Convert the point (x, y, z) = ( − 3, − 1, 3) to cylindrical coordinates. Give answers as positive - values, either as expressions, or decimals to one decimal place. (r, 0, z) =

Q: r(t) = (6 - 2t)i + (2t − 9)j + (9 + t)k A) T T = -3i+j+ ¹ k C) T = ²i-i-1 k B) T = -3i+j+ ¹ k D) T =…

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Q: r(t) = sin 3t i + eVtj A) t≥0 13 B) t > 3 D) All real numbers

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Q: Learning Target IF1: I can correctly differentiate and antidifferentiate exponential functions. 1.…

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Q: itz Benjamin buys a car costing $11800. He agrees to ake payments at the end of each monthly period…

A: Principal, P=$11800 Interest rate, i=4.8% Compounding frequency, m=12 Time, t=6 years.

Q: Evaluate S F · dỡ where F = (z, 4y, 2x), and C is given by r(t) = (t, sin(t), cos(t)), 0 ≤ t ≤ ñ o

A: F→=z,4y,2x and C is given by r→t=t,sint,cost

Q: Evaluate 4 [^3(3²) + 3(1²) dz =

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Q: Show your work and explain how to determine the domain of the function f(x) = log(x+1)√2-x.

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Q: Use a transformation of the graph of y=x* to graph the function. h(x)=4-(x-2)4

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Q: Find the monthly house payments necessary to amortize an 8.4% loan of $186,400 over 20 years.

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Q: 24.  a. Eliminate the parameter and write an equation in rectangular coordinates. ? = 4 sin ? and ?…

A: The given polar coordinate system is:x=4 sinθ       and        y=-4 cosθ

Q: 1. Find the inverse Laplace transform for the following Y(s): Include all steps: S-2 (s²-s-2)

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) =…

A: To solve the following problem using mean value theorem

Q: Find the volume of the solid obtained by rotating the region enclosed by the curves y = 17- x, y =…

A: y=17-x         .....1y=7x+9         .......2x=-1  Find the volume of the solid obtained by rotating…

Q: The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern…

A: let x = number of sections of ancient historylet y = number of sections of medieval historylet z =…

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + ,[0.2,…

A: Given: f(x)=x+1x We are required to: Find the absolute minimum value and absolute maximum value of…

Q: Find the area of the shaded region. f(x) = 20x-x²-x³, g(x) = 0 The area is SCHICH (Type an integer…

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Q: Convert the point (x, y, z) = (2, 2, 4) to spherical coordinates. Give answers as positive values,…

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Q: Evaluate ay² ds where C'is the right half of the circle æ² + y² = 16

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Q: Find the slope and the equation of the tangent line to the given curve at the point corresponding to…

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

Q: Linear system of equations are two equations. Each can be graphed as a line.  What is solution of…

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Q: Find the definite integral: +1 O to. 10 3 O b. 20 3 dx O c. 19 3 O d. 1.7

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Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 6y^2 and x…

A: I am going to solve the given problem by using some simple calculus to get the required result. The…

Q: Find the future value of this loan. $10,590 at 5.9% for 10 months

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Q: When an initial amount of money, A, in dollars, is invested into an account that earns interest…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. kindly repost…

Q: Evaluate: Lim X4R A. Undefined B. 3/5 C. D. Infinity Zero 3x-2x²+7 5x3 +X-3

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Q: Use the Divergence Theorem to compute the net outward flux of the field F= (-2x, 3y,4z) across the…

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Q: 8. At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you…

A: NOTE: Refresh your page if you can't see any equations. . here we have FV=1 million= 1000000…

Q: Calculate[ri(t) r2(t)] and[ri(t) x r₂(t)] first by differentiating dt dt the product directly and…

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Q: Find the mass of a lamina bounded by y = 3√√x, x = 9, and y = 0 with the density function o(x, y) =…

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Q: Find the surface area of the part of the plane z = 7+ 4x + 3y that lies inside the cylinder x² + y²…

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Q: Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0, 4]. 8…

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Q: Evaluate xyªda + a²dy, where C' is the rectangle with vertices (0,0), (6,0), (6,2), and (0,2)

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Q: nd√ √ √ √ ² ² E Find z dV, where E is the solid tetrahedron with vertices

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Q: Kira, Deon, and Jim sent a total of 132 text messages over their cell phones during the weekend.…

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Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

A: ∫CMdx+Ndy=∫∫R∂N∂x-∂M∂ydA

Q: Please solve question 9. Thank you.

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Q: Find the gradient vector field of f(x, y) = ln(18x + 2y - 5).

A: Given: f(x,y)=ln(18x+2y-5) We are required to find: Gradient vector field of f(x,y)

Q: The graph shown is f(x) = sinx-1. \f g(x) = √ ² ƒ If -√²* f (t)dt, find g' (-T). 0

A: f(x)=sin x-1

Q: After drinking a cup of coffee containing 100 mg of caffeine, caffeine leaves the body at a rate of…

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Q: ime t is given by a = t and the radius of curvature at time t is

A: Tangential component aT=v'(t) Normal Component aN=1ρ(v(t) )2   Given question  aN=t1ρ(v(t))2=t…

Q: 35. Prove that f(f ¹(B)) C B.

A: To prove the following

Q: the volume of the solid generated by revolving the re y=x² + 3 y=-x² + 2x + 7 x=0 x=3 232 3 x

A: We shall use disk method to evaluate the volume

Q: Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save…

A: We have to find the matrices P&D.

Q: Road turn having the shape of the plane curve (x - 1)² + (y + 3)² = 500 7 (where x, y are measured…

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Q: Find the center of mass of a lamina as pictured below, with inner radius 3 and outer radius 6, with…

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Q: Form a polynomial f(x) with real coefficients having the given degree and zeros. Degree 4; zeros:…

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Q: 1. The first term of a geometric series is 2. The sum of the first two terms is 7, and the sum of…

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Q: Use the power series 1 1 + x = (-1)^x", Ixl < 1 n = 0 to find a power series for the function,…

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