Solve the linear system [x, y, z]= [0, -2, -12] + s[1, - 1, 2] [x, y, z] = [38, 0, -46] + t[3, 1, -5]

Q: Let a, b, c and y be the three dimensional vectors à = 3j+4k, b=i+6j+2k, č=4i-8j, ÿ=−i+ Perform the…

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Q: EXERCISES 2.2 Write the equation of the parabola in standard from with vertex at the origin that…

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Q: 3 2 Let f(x) = 2x²³ - 12x ² + 18x + 20 O Find the coordinates of stationary points 22 Delermine the…

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Q: Use the slider to graph the standard position angle, then write the radian measure in degrees.…

A: To plot the angle π5

Q: *) Write the parametric equations y = x = 4et, y = 8e-t as a function of x in Cartesian form. with x…

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Q: What is the maximum value of y = 2sinx? a. 1 b. 2 C. 1/2 2 d. 2π

A: Given query is to find the maximum value of the function.

Q: Solve the equation O a) x = = ± √5 O b) X = X x+1 −5+2√/5 2 c) x=0, x=5 O d) no solution = 5 x+5

A: Given, xx+1=5x+5

Q: Compute the line integral of the scalar function ƒ(x, y, z) = 2x² + 8z over the curve c(t) = (e¹,…

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Q: EXERCISES 3.2 Write the equation of the ellipse with center at the origin that satisfies the given…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2 TL (21) 3.The vertex is at (4,-4) and the directrix is y + 5 = 0.

A: Topic = Parabola As per guidelines, At a time only one question can be answered.

Q: Suppose u = (1, −5, −1), v = (-2,-1, -3) and (1, –4, 4). Then: W = U • V= u • w= v • W= v • v= u •…

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Q: Create a table of integer values for x = -2 through x = 2 for the given funct f(x)=x²-5

A: Topic:- algebra

Q: If ƒ(2)=4, ƒ(5)=8,g=3 and g(3)=2 determine ƒ(3) .

A: The given function values f2=4, f5=8, g1=3 and g3=2 we need to find the value of fg3

Q: Use the graph to estimate the average rate of change of the percentage of new employees from 1994 to…

A: To find out the average rate of change between the given years.

Q: Describe the transformations that when applied to the graph of y = sinx result in the graph shown. 2…

A: we can describe the transformation of the given graph .

Q: 45° a The height of a right triangle with base angle 45 and hypotenuse 6 is

A: This question is based on trigonometry ratio

Q: Find k if 2x + 1 is a factor of kæ³ +7x² + kx − 3. a) k = -2 b) k = 2 Ock= 11 d) none of the above

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Q: Create a graph of a function given the following information: The instantaneous rate of change at x…

A: Given that the instantaneous rate of change at x=2 is zero. And the instantaneous rate of change at…

Q: Assume 6100 children go to Disneyland today. How much additional revenue will Disneyland receive if…

A: We need to find additional revenue.

Q: Perform the test for exactness and determine whether the following differential equation is exact or…

A: Exact differential equation

Q: Find the domain of the function. (interval notation)

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Q: Assume that u. v = 2, ||u|| = 9, and ||v|| = 3. What is the value of 1u (2u - 10v)?

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Q: 17. [sec u] = (sec u tan u)u' dx

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Q: w(n) = 4n + 2; Find w(3n)

A: We have w(n) = 4n + 2

Q: Decide whether the following problem can be solved using precalculus or whether calculus is…

A: A bicyclist is riding on a path modeled by the function fx=0.0310x-x2 where, x and fx are measured…

Q: If y = sin 0 + 5, what is the minimum value of y? a) 4 b) 5 c) 3 d) 8 e) 11

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Q: function is increasing, decreasing, or constant. C 5. g(x)= x +21+|x-1|-2, 10 8 10 -8 -6 -4…

A: Given gx=x+2+x-1-2

Q: simplify the difference quotient f(x+h)-f(x)/h for the function f(x) = 10/x

A: Given query is to find simplified diffrence and quotient for given function.

Q: For each of the following, perform the indicated operations on the vectors à = 4j+3 k, b = −2i – j−…

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Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: X y -3 4 -1 5 7. -4 6 -3 7 X y -3 5 -1 4 8. -4 0 5 7

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Q: The graph of the polynomial function f(x) = −2x(x − 1)²(x − 2)² extends from

A: Given polynomial f(x)=-2x(x-1)2(x-2)2

Q: Consider the following. X-8 lim x-1 x² - 4x - 32 Create a table of values for the function. (Round…

A: Given:- limx→1x-8x2-4x-32

Q: The amount of money, A(t), in a savings account that pays 3% interest, compounded quarterly for t ye…

A: Here is the solution:

Q: Using the factors method - find the roots of the following equation. i) Show ALL stages of working…

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Q: 1. (a) f(-2) (cf (1) ๆ -3 (b) f(−1) (d) f(1.5) 3

A: The graph of the function is:

Q: 3 5 10. Evaluate 32 a) 2 b) 8 င) 8 .. d) -8 ထု

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Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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Q: If r(t) = cos(2t)i + sin(2t)j – 4tk, compute the tangential and normal components of the…

A: Given:- rt=cos2ti+sin2tj-4tk Find Tangential and normal component of acceleration vector

Q: (3) Evaluate the definite integral i r8 x+x² dx.

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Q: Consider the various types of functions that can be used for mathematical models, which types of…

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Q: Question 8 40° B= Q Note: Triangle may not be drawn to scale. Given the triangle above, answer the…

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Q: x³ - 3x²y = C

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Q: 5. What is the horizontal phase shift of the function f(x) a. b. TT 4 C. d. π = 3sin(x + 1)?

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Q: Determine the standard form of the equation of the circle given its center and radius. Draw its…

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Q: Determine the average rate of change for the function f(x)=x+3x+4 on the interval 2≤x≤4.

A: Answer is in next step .please give a like!!

Q: 8. Evaluate a) 1 729 3 (221 (9) -1) X 1 b) 1 이름 이영

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Q: ind the point of intersection for the lines v(t) = (-5, - 8, -6)t + (− 1, 3, 1) and (u) = (6, 6, 2)u…

A: First we find value of parameters u and t .

Q: Consider the helix r(t) = (cos(1t), sin(1t), −1t). Compute, at t = 픔 A. The unit tangent vector T =…

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Q: Q1: Solve the following ODE a) y" + 2y' - 6y = 0 b) y'"- 6y" +12y' - 8y = 0 c) y"+y'- 2y = x².

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…