equations x = t+sint, y = t^t

A: Given  equations x = t+sint, y = t^t

Q: Please show your answer to 4 decimal places. Suppose that f(x,y)=e^(−x^2−2y^2−y)then the maximum is

A: We have to find the maximum.

Q: An infinite series [x_n converges if the sequence (S_n) of partial sums given by S_n=x_1+x_2+...+x_n…

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Q: object from v? If yes, explain how would you recover s. If not, what other information are we…

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Q: A large tank is filled to capacity with 700 gallons of pure water. Brine containing 3 pounds of salt…

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Q: Use the graph of f in the figure to the right to complete parts (A) through (M) (assume that f''(0)…

A: Given: f''(0)<0,f''(b)>0 and f''(g)>0 From graph: f'(a)<0,f'(b)=0, f'(0)=0, f'(g)=0 and…

Q: 7 Find f(x) if f'(x)= and f(1) = 4. X 7 --x-3+19 O B. f(x)= -28x-5 +32 7 O c. f(x)= 3 O A. f(x) =…

A: As we know the Power rule: ∫xndx=xn+1n+1+C ; n≠-1   Given: f'x=7x4 So, we can also write as;…

Q: Evaluate the following indefinite integrals using U-Substitution. Thank you! 6. ∫ x3 (2-x2)12 dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Evaluate: lim, __.—3 (√22² — 10) (2²+x-6)

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Q: Solve the initial value problem y" — 2y' — 35y = 0, y(0) = a, y′(0) = −15. Find a so that the…

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Q: Find a differential equation whose general solution is y = C₁e6t + c₂e-4t y" - 2 y' - 24 = 0 X

A: The solution of the DE is: y=c1e6t+c2e-4t where the solutions to the auxiliary equation are 6 &…

Q: An metal cube with each edge of length s millimeters is expanding uniformly as a consequence of…

A: NOTE: Refresh your page if you can't see any equations. . s=length of the cube the volume of the…

Q: 6. A population grows exponentially according to the differential equation P =kP , where P is the…

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Q: Consider the following function. x + 2 x-1 What is the domain of f? (Enter your answer using…

A: Points to remember. Every polynomial is a continuous function. If f(x) and g(x) are continuous…

Q: O For what value of the constant e is the function continuous on (-0, ∞) 8e-5 0e-4 Oe=1

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Q: Find the solution to the differential equation dy/dx + y^2sin(x) = 0 which satisfies y(0) = −1.

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Q: Find the particular solution of the differential equation that satisfies the initial condition.…

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Q: Please

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Q: 832+ 64x2² dx

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Q: (a) (i) Find the equation of the tangent to the graph of f(x) = e² at x = 0. (ii) Show that the…

A: NOTE: As per our guidelines, I have solved three parts. If you want the answer of other, kindly post…

Q: and ₂ Given that the matrix A has eigenvalues ₁ = -6 with corresponding eigenvector V₁ = - = 6 with…

A: The matrix A has eigen values λ1=-6 with corresponding eigen vector v1=1-1 and λ2=6 with…

Q: b) Find the counter-clockwise angle of rotation of axes to remove the xy term in the equation 12x² +…

A: Given.

Q: Decide whether each labeled point is an absolute maximum or minimum, a relative maximum or minimum,…

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Q: Estimate the area between the x-axis and the graph of f(x) = 9 - x² over the interval [0, 3] by…

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Q: As an object in rectilinear motion moves, its signed distance s (in meters) from the origin after t…

A: NOTE: Refresh your page if you can't see any equations. . the  given position function is to find…

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

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Q: Determine where the function is concave downward. f(x)= -x^2+8x+8

A: Given, f(x)= -x^2+8x+8 We know that, We can calculate the second derivative to determine the…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

A: Here, the given curve is: y=4xcos-1(x-1)⇒dydx=ddx4xcos-1(x-1)⇒dydx=4ddxxcos-1(x-1) Using the product…

Q: f(x)=0 for x EQ and f(x)=x otherwise. We can conclude f is not integrable on [-1,1] sim

A: In this question we will use basic concepts of calculus i.e concepts of integration and continuity.…

Q: units

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Q: Convert the point (3, −3) in rectangular to polar coordinates (r, 0). 7T 18, (7) 3√2,

A: NOTE: Refresh your page if you can't see any equations. . the given point is

Q: 4 If cos(0) and is in the 4th quadrant, find sin(0) 5 Give exact values. No decimals allowed! If the…

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (6 + s)i + j K= eBook

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Q: 4. Use the special properties of logarithms to solve the following equations. a. M = log₁11²1 b.…

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Q: O Begin with the graph of y=e. Use transformations to graph the function below. Then determine its…

A: use the property of scaling shifting time to find the graph using this curve find  domain range…

Q: [ 8®in}x sin 3 xdx (Ans: 3/8 sin²x In 8 + C) Hint: Use 2 sin cos 0 = sin 20

A: To evaluate the integral

Q: Find div F and curl F if F(x, y, z) = 6evi-3 cos y j + 4 sin² z k. div F= curl F=

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Q: Evaluate the integral [(4x + 15y)da + (6x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

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Q: Find the curvature K of the curve, where s is the arc length parameter. r(s) = (5 + s)i + j K =…

A: We have to solve and find the curvature  K

Q: Question particle moves along a line with a velocity v(t) = -2t +5, measured in meters per second.…

A: Given the query is to find the total distance moved by the particle.

Q: f(x, y) = 9 X 9+y

A: Partial derivative problem

Q: 11 sin (0) cos³ (0) + 3 cos (0) do

A: Our Aim is to evaluate the integral given below:-∫11 sin θcos3 θ+3 cos θdθ -(i)

Q: Compute the length of the curve where 0 ≤0 ≤ T. x = 2 cos² 0, y = 2 cos 0 sin 0,

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