Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provided round brackets.. (a) Oppositely directed to v = (19, – 14) and half the length of v. w =|(?,?) (b) Length v5 and same direction as v = (1, 0, -3). (?, ?, ?) W =

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A: Divide the polynomial by x+2 and simplify it.

Q: On a sketch of y= e*, represent the left Riemann sum with n = 2 approximating ff e dx. Write out the…

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Q: 3. Find Power Series Representation of f (x) around c=0. %3| a) f(x)= and 1-x b) f(x)= (1–x)

A: Solving

Q: points

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A: Solution is given below...

Q: Demand for a certain kind of SUV obeys the following equation, D(x, y) = 21,000 –Vx – 13(0.9y –…

A: Here, the given function of demand is: D(x,y)=21000-12x-13(0.9y-10)32 where x is the price per car…

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Q: Find f. f"(x) = 48x2 + 2x + 6, f(1) = 5, f'(1) = -4 %3D %3D f(x) = %3D

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Q: onsider the following function. f(x) = x2 - 8x (a) Find the critical numbers of f. (Enter your…

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Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex/7…

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Q: Evaluate the expression under the given conditions. 3 sin(0/2); tan(0): O in Quadrant IV (assume 0 <…

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Q: 5. Use 1 mile = 5280 feet to solve the problem below. * %3D Two people are looking up at a…

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Q: 5: Evaluate dw/ dt at the given value of t, by using the Chain Rule and by expressing w in terms of…

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Q: x' - 4x? 13. By partial fraction decomposition, the integral - dx can be written as (r + 1)°(5x² +…

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Q: Find by implicit dlitferentiathin; That the tangent to the eclipse x =1 at point (torY%) is LoX + Yo…

A: The slope of the curve at any point (x0, y0) is : m = f'(x0, y0)     The equation of a line in slope…

Q: 12 f (x)

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Q: Determine the volume of the solid generated by revolving the region bounded by y = x2 – 4x + 5, the…

A: The given curves are; y=x2-4x+5, x=1, x=4, y=0 x-axis From the given curves the bounded region is as…

Q: Evaluate the integral 1 12 3x (x - 1) dx 0.

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Q: 1. (a) Find the Taylor series of ln(x) about a for a > 0. Your answer should be in sigma notation.…

A: The taylor series for ln(x) about a for a&gt;0

Q: : If a linear system has the augmented matrix 1 3 1 -2 0 Then x1 = 0, x2 = 0, x3 = 0 is a solution…

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Q: 1. y=e

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Q: Find the volume of the solid generated when the region enclosed by y = Vz +1, y = V4x, and y = 0 is…

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Q: A fish tank initially contains 40 liters of pure water. Brine of constant, but unknown,…

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Q: (12 Use differentials to est imate fl-2.01) it fCx): x/T-x.

A: We need to find differential estimate. NOTE- As per Bartleby's guidelines we can only solve one…

Q: Solve the following equations over the given interval. 1) 4 cos? x-3 = 0 over [0°, 360°) 2) sin?x +…

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Q: 4. If ) Cn (x + 2)" converges for -5 < x < 1, find the radius of convergence of the series. n=1

A: ∑n=1∞cn(x+2)n Since series convergence for -5&lt;x≤1Then Interval of convergence is (-5,1]Let R be…

Q: Find the Taylor series expansion for the following function about c = 1 1 f(x) = 1+2x

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Q: Write the quotient in standard form. 3 5 – 9i

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Q: Find the inverse of f(r) = log, (3z + 1) +2 %3D

A: Find the inverse of f(x)=log43x+1+2

Q: V8x 1. S V³ ++ dx V4x2

A:

Q: Write the complex conjugate of the complex number. 6 + 5i Multiply the number by its complex…

A: Given: Complex number 6+5i

Q: Test for convergence or divergence, using one of the tests listed below. 4 n3 - 343 n = 8 O…

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Q: Use Theorem 9.11 to determine the convergence or divergence of the p-series. 1 1 + 1 1 1 16/2 * 81/3…

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Q: Determine the total differential (dg), and total derivative with respect to x 3x 2y g f(x, y, z) 3D…

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Q: 1. Prove using vectors that the points (4, 3, 0), (2, 0, 1), (4, 1, -1), and (2, 2, 2) are the…

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Q: Find det A by expanding about the first column. State whether A -1 exists. - 1 -1 -4 A = det A =…

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Q: 8x Find the power series for f(x) = in the form an. (1- x*)? n=1 Hint: First, find the power series…

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Q: A young superhero mixes up a batch of goo they can use to fight crime. The recipe for the goo…

A: W be the amount of water C be the amount of cola A be the amount of alcohol

Q: Evaluate the integral. 2x´dx 4 5.

A: ∫452x2dx

Q: Your answers from smallest to largest 0. If an intersection occurs at the pole, enter POLE in the…

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Q: Find all points of intersection of the given curves. (Assume 0 ≤ ? ≤ 2? and r ≥ 0. Order your…

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Q: Find a power series representation for the function and determine the radius of convergence. 3 6.…

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Q: 5. If y = ax"+1,n # -2, then which of the following is equal to ſ ydx? %3D axn+1 А. + C n+1 С. axn+1…

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Q: Find f. f"(x) = 6 – 6x – 60x³, f(0) = 2, f'(0) = 3 %D f(x) = %3D

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Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

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Q: Write the complex number in standard form. -18 + V-50

A: (-1)1/2= i

Q: Find the direction in which the function is increasing most rapidly at the point P0. f(x, y, z) = xy…

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Q: Let A = {2, 3, 4, a, b, t}, B= {4,2, 3, 6, t, c}. Then the cardinality |AN B|is %3D Select one: O 6…

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Q: Use the First Derivative Test to find the local maximum and minimum values of the function. y = 2x2…

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Q: Find D in the partial fraction decompositon 12x2 -8x+40 Cx+D + x² +9 B (x-4)(x2 +9) X-4 O 9 O 7 O 10…

A: