= Given vectors a = (1, 2, — 3) and b as a linear combination of a and b. (-5, 4, 3), write vector c = (17,- 8,- 15)

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Find the derivative of the given functions using the Differentiation Rules. 2. g(x) = x3-5x²+6x+1…

A: Rule of derivatives

Q: Evaluate the following double integral over the region R by converting it to an iterated integral.…

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Q: For y = f(x) = 6x-1, x = 2, Ax = 2 find the following: Ay for the given x and Ax values: dy = f'(x)…

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Q: 10 9 8 7 6 5 4 3 2 + 100 1-2 33 4 -5 -6 7 -8 -9 -10 The graph shows y = g(x), and we define w(x) = -…

A: Using the given graph, we can find the greatest, least and in between values out of the given terms.

Q: Use a linearization, or differentials, to approximate the value of $7.95.

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Q: In(x¹0) lim 818 14x

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Q: A Norman window is made up of a semi-circle and a rectangle. The total perimeter of the window is 16…

A: A Norman window is made up of a semi-circle and a rectangle. The total perimeter of the window is 16…

Q: A rock is thrown off of a 100 foot cliff with an upward velocity of 50 m/s. As a result its height…

A: A rock is thrown off of a  foot cliff with an upward velocity of . As a result its height after…

Q: Consider the function f(x)=x√ x² + 25. Enter the number of critical points/numbers of f(x).…

A: The given function is,

Q: Which of the series below diverges using the Divergence Test? Select all that apply. Ξ - #Σ k=1 Σ…

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Q: Evaluate the integral. √5x+8 dx x³ O a. 81nx + 5tan-¹x +C Ob. 4 +² O c. 4lnx + 5tan-¹x-81n(x²+1)+C O…

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Q: Which of the following is an even identity? O tan(8) = sin(8) Cos(8) O csc(-8)= -csc(8) Osec(-8)=…

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Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: A graph of the function is given.We have to find the intervals of increase and the interval of…

Q: Solve for the specified value of the following right triangle. Round your answer to the nearest…

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Q: The horizontal shadow of a vertical tree is 23.4 m long while the angle of elevation to the sun is…

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Q: Consider the planes given by the equations (a) Find a vector parallel to the line of intersection of…

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

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Q: The total monthly revenue R(x) generated from sales of Math t-shirts is related to the amount x…

A: R(x) = –6x3 + 72x2 + 50x + 90Differentiating with respect to 'x' :R'(x) = –18x2 + 144x + 50Again,…

Q: Use implicit differentiation to find y' for the curve. x² + y² = 1/4

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Q: Suppose the SECOND DERIVATIVE of a function is given by f" (x) A) Find the x-coordinates of all…

A: The second derivative of a function is given by

Q: For the demand function q = D(x): = 30x, find the following: The elasticity equation: State the…

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Q: lim x-0 sin(2x) X

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Q: 4 Complete the following implications: a. z = (x²y4 + 2)5 → da

A: As per the Bartleby guidelines, answering only first question as the other questions are not the sub…

Q: Evaluate the integral by changing the order of integration in an appropriate way. 1 1 In3 . . . ܫܪ܂…

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Q: Find all of the solutions of the equation tan²x+3 = 0 on the interval [0, 360°). Use the paperclip…

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Q: The table to the right is based on the assumption that 1% of breast tumors are malignant. It also…

A: Based on the given information,we have to find the chance of having cancer of a patient when he/ she…

Q: Two sides of a triangle are 10 m and 12 m long. The angle between them is increasing at a rate of…

A: Side of traingle are 10 m and 12 m . The rate of change of angle between the side is 0.2 rad/sec .We…

Q: 15. The radiation level "R", in a particular area of a nuclear plant, for a 12hr. interval is given…

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Q: In a 90°-30°-60° triangle, the shortest leg is half of the hypotenuse. True False

A: We have to find whether given statement is true or false.

Q: (ƒ') et dr 7+e²x

A: Given Indefinite Integral

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral…

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Q: A person stands on top of a 300 ft building and spots a person on the ground below. The angle of…

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Q: Consider the linear system with 4 variables depending on the read parameter LER: (z-t=0 2x+2y-e+t=4…

A: Three equations are givenz-t=0        .....(i)2x+2y-z+t=4     .....(ii)x+y=k       .....(iii)

Q: A person stands on top of a 300 ft building and spots a person on the ground below. The angle of…

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Q: Find the value of sec 8 for the triangle shown below.

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Q: Consider the function f(x) = 3x + 5 X +3. Enter the number of critical points/numbers of f(x).…

A: Given;

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2100 yd…

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Q: 14 Draw each position vector. Then find its magnitude a) [-6, 3, 7] [6,5,-2] X +Z +Y * Y -Z N +Z +X

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Q: Find the consumer surplus for the given demand function and sales level. (Round your answer to two…

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Q: 1 (x² + a²)²° -dx

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Q: (13) Draw vector AB joining each pair of points. Then write the vecter in the form [a, b, c] a)…

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Q: a. Evaluate the following determinants 10 01 1 3 5 351 513 12 3 25 7 24 6 8 0 0 12 5 4 9 b.If A + X…

A: We are required to find:

Q: Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the…

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Q: 37. lim tan x-1 πχ. (3) ln x

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Q: Esc 83°F Mostly cloudy F1 Which of the following is an even identity? ! 1 O csc(-8)= -csc(8) O…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. v(t) = 3t…

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Q: 8. Given the following graph of f(x), for what values of x is f(x) concave down? f(x) W -2 -1 1 2…

A: We have to Determine the interval of concave down.

Q: Determine the vector equation of a plane that contains the line with symmetric x+3 equation *+-+12+2…

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Q: A plane travels N45°E at an airspeed of 1000 km/h. Measurement on the ground shows that the plane is…

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