Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(1, 5, 7), v = <2, 1, 2>

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Q: 3) Chain rule: y = (3x2 - 3x- 2)2 1/2

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Q: * f(x) = x —х+ sin(x) — 1 Solve this question by the Bisection method on the topic of solution of

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A: see below the answer and calculation

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Q: if t<B ft2B Given the function Rt) =1 t2 +1 (-2t+1 %3D Determine one value for B for which the…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x + y + z - 10, (2, 3,…

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Q: A B C D E F 1. x2 + 4y? + 9z? = 1 2. 9x? + 4y + z? 1 3. x? – y? + z? = 1 4. –x? + y – z? = 1

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Q: (a) f ry dy dx а. 13/7 O b. 27/2 Ос. 12/5 O d. 18/7

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Q: Let f(x) = x and compute the Riemann sum of f over the interval [8,9], using the following number of…

A: n=2 x 8 8.5 9 f(x) 512 614.125 729   Reimann sum using left-endpoints: ∑i=1n-1 f(xi)…

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Q: (-1)"-1 (In n)" 00 23. E n=2

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Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

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Q: (b) C x*y dx dy a, О а. 3/8 ОБ. 28/3 O b. Ос. 7/2 O d. 27/2

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Q: Given the function f(x) 3x? f(x + h) – f(x) Find the difference quotient -3(h + 2x) f(x + h) – f(x)…

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Q: 5. harmonic oscillator is The initial value problem which describes the motion of a certain undamped…

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Q: An identity matrix is represented by.... а. Нн-1 b. HH-1H O c. H-1H

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Q: For a certain bathtub, the hot water faucet can fill the tub in 12 minutes. The cold water faucet…

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Q: Evaluate the following integral by changing to cylindrical coordinates: 4–y2 3 xz dzdrdy. x²+y2…

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Q: Given ü= (3,7,-2) and v=(3,-1,0) find a unit vector perpendicular to i and v + v Paragraph I

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Q: For the periodic function: f(w)={--1 0<a<1 1 -1<x <0 x -1 0<x <1 Determine: 1. Is it Odd, Even, or…

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Q: Use the requested method to approximate the definite integral. Use the method of right Riemann sum…

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Q: Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as…

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Q: a) Suppose that f(4)=3 and f'(4)=-5. Find g'(4) where g(x)=Vx f(x) b) Let y=cosx-sin.x , show that…

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Q: finite difference du n. = 0 en 0 0; dx² - u(0, t) = u(2, t) = 0, 0 < t; %3D u(r, 0) = sin x, 0<x <…

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Q: d(x,y) . Solve the system u = 4x + 3y, v=x+4y for x and y in terms of u and v. Then find the value…

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Q: Q/ Convert the function ...... . a. to lincar. function: 1) y= ax²+ b 2 aX.+ 9. ....

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Q: The function P(t) = t2(2t + 3), can ONLY be differentiated by using the product rule. Select one: O…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Sketch the graph and show all relative extrema and inflection points. y = 12x - x3

A: Topic:- function and application of derivatives