Find V. (Fx G), if F(x, y, z) = 4xi+j+13yk and G(x, y, z) = xi + yj – zk. V. (Fx G) =

Q: Use Theorem 7.1.1 to find {f(t)}. (Write your answer as a function of s.) f(t) = (t + 1)³ L{f(t)} =

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Q: Which equation of a circle has the center, C, and radius, r, as shown in the graph? -3-2 7 T of 7 T…

A: The circle has center C3,-2 and radius 26

Q: 4. an = 6n 5. a = 6. 2n+2 a = (-2)n-2n

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Q: S- - ydx + xdy, C: y² = 3x from (3,3) to (0,0) 01 0 3 O 0 2

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Q: 4. Consider the function f(x) = 3, a) Evaluate lim ƒ(x) and lim_ f(x). x-0+ x-0- c) Is f(x)…

A: Let's solve limit problem.

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: Find the limit lim x →∞ √1+ 2x + 9x² -2x + 5

A: This question is related to limits, we will solve it using given information.

Q: 4. DETAILS ZILLDIFFEQMODAP11 7.R.004. Answer true or false. The function f(t) = (et) 10 is of…

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Q: Let f(x) = (x³ +25)/4. The arc length of the graph of y = f(x) over the interval [6, 10] is given by…

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Q: Use the Integral Test to determine whether the sum converges. ∞     n = 1 4n 1 + n4 Evaluate the…

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Q: Convert the given exponential function to the form indicated. Round all coefficients to four…

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Q: Find the function M(x, y) such that M (x, 0) = eª and the differential equation M(x, y) dx + (sin x…

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Q: 16.s) How long it will take for $39,440 to double if it is invested at 6.1% compound- quarterly?…

A: Topic = Algebra As per guidelines , At a  time only one question can be answered.

Q: -8 -6 -4 19 4 2 19 ∞

A: Graph of the right open parabola is given, we have to find its equation

Q: 13. DETAILS ZILLDIFFEQMODAP11 7.R.016. Fill in the blank. (Enter your answer in terms of t.) ^{2²2²}…

A: inverse laplace

Q: Give the General Solution of the following Differential Equation 1. (ex+y+ex) dx = dy

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Q: Find the value (2) for a solution (2) to the initial value problem: y(lnx In y 1)dx + xdy=0; y(1) =…

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Q: Lucas is walking on a circular path modeled by the equation (x+6)² + (y-2)² = 36, and Neal is…

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Q: 768 on the interval [-20, -10]. Find the H plute extrema for the function on the given interval.…

A: * As per policy only first question is answered. Please refer to the image below

Q: What is the coefficient of the term containing x^7y in the expansion of (3x + y)^8?

A: Topic = Algebra

Q: Describe the graph of the equation. r = 18 sin 27 i+ 18 cos 2t j It is a circle of radius 18 in the…

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Q: = 2 3 +2 dx² dx -8y = 0

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Q: EN Current Attempt in Progress w Use Green's Theorem to evaluate the integral. Assume that the curve…

A: Double Integral is done

Q: Which is the center and radius of the circle given by the equation, x² + y² - 6x 10y + 11 = 0?

A: The answer as follows:

Q: A manufacturer can produce 4320 cell phones when a dollars is spent on labor and y dollars is spent…

A: Given that a manufacturer can produce 4320 cell phones when x dollars isspent on labor and y dollars…

Q: Sketch the region D of integration, and then evaluate the integral by reversing the order of…

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj mammon M T Pinnal bandill SEREN C -9 in C…

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Q: What is the symmetric equation of the line that is normal to the plane x + y + z = 9 at the point…

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Q: 2. Find the equation of the tangent to the functions g(x) = (x −4)² at its y-int. You must use an…

A: Solution:

Q: Find the curvature and the radius of curvature at the stated point ㅠ r(t) = 11 cos(t)i + 10 sin(t)j…

A: The expression for the curvature is: κ=r't×r''tr't3 And The expression for the radius of the…

Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

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Q: Find the divergence of the vector field of F(x,y,z) = sinxi + cosy j + z² k. cos x + sin y + 2z O…

A: Option C is correct. To finde divergence I used divergence formula.

Q: Determine whether the following series are convergent of divergent. If it is convergent, find its…

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Q: solving

A: Please refer to the image below

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A: Topic - Area between curves

Q: Determine if 4x² + y = -5 is an ellipse. O Not an Ellipse O Ellipse, we can write the equation of…

A: Here given that 4x2 +y =-5  now  4x2 = -(y+5) x2 = -(y+5)/4

Q: Find the exact value, if any, of the following composite function. Do not use a calculator. (-)] 16…

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Q: A deposit of $9,000 is made in an account that earns 5% interest compounded quarterly. The balance…

A: The given data is: The balance in the account after n quarters is: An=90001.0125n

Q: Consider the following. x = sin(10), y = cos(0). (a) Eliminate the parameter to find a Cartesian…

A: Given problem:- x=sin(θ/2) , y=cos(θ/2) , -π≤θ≤ π  Eliminate parameter and find Cartesian equation…

Q: Admission to a baseball game is $5.00 for general admission and $6.50 for reserved seats. The…

A: Let x be the number of general seat tickets sold and y be the number of reserved seat tickets…

Q: Determine whether the differential equation (8x² - 2xy + 2) dx + (7y² - x² + 8) dy = 0 is exact. If…

A: To solve the given differential equation

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: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: Find T(t) and N(t) at the given point. t x = e¹ cost, y = e¹ sint, et sint, z = zet; t = 0 T(0) N(0)…

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Q: Find the minimum value of the function f(x) = 2x² +18.3x + 45 to the nearest hundredth. Answer:…

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Q: 1. By eliminating the parameter t from the following parametric equations, find an equa- tion in…

A: As per the instruction, we will be answering the first one. For (a), Given: Now,…

Q: Rewrite the following 1. sin¹ (3x) = Submit Question as a sum of trigonometric functions with no…

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Q: Find the first partial derivatives with respect to x, y, and z. f(x, y, z) = 2x²y - 5xyz + 10yz²…

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Q: Find the critical point of the function. Then use the second derivative test to classify the nature…

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Q: 14. est 3 comment The critical numbers x = -7 and x = 5 are found from a continuous function f'(x).…

A: The critical numbers x=-7 and x=5 are found from a continuous function f'x f''(x)=1-x3x+6