Solve the system(calculus) [x, y, z] = [7, 2, -6] + s[2, 1, -3] [x, y, z] = [3, 9, 13] + t[1, 5, 5]

Q: The terminal side of the angle 0 in standard position lies on the given line in the given quadrant.…

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Q: - Find the absolute maximum and minimum values of ƒ (x, y) = 2x² − 4x + y² − 4y+1 on the closed…

A: Partial differentiation of the function are:Critical points can be obtained by equating both partial…

Q: A 1120-lb object is launched from the ground with an initial upward velocity of 70 ft/sec. The…

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Q: A person's Body Mass Index is I = 2, where W is the body weight (in kilograms) and H is the body…

A: I have appended the formula used in the solution procedure part

Q: Evaluate the integral by making an appropriate change of variables.     R5e4x + 4y dA,  where R is…

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Q: The line L has x = 10 + 2t, y = 5 + t, and z = 2 where s ER, as its parametric equations and…

A: As per the company's guidelines, we are supposed to answer the first question for you, kindly repost…

Q: Determine if the sequence converges or diverges {(1/n)^n}

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Q: Select all of the local maximums of the graph of the function given below. The values are given as…

A: For finding the local maxima we will consider all the points on the graph where graph has relative…

Q: Write the equation x² - 6x+2y+9 = 0 in vertex form. O (y - 3)² = -2x O (x+3)² = 2y O x² = -2(y - 3)…

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Q: Suppose you go to a company that pays 0.04 for the first day, 0.08 for the second day, 0.16 for the…

A: Here we can clearly say that his wage is in Geometric  progression.The series isHere given that his…

Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the…

A: Let a function f( x ) If then function is increasing If then function is decreasing

Q: Find div F and curl F if F(x, y, z) = 17y³z³i − 8x¹z7j – 7xyºk. - div F= curl F=

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Q: Given v = 2i-j and w=3i+8j, find the angle between v and w. *** The angle between v and wis (Do not…

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Q: Given F= V(-2-9y¹), find F. dr where C is the quarter of the circle ² + ² = 16 in the fourth Jc…

A: Given so Now

Q: Find the arc length of the graph of r(t) = e√²ti + e¯√²tj + 2tk, 0≤ t ≤ √√2 ln 2 NOTE: Enter the…

A: *Note – As per our company guidelines we are supposed to answer only first question. Kindly re-post…

Q: A tank is shaped like a prism whose faces are semicircles of radius 3m, as in the figure to the…

A: The prism can be separated into various thin cuboids whose bases are rectangles and have a very…

Q: the present value of the amo continuously. in the future and invested at interest rate R-3%, comp

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Q: Evaluate the series, if it converges. 12.29-343 11) 19-

A: Sum of Infinite GP is given as Where a is the first term of gp r is the common ratio of gp

Q: Show that y = - In x + 4x-2 is a solution of y'' - 1 = 0.

A: Given,y = - ln x + 4x - 2

Q: Suppose R is the shaded region in the figure, and f(x, y) is a continuous function on R. Find the…

A: The given figure

Q: Suppose g(x) is given by the following graph. 1 y -2 -3 (b) Compute each of the following values: 4…

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Q: Describe the graph of the equation. r = 17 sin 3ti + 17 cos 3tj O It is a circle of radius 17 in the…

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Q: Find the indicated partial derivatives of: of Ox af ди || || - f(x,y) = -ly xye

A: Given , f(x,y) =x ye-1yusing partial differentiation with respect 'x'

Q: Identify and express the function from the graph given as a sine function 2π -7714 37/2 -57/4 -T…

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Q: Write a polar equation for the graph below. Enter theta for 0 if needed. 7+ 6 5 16 24 3 Now 2- 1…

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Q: Oil is leaking from an oil tanker at the rate of 2, 000 gallons per day. At this rate the radius of…

A: As per the question, the radius is increasing at a rate of 5 miles per day, so we can writeintegrate…

Q: Calculate the left Riemann sum for the given function over the given interval using the given value…

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Q: Find the equation of the tangent plane to the graph of ) = ln (14x² – 11y²) f(x, y) at the point (1,…

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Q: Choose the value of the area of the region in the first quadrant enclosed by the curves y = 3x³, and…

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Q: Identify all the possible values for A in the following equation that would make the conic section a…

A: We have,   Ax2 - 3xy + 4y2 - 5 = 0 - 3xy + 4y2 - 5 = 0

Q: Find the area of the indicated region. We suggest you graph the curves to check whether one is above…

A: The area of the region enclosed by the curves y = e^x, y = 2x + 1, x = −1, and x = 1 can be…

Q: Find the profit function for a product with MC = 20 sq root of (x+2), MR = 40x and fixed costs are…

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Q: The cost function for a certain commodity is C(q) = 87 +0.179 -0.008q2 + 0.00089³. (a) Find C'(100).…

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Q: Find div F and curl F if F(x, y, z) = 3y³z³i - 14x5z³j - 6xy¹k. div F= curl F:

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Q: Let g(x) (ii) = (a) Evaluate each of the following, if it exists. (If an answer does not exist,…

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Q: Suppose a curve is traced by the following parametric equations as t runs from 0 to pi.…

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Q: Find f if f'(x) Answer: f(x) = 16x³ + 16x + 6 and f(1)

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Q: Use the given graph to estimate the left Riemann sum for the given interval with the stated number…

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Q: Suppose f(x) = (b) Find the average value of f(x) over the interval [3, 15]. Average value= 2 -4 if…

A: The given function is

Q: Write the expression in condensed form. logá (7) - log (m) 1086 m log (7-m) 10%6 m 10% 12 m

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Q: Suppose ƒ(x, y) = xy² – 8. Determine each of the following: f(-3, -2)= ƒ(−2, -3)= f(0,0)= f(4, -2)=…

A: Suppose f(x,y) = xy2-8. Determine each of the following:f(-3, -2) f(-2, -3) f(0, 0) f(4, -2)f(t, 2t)…

Q: Suppose f f(x) dx = 2 and f f(x) dx = 15. Determine the value of f f(x) dz. (2) de 2 and 1(a) di 8 f…

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Q: Solve using Laplace x" - 4x = 3t transformations x(0) = 0 x'(0) = 0

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Q: Select the global maximum of the graph of the function given below. + Jhon 10 The values are given…

A: the graph of function f(x)

Q: Since YouTube first became available to the public in mid-2005, the rate at which video has been…

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Q: Find the volume generated by rotating about the x-axis the region bounded by the graph of the…

A: We have to calculate volume generated by rotating these curve about the x-axis.

Q: 4. Consider the function f(x)=x², x > 0. (a) Determine limo+ f (x). Hint: First use L'Hospital's…

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Q: Find the critical values of the function f(x) = 2x³ - 21x² + 36x - 5 Give the answer as an integer…

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Q: Calculate the left Riemann sum for the given function over the given interval using the given value…

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Q: Compute (3, -3,1) • (-1, -3, -4). (3, − 3,1) • ( − 1, − 3, -4)= (Simplify your answer.) - -

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