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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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

A: (-1)1/2= i

Q: A particle moves along the x-axis such that at any time t 0 its position is ax(t), its velocity is v…

A: The velocity of a particle at any time t is given as: vt The acceleration of a particle at any time…

Q: Calculate the cross product. (Use symbolic notation and fractions where needed.) (i + j) × k =

A: (i+j)×k

Q: Find the function satisfying the differential equation f'(t) – f(t) = -2t and the condition f(2) =…

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Q: c) Find the exact lenght of the curve y = 100x – 100 between on the interval 0 < x < 11/2 Answer:

A: We can find the arc length as below.

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

A: This is a problem related to vector calculation. Based on the general formula and concept we will…

Q: Hazel is 24 and wants to retire at age 62. She deposits $1,100 at the end of every 6 months into a…

A: We have to find how much money does she have in the fund when she retires, size of the monthly…

Q: Use the method above to find the distance from the point P(-3, 1, 2) to the line through A(1, 1,0)…

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Q: All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a…

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Q: Problem #11: Consider the following function. h(u, v) = u³ + 24uv + 12v² (a) Find the critical…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. x² + y? + z? = 26, (1,…

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

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: 1 0 0 A = -1 2 0 1 0

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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…

Q: 5x +2y -9z 44 -9x -2y +2z 11 6x +7y +3z =5

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Q: Compute the following limit if it exists. -3x-18 lim x-6 Select the correct choice beiow and fill in…

A: L’hospital’s rule   limx→cfxgx=limx→cf'xg'x     Here,  limx→6x2-3x-18x-6      =limx→62x-3…

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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Q: Solve the initial value problem dy 9(t + 1) – 6y = 18t, dt for t > -1 with y(0) 11. y =

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Q: The gradient vector for the surface xy + xz + yz = 1 at the point (1, 1,0) is (1, 1,0).

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Q: 1 let w = f(x, y, z) = Vx²y+y² z+z²x and x = 3st, y = 4st, z = 2st. a) Find ow dx dw b) Find dt and…

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Q: 1. 2,5,8,11,14,.... 2. 50,43,36, 29,....

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Q: 2. Let Ā and B be nonzero vectors. Find k e R such that B – kĀ is orthogonal to Ā – B.

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Q: Find three real numbers x, y, z whose sum is 6 and the sum of whose squares is as small as possible.…

A: Suppose the numbers are x,y and z which sum is 6. So, g(x,y,z)=x+y+z-6=0...(1) And, whose sum of…

Q: : Find the volume of the solid obtained by rotating the region bounded by the curve y= -x²+ 10 and y…

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Q: Determine whether the following matrix is invertible by finding its determinant. 4 -14 -56

A: Consider the matrix 14-14-56

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: lecture(12.4): Here are the final grades for the students who took STAT683 last semester.…

A: The mean of data N number of data x1, x2, x3, ..., xN is μ=x1+x2+x3+ ... +xNN The standard…

Q: Evaluate the expression under the given conditions. 8 O in Quadrant I 17 tan(20); cos(0) Need Help?…

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Q: 9xdx 1 9xdx D=

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

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Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: First we will find the equation for revenue.

Q: Evaluate the integral of the volume of the solid formed by revolving the region bounded by x² + y =…

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Q: The population A (in thousands) of Atlantic City in 2014 was 39,521. In 2018, the population was…

A: The population A in thousands of Atlantic City in 2014 was 39,521. In 2018, the population was…

Q: 6-X Find the absolute extrema if they exist, as well as all values of x where they occur, for the…

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Q: dy х+3у. dx 2х

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Q: in lim n' In n→∞ n!

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Q: Find the limit. 6x + 2 lim e 6x+ 2 =(Type an exact answer in terms of e.)

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Q: The rate of proliferation (that is, reproduction) for the cells in a tumor varies depending on the…

A: Here,             We have given  the rate of proliferation for the cells in a tumor varies depending…

Q: Function Factors f(x) = 2x3 + x2 – 5x + 2 (x + 2), (x – 1) (a) Verify the given factors of f(x). (x…

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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: 3: Find all the second-order partial derivatives of the functions a) f(x. y) = x + y + xy

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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: The cost of producing q units of a good is C(q) = 50q + 500, and the firm sells q units at p(q) =…

A: C(q)=50q+500 and p(q)=500-2qTo Find:a. Determine the approximate change in profit when quantity sold…

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. tan(x) 12 x in Quadrant II %D sin(2x)…

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Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

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Q: 4. Given the function f(x) = x² - 6x + 9, show by IVT that there is/are c on [-3,3] such that f(c) =…

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Q: てキ

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Q: Use the given graph of f to find the following. (Enter your answers using interval notation.) -2- 2…

A: Let's find.