A force vector has a magnitude of 14 N and make an angle of 20° with the x-axis. What is the magnitude of its horizontal component? 13.16 N 4.79 N 14.00 N 14.90 N

Q: The result of a dot product is a scalar. True O False

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Q: Determine whether the lines L₁ and L2 are parallel, skew, or intersecting. L₁: x = 6-9t, y = 9+ 12t,…

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Q: If two vectors are O True orthogonal, then their dot product is 0. O False

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Q: Example Sketch the graph of an example of a function f that satisfies all of the given conditions.…

A: Using the given characteristics of the function, we can sketch it's graph.

Q: elow is the graph of a function f(x) -5 -4 -3 -2 What is the value of the limit -5 -3- -2- -1- 0 -14…

A: We have to find the limit of the given function at negative infinity from the given graph.

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Q: a) Approximate the area under graph (a) of f(x) = 2/x² over the interval [1,5] by computing the area…

A: The function is f(x) =   and the interval is . We have to find the area under the given graphs.

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Q: 10,000e |x| 2 xy-plane, where x and y are measured in centimeters, find the total population of…

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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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Q: f(x)=x²-3x³ according to the Curve Sketching Analyze the key features of the graph of Algorithm and…

A: The function isFormulas used,

Q: 1. Which of the following must be equal to lim fx so that the limit exists x 25+ at the point with…

A: The limit of a function f(x) exists if and only if the one sided limits of the function are…

Q: for part b for the partial derivatives, how did you get 6K–1/2 L1/4 – 1.2 and 3K1/2 L–3/4 – 0.6,…

A: The solution is shown below-

Q: Write a in the form a = a₁ T+aN without finding T and N. r(t) = (3 + 7t)i + (t-6)j - 2tk a= T+ N

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Q: Assume the given point is on the terminal side of an angle in standard position. Determine the exact…

A: given point is (4,3)

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

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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: 12. Determine the derivative of f(x) c) = log₁ (2x²)

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Q: Let f(x) = 1. f'(2)= 2. f'(5)= 3 √x Evaluate each of the following: A

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Q: 18 Find the exact value of log, (2) + log; (√4).

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Q: Find the direction angle of a vector whose initial point is (7, -2) and terminal point is (4, 3).…

A: The initial point of the vector is  and the terminal point of a vector is

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Q: A particle moves along the x-axis so that its position at time 0 < t < 18 is given by x(t), whose…

A: Relation between position and acceleration

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Q: Using implicit differentiation, find an equation of the tangent line to the curve at the given point…

A: Slope of tangent

Q: Use a suitable half-angle formula to find the exact value of sin(15°)

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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: 5. What is the derivative of ♬(x) = (3x² + 7)³₂ ) f'(x) = 18(3x² + 7)² f'(x) = (3x² + 7)² f'(x) =…

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Q: 5 Let f(x) = 3x - 11 Find the intervals of increase/decrease of f. Enter your answer using interval…

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Q: 10. Determine dy of y = 5-2x+7 dx In 5 -2(5-²x+7) ○ (5-2x+7) In 2 ○ (5-²*+7) In 5 ○ 2(5-2x+7) In 2

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Q: Consider the series ∞ an+1 an n=1 (-1)+1 n Attempt the Ratio Test to determine whether the series…

A: We have to check weather the given series is converse or divergent in nature.

Q: f(x, y) = xy + 64 64 + x Y

A: The given function is:

Q: Write v as the sum of two vector components if v = 2i + j and w = 3i − 2j. Ov(음+음)+(2+) O(+) O ..(금)…

A: Let vectors v and w then Decomposition of v into vector components where

Q: Match the words and their definitions < < < < < Tangent Line Continuity Limit of a Function…

A: The notation f'(x) is given by leibniz.The slope of a tangent line to a curve is given by

Q: Ifv=i+2j and w = 3i+ 6j, then the projection of v onto w is: O 1i - 2j O i + 2j O O -3i - 6j 3i+ 6j

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Q: I 7. Find the vector and parametric equations of the line that passes through the points A(7,10,4),…

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Q: Determine the vertical asymptote(s) of the function. If none exists, state that fact. f(x) x+5…

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Q: Find dy/dx in terms of x and y if x = 10√/y. X

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Q: Below is the graph of a function f(x) -5 -4 -3 -2 What is the value of the limit -5 -3- -2- -14 0…

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Q: The following triangle depicts the case of the Law of Sines (ASA). C 44 40° B b = 12m True a 22.5° O…

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Q: d(x) = [-x-k, if x = -1 2x+ 2k, if x = -1 k = 1 نی =-4 k=-1 k = 0 Determine k so that (x) is…

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Q: Find the exact value of sin 105° using a suitable half angle formula.

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Q: If y = and w=, then the projection of v onto w is: O-9,-3> O

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Q: Determine whether the improper integral diverges or converges. fe converges diverges ex cos(5x) dx…

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

A: Firstly change the given Cartesian integral to an equivalent polar integral and then evaluate

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-9,…

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Q: 7. If y sin5x, then y'= = a) 5cosx b)-5cos5x c) -cos5x d) Scos5x e) none of the above

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