Find u and v if u+4v = 4i - k and 6u - v=i+j+k. NOTE: Enter the exact answers in terms of i, j and k. u || =

Q: For the following vector field, compute (a) the circulation on and (b) the outward flux across the…

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Q: 2) Prove the principle of superposition for a homogeneous second order constant coefficient ODE of…

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Q: Find dy/dx in terms of x and y if arcsin(x¹y) = xy¹. dy = dx

A: Solving the following problem

Q: Evaluate each integral. fæcos x cos(5x) dx

A: Integration by parts rule

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Q: The region in the first quadrant between the x-axis and y = x² from x = 0 to x = 4 is rotated about…

A: The answer is in step 2.

Q: Using the Inverse Function Theorem, what is (h−1)′(5) given that h(x)=−2x+14/−x−5? Note that…

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Q: Labs Find the minimum cost of a rectangular box of volume 100 cm³ whose top and bottom cost 4 cents…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given specified axis. 6…

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Q: 10. S 1 x²+2x dx

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Q: 7) Use the method of Undetermined Coefficients to solve y) +2y"+y = 3 sint - 5 cost. You can use…

A: Please see the below picture for detailed solution.

Q: Let x be the length of a side of the rectangle perpendicular to the shoreline. Write the objective…

A: let  length of  rectanglular area be  x  and  width be   y let  shoreline  is along length of area…

Q: Consider the following series. 00 n = 1 1 x0.6 Evaluate the following. [ Use the Integral Test to…

A: We want to find the convergence of the given series of using integral test.

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A: To identify the slope of the tangent line, and to determine the  equation of the tangent line to the…

Q: Find y as a function of x if y" - 7y" +12y = 18e", y(0) = 25, y'(0) = 26, y'(0) = 25.

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Q: 37 4 S 7 9 cot8 0 csc²0 de

A: ∫π43π49cot8θcsc2θdθ

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2x+21 2.9x+18 In In…

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Q: Find the following limit. 25√√x - √√x 3³√√x +3¹/√x lim X→ ∞ 3 lim x→∞ 2³√x - √√x 5 3√x + 3√x 11 co…

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Q: Indicate whether each statement below is true or false. (a) If the graph of an equation passes…

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Q: Graph the function f(x) are -2, 0, and 1. -3 -2 -1 = 10+ 9 8 7 6 5 4 3 2 + --+ -2 -3 -2x² and draw…

A: Given:    fx=-2x2 when x=-2     f-2=-2-22               =-8 when x=0     f0=-20=0 when x=1…

Q: A function f is defined for all x. Use the raph of f' to decide: a) Over what intervals is f…

A: Here we have to observe the graph.

Q: Find: U(x1, x2) = 2X1X2 O X1X2 2x1 2 2x2

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Q: t After a patient takes a medication the amount of drug in the bloodstream (in my per L) after +…

A: A=20e-0.35td dt(et)=et

Q: Write an inequlity comparing n²-3 n5 +3 (Express numbers in exact form. Use symbolic notation and…

A: Comparison Test: Suppose we have two positive term series ∑n=0∞an  and ∑n=0∞bn such that an≤bn for…

Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

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Q: EC2: Verify that y₁ = 2³ and y., = |aare linearly independent solutions of the differential equation…

A: Two solution are said to be linearly independent if neither function can be put as a constant…

Q: Maximizing Profits The management of the producers of a famous hot sauce estimate that their profit…

A: To solve the following problem and find the largest possible profit the producers can make in 1 day

Q: By considering different paths of approach, show that the function below has no limit as…

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Q: 4 ¹ / ( - 6x² + + 6 - ¹ √e) de dx x6 Find + C

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Q: IP 4-91/2 I |

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Q: -Find the directional derivative of f(x, y, z) = x²yz+z³y, as you leave the point (1,1,1) heading in…

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Q: 7. S tan3 Ꮎ cosᏎ Ꮎ - dᎾ

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Q: Give the derivative formula for the function. f(x) =  6x2−3                 3x

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Q: x 17. f. 1+2 dx -∞1+x² 18 1 dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 104d² 3d² + 7 A company that makes bicycles has determined that a new employee can assemble M(d),…

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Q: etermine the absolute extrema of the function f(x) = (x - 3)e terval -2≤x≤1. on the

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Q: A university is trying to determine what price to charge for tickets to football games. At a price…

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Q: Find the first derivative of f(x) ƒ'(x)= = 8x + 10 19 x

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Q: 18. Sőt dx √1-x²

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Q: Find u and v if u+6v = 6i- k and 3u-v=i+j+ k. NOTE: Enter the exact answers in terms of i, j and k.…

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Q: sides of the box costs 20¢/ft2. Find the dimensions of the least expensive box that can be…

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Q: Find and classify all critical points of f (x, y) = ax^n + by^n where ab cannot equal 0 and n ≥ 2

A: Given function is f(x,y)=axn+byn,  a,b≠0 and n≥2

Q: hoice as needed.

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Q: Consider the function f(x) = 4x² - 4x4.

A: Given, f(x)=4x2-4x4

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(10 − 0.0003x)x-700 + 8x +…

Q: x(t) Find the point at which the line y(t) z(t) = = -4-3t -8-5t intersects the xy plane. 4 - 6t

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Q: Question 6 Determine the center of mass (x, y, z) of the homogeneous composite solid with a…

A: Determine the center of mass?

Q: Consider the circle drawn in the xy-plane with center point (-5, 12). (x,y) (a) Determine the radius…

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Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

Q: Find (5 cos(x) + 6 sec²(x)) dx (5 cos(x) + 6 sec²(x)) dx = +C

A: Integration