Find an equation for the plane through the points (3, 4, 33), (2,1 -2), (0, 1, –1). The plane is

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Q: Write an equation for the polynomial graphed below 5 4 3 1 2 -1 -1 2 3 4 5 -5 -4 -2 - -3 -4 -5 +…

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Q: 27. f(1) = 1 + e*i 28. f(1) = r² - e- + 5 29. f(1) = (1 + e²)2 30. f(1) = (e' – e¯)? 31. f(1) = 41²…

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Q: Write the sum 5 + 15 + 45+ + 1215 using sigma notation. ... a1(1 – r") - Then evaluate the sum using…

A: Solve the following

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A: answer is in next step

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Q: 1. Evaluate: f(x) = S- dx %3D 3D 0 14x2

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Q: Related Rates A rock is thrown into a still pond. The circular ripples mové outward from the point…

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Q: 20. Find f2x/(5x-3)dx

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Q: VII. Use Lagrange Multipliers to solve the following: Maximize f(x, Y, z) = 4x + 2y + z %3D subject…

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Q: Decide from the graph whether a limit exists If a limit exists, find its value. lim F(x) X→1 What is…

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Q: Evaluate the following integrals: 1. S(cos x + csc² x)dx 2. S(tan x + sec² x)dx 3. S(1+sec²x)dx 4.…

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Q: cos vx cos(sinvx) dx

A: Given query is to find the value of the integral.

Q: Problem 9 Compute the derivatives of: (a) f(x)= e6z²+3z (b) g(x) = r°e² (c) h(x) = In(3r“ + 2x)

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Q: 6. Vector, scalar or meaningless? Explain. ») (ä - 5) + (7 - E) b) (å x 5) – (¿ x đ) c) dlã x )

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Q: Complete the sigma notation for this series: 4 + 9 + 14 + . ...+ 294 + 299 n=1 A =

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Q: To find two real numbers whose sum is 23 and whose product is maximum, we should find the maximum…

A: sum of number is 23 let a number = x  other number is 23 - x

Q: I. Find the general solution of the following: dy 2x 1.- dx y dy 2. xy dx 3. dy = (6e3x+ 1)dx

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Q: Determine whether each sequence having the given nth term is monotonic. a. a, = 3+ (-1)"

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Q: QV Optimize the function Z = xị + xị Subject to: x1 + x2 = 4 x1, x2, 20 Using Lagrange multipliers.

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Q: [5]. Calculate the exact values of the following definite integrals. Srsin(2.x) dr (a) o dx x² - 4…

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Q: 12. Evaluate: 212-3V+1 (a) (d) / sec (2) / (b) / sec (20) de dr 1 (e) rVI-1 dr dr 16+9r2 (c) sin t…

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Q: problem

A: We have to find the value of the given following conditions according to the given information

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Q: 1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2.…

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Q: 2. Determine a•5 for each of the following a) å = (7, -3,5)andb = (-5,11, -2) 3. Determine the angle…

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Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: Given:   f(x) = 7x+1    ,  a = 5

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Q: Use trigonometric substitution to find or evaluate the integral. (Use C for the constant of…

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Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the lin…

A: Given: Q=0,-2,10l1:x=1, y=2t-3,z=5-t

Q: Find all the derivatives of the following functions f (x) = x° + 4.x² + 3x³ – x² + 6 5 1. 1 g(x) :…

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Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x -1 X-1 a. Find lim f(x) or…

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

Q: dy if y =t! and t=Vx Fin d

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Q: x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and…

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Q: Given the geometric sequence 31, 31/8,31/64 find an explicit formula for an find a7 please show…

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Q: 2. Let A = (1,0, 1) and B (0, 1, 3). Solve for projaB. %3D

A: We have to find projection

Q: Find the nth term of the given infinite series for which n= 1, 2, 3, ... 1 1 +... 2x6 3x7 4x8 5x9 an…

A: Given 12×6-13×7+14×8-15×9+.....n is from 1,2,......... to infinity