Evaluate ds, C: z = t², y = t, -4

Q: Evaluate. (Be sure to check by differentiating!) √₁-7²2x dx, x= -1/1/2 1 +

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Q: Determine the center of mass in (x, y) for the lamina bounded by the graphs of the equations below.…

A: y= √(x-4) y=0 x=5 Density function= 23xy

Q: f(x)=3x²-x-2 Is the point (2,8) on the graph of f? If x= -1, what is f(x)? What point is on the…

A: Since we are given with the multiple number  of subparts and  answer will be according to the…

Q: A population of 100 rabbits can be modeled by the equation y = 100e-0.12%, where y is the final…

A: y=100e-0.12xHere y is population of 100 rabbits and x is the time in years

Q: 5. The function r(t) = (2 sin (¹), 3, 2 cos (7)) parametrizes (draws) the path of a particle moving…

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Q: 5. Find all critical points of the given function and use the second derivative test to identify…

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Q: Find the divergence of the vector field F div F = =

A: ddxxn=nxn-1

Q: Find y' if tan¯¹(xy) = 1 + x²y.

A: Formula used ddxtan-1( x ) = 11 + x2ddx( u.v ) = udvdx + vdudxddx( xn ) = nxn-1

Q: (1) f(4x³-9x² + 7x + 3)ex. dx = A) e *[4x³ + 3x² + 13x + 16) + C B) -e [4x³ + 3x² + 13x + 16] + C C)…

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Q: Find the area of the surface. The surface with parametric equations x = u², y = uv, z = -1/v²,0 ≤ u…

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Q: Find the volume of the solid bounded by the ellipic paraboloid z = 6+3z² + 4y², the planes 3 and y =…

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Q: Evaluate fry³da + zªdy, where C'is the rectangle with vertices (0,0), (2.0), (2,1), and (0,1)…

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Q: The gradient of f(x, y) = e³-² sin(4 - y) at (x, y) = (1, 3) is defined as followed: ▼ f(x, y) =…

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Q: Find the maximum perimeter of a right triangle with hypotenuse 21 cm.

A: To find the maximum perimeter of a right triangle with hypotenuse 21 cm.

Q: Find the length of the curve (t) = (et c Arc length: = (et cos (‡), et sin (#), e) for 0 ≤ t ≤ 1. =

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Q: 8 Σ -2.2"-1 n=1

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Q: Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the…

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Q: 3 3) Find x and y (they may or may not be integers) which satisfy the condition 8x+y=40 +²y=4 and…

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Q: (a) Find and evaluate the first-order partial derivatives of the function. f(x, y) = 2e³ ln(ry) (b)…

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Q: Find all the second-order partial derivatives of the function f(x,y) = 6x² + 4y + 7x²y².

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Q: Tell whether the expression is a polynomial. If it is, give its degree. If it is not, state why not.…

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Q: Let c, ax, be nonzero real numbers such that e. Find a given that ac² n=3 16 Ch Türkçe: c, a, 3…

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Q: Evaluate So² Tyds where C is the right half of the circle x² + y² = 4 C

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Q: Consider the function f(x) = ax(5-x) on the interval [2,3], where a is a positive real number.…

A: The function is given by fx = ax5-x = 5ax-ax2 To evaluate: The average value of the function on the…

Q: Use a graphing utility to approximate the solutions of the equation in the interval [0, 2π). (Round…

A: Find the solution of the equation 4sin(x) +3 cos(x)=0 in the interval [0, 2pi).

Q: An asteroid of mass 1.6×105 kg, traveling at a speed of 30 km/s relative to the Earth, hits the…

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Q: Find all critical points of the given function. f(x,y) = 2x² + 4y² + 2xy + 56x+8 ... Select the…

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Q: Question 10 Evaluate zydz +2^dy, where C' is the rectangle with vertices (0,0), (2,0), (2,3), and…

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Q: For the function f(x,y) = x+³xy, find fx and f.

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Q: (i) Use P.F.D. to compute the following integral, (ii) S What is f'(0)? 5x − 3 (x + 6) (3x - 1) dx…

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Q: X (4) The value of f sec¹ x tan x dx is A) tanx + tan x 6 + C B): sect x sec x 6 4 4 .dx we…

A: (4).We have to find the value of integral:  ∫ sec4(x) tan3(x) dx

Q: At time t, the position of a body moving along the s-axis is s= -1³ +121²-45t m. a. Find the body's…

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Q: A lamina with constant density p(x, y) = 6p occupies the given region. Find the moments of inertia…

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Q: Find the critical point of the function f(x, y) = − 5 + 2x + 7x² + 7y + 3y²

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Q: The goal here is to directly evaluate x² y² 16 4 First, determine a parameterization for C: r(t) = (…

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Q: A triangle is defined by the three points: A = (10,4) B = (3, 2) C = (8,5). Determine all three…

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Q: A boat is traveling at a bearing N33°W at 42 mph. There is a current against the boat at a bearing…

A: A boat is traveling at a bearing N33°W at 42 mph. There is a current  against the boat at a bearing…

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. + 170x² + 169…

A: We have to find the complex zeroes of the given function.

Q: Calculate n Sn = ₁² = 1² + 2² + 3² + ... + n² i=1

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

Q: Solve indefinite integral with steps: sin5x*cos((2x)/5)

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Q: h=1 3-7 Sh Use the limit Comparison test, comparing it to the series. 1-4 Zrn where r= ? n=1…

A: NOTE: Refresh your page if you can't see any equations. . use the comparison test Let  0≤an≤bn If…

Q: 4. Find the volume of the solid in the first octant bounded by the coordinate planes, the cylinder…

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Q: Use Green's Theorem to evaluate [F(r) dr с

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Q: r(x)=5x/x+6 , Find the horizontal asymptotes. Find the vertical asymptotes. . Find the oblique…

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Q: Consider the vector field F = F(t) = t²i+t³3 0 Evaluate 1² F. dr along the curve C:

A: To solve the following

Q: 2) Compute the integral of f(x, y) = (In y)¹ over the region D: D bounded by the curves y = e, y =…

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Q: New folder Canva a Amazon Seller i News View my existing or... If there is no solution, enter '0' in…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: A plane flies at a constant groundspeed of 400 miles per hour due east and encounters a 50-mile-per-…

A: Plane flies at a constant speed of 400 miles per hour due east. Then the vector corresponding to…

Q: Find a parametric representation for the part of the cylinder y2 + z² = 4 that lies between the…

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