Find the directional derivative of f(x, y, z) 2y at P(5, 2,-4) in the direction from P to Q(4, 3, -3). NOTE: Enter the exact answer. Duf

Q: Find the location at t = 3 of a particle whose path satisfies dr 14t 4 dt (t + 1)² r(0) = (8,5) (Use…

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Q: Find the location at t = 3 of a particle whose path satisfies - (1- dr 7 14t 2t – 4 dt (t + 1)² r(0)…

A: To find the location at t=3 of a particular whose path satisfies.

Q: 5. If f(x) = 2x² + 3x + 5, f(c) = 20, and the interval is [0,5], use the Intermediate Value Theorem…

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Q: Consider the points A(1, –1,4), B(2, –3, 2), C'(-1,–2,2), and D(4,3, -6). (a) Find the volume of the…

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Q: Evaluate. (Be sure to check by differentiating!) 1 dx, x# - 3 + 3x 1 dx = 9+ 3x (Type an exact…

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) x²…

A: The given curves are y1=x2+2x+5  &  y2=2x+15

Q: . Prove the following using the epsilon-delta definition of a limit. b. lim x² = 4 X→2

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Q: Find the parametric and symmetric equation for the satisfying the given condition. 1. Through the…

A: Given : Equation of plane is y+3x-6z=8i.e. 3x+y-6z=8   To Find : Parametric and symmetric equation…

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

A: Given problem:- 1. The demand function for an electronics company's stereos is D(q) = 228.4-18q and…

Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: 3. x'sec?ydy – (1– 2x²tany)dx = 0

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Q: A tank contains 200 gal of fresh water. A solution containing 5 Ib/gal of soluble lawn fertilizer…

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Q: Integrate the following differential and determine the constant of integration: dy/dx = 8/x which…

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Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t x = 7 – t, y = 7, z =…

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Q: ences have the following generating

A: We have to choose the correct options from the given options according to the given information

Q: th Write a formula for the n"" term of the geometric sequence. 5, 10, 20, 40, ...

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Q: To test this series for convergence 4" - 1 1 You could use the Limit Comparison Test, comparing it…

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Q: Which of the following definite integrals are equal to lim 5k `sin –1+ ? n00 k=1 n n I. sin æda II.…

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Q: Ans: y' + y2 - y = 0 ae* 5. y= 1+ae*

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Q: 3:30 A3. If y = e2x+5 then y' = %3D LA) 2e2x+5 (b) e2x+5 (c) 5e2x+5 (d) e2

A: Given query is to find the derivative of the expression.

Q: 2x 2x Find the absolute maximum and absolute minimum of the function f(x) = - 1 over the interval…

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Q: The solution is y = (Type an expression.)

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Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

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Q: Differentiate the following functions. eX+e=* y D .y= 2

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Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 6j as…

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

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Q: The supplement of an angle is twenty degrees less than four times the angle. Find the measure of the…

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Q: 4y 1. Find all values of x such 49. Let F(x, y) = 2xy + 3x that F(x, x) = 0. %3D I

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Q: sin t 11) dt (5 + cos t)6 A) (5 + cos 5 + C B) (5 + cos t)5 +C 1 7(5 + cos t)7 D) 5(5 + cos + C

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Q: 4 - Find an equation of the Planc perpendicular to each of the planes X-y +2=0 and 2x ty - 4z -5 =0…

A: A detailed solution is given below

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

A: This question can be solved by applying the concept of vector of magnitude x in the direction or in…

Q: 59. Let f(x, y) = x². %3D (A) Explain why the cross sections of the surface z = f(x, y) produced by…

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Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: This is a problem related to series and sum calculation. Based on the available formula and method…

Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (5, 2)…

A: Given query is to fins equation of the line.

Q: A particle is moving on a straight line has acceleration a=5-3t and it's velocity at time=2. If s(t)…

A: Solution: a = 5-3t v(2)=7 s(2) - s(1)=?

Q: Find the particular solution determined by the initial condition. ds 16t2 + 5t – 5; s(0) = 100 dt

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Q: Calculate the value of the integral dx to show that it is convergent. Then, use this result and the…

A: The given integral,∫1∞1x2dx and ∫1∞x2x4+x2+1dx

Q: Solve the differential equation. dy = 5 ex-y dx Choose the correct answer below. O A. y= 5 e* +C O…

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Q: 10. Maximize f(x, y) = 25 – ² - y² subject to 2x + y = 10

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Q: 17. Obtain the family of solutions and particular solution of the homogeneous equation, y?dx + (x2 +…

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Q: = -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a)…

A: Since, you have ask a question with multiple sup-parts, as per company guidelines we will solve the…

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: Question Use the First Derivative Test to find the location of all local extrema for the function…

A: Given problem:- Use the First Derivative Test to find the location of all local extrema for the…

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

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Q: Refer to the graph in the textbook. If x screwdrivers produced in thousands, and y represents the…

A: The total cost of producing 20 thousands of screwdrivers is 20,000 dollars

Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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