Find parametric equations of the line through (-2, 1, 6) that is parallel to 2i – 4j+ k. x(t) y(t) z(t) = =

Q: 1. Given that lim f(x) = 2, x→a lim g(x) = -4, x→a find the limits. (a) lim [f(x) + 2g(x)] x→a (b)…

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Q: (a) Consider the function f(x)=√x² - 16. Enter the number of critical points/numbers of f(x).…

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Q: (d) Find the zero of the function (Be careful with the domain!) 12.713206788867632 (e) The airyai…

A: As per guidelines we can solve only first question if multiple questions are posted. Please repost…

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Q: 6. (8) Let f(x) = 4 x ³ - x 4 3 a) Find the domain D (f) and the Y-intercept b) Find f'(x) the…

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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: 10 Evaluate tan 8 at the following value: = O 0 0 0 0 tan 8√3 e' = tan 8√3 tan 8= -√3 tan 8= -√3 3…

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Q: Suppose that sec() = 5, tan() < 0. Compute the six trigonometric functions at the angle 9. cos(8) =…

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Q: Let y=5x. Find the change in y, Δy when x=1 and Δx=0.4   Find the differential dy when x=1 and…

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A: `The given integral is .We have to find the value of the integral if it is converges.

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Q: 5. Use implicit differentiation to find an equation for the tangent line at the given point. x² +…

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Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

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Q: Find the reference angle, 8, if 8 = 1395°.

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Q: 3x-11 mang má O a. Inkx+6Xx-17+c O b. In x-1)(x+67+c Ocinkx+1Xx-6+c Od. Inx-6)(x+1)+c

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Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v-(-3,-2), w=…

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Q: Suppose the second derivative of f is given by f''(x) = 30(x − 4)4(x2 − 36). Determine the intervals…

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Q: 9. Determine the slope of the tangent to the function f(x) = 5xe* at the point with x-coordinate x=2…

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Q: An airplane is traveling at a fixed altitude with an outside wind factor. The airplane is headed N…

A: An airplane is traveling at a fixed altitude with an outside wind factor. The airplane is headed N…

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

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Q: 2. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, - (a) (b)…

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Q: 6. Let A = lw denote the area of a rectangle. The length of a rectangle is changing at a rate of…

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Q: - CLE Bot 7 ! F2 2 O Rewrite the expression * Student can enter max 2000 characters F3 XGBIU FEQ #m…

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Q: sin x To verify the identity = (secx-tanx)², a possible strategy would be to start on the left side…

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

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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: wouldnt it be -100 not 100 since 7-22=-15

A: (3.) (a.) A firm produces two different kinds A and B of a commodity. The daily cost of producing…

Q: The curve with equation y2 = 2x4 - 14x² is called a kampyle of Exodus. Find an equation of the…

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Q: bind dy/dx у=х собих

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Q: A student recognizes that given the function f(x), they are able to simplify the function as…

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Q: Find a unit vector that has the same direction as the given vector. -6i + 3j - k

A: Vector             Unit vector in direction of vector

Q: Use algebra to rewrite the following identity in a different form. 1 + cot²(0) = csc²(e) Use the…

A: The given identity is To rewrite the given identity.

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Given the following piecewise function, evaluate f(4). Do not include "f(4) =" in your answer. [ 5x…

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Q: Find all of the solutions of the equation on the interval [0, 2n]: secxcscx=2cscx. ○ 풀, 풍, 0, n, 2m…

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Q: Evaluate 2 √x (x²-1) 8 d dx

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Q: (a) lim f(x) x→-∞ (b) lim f(x) x→-2 (c) lim f(x) x→2- (d) lim f(x) x→2+

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

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Q: Assume the following angle is in standard position. Find a positive and negative angle whose…

A: Coterminal angles are angles in the standard position that have a common terminal side.

Q: 8] n=1 (−1)n+1 n

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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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Q: Question 4 Let −4x² + xy + 3y² - 13x − 8y - 3 = 0. dy Use partial derivatives to calculate > dy dx…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: What will be the numerical value of the following integral ₁ [8 (t+3) 28 (4t)]dt -

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