2. Find the unit vector in the direction of < 5,-7>

Q: Classify each as an identity equation or conditional equation 1. tan 2x = 2 tan x 2. sec x =…

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Q: 3. .

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Q: Find the y-intercept of the line 2x+3y-6=0 as a point O a. None O b. (0,2) O c. (2,3) O d. (0,3)

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Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: Find the sum of the infinite geometric series 1 1 1 4 1 +.. 64 16

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: The inflection point of the function f(x) = x³ – 4x² + 4x + 2 is: (금, 끓) 3 7 4 ' 27 7 (금, 꽃) 4 70 3'…

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Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

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Q: For the function, f(x) = 6x, determine whether it is one-to-one. If the function is one-to-one, find…

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Q: 5) = -?². (*+). Suppose that cos (x) = and cos (x + Find the value of sin (x + Make use of the…

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Q: Find the acute angle in radians between the planes 1x+z=1 and 1y+z=1. You may leave your answer in…

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Q: Find T(t) and N(t) at the given point. r(t) = 2 cos(t)i +2 sin(t)j + tk; t = 2 (), T. %3D ||

A: r(t)=(2 cos(t), 2 sin(t), t)r'(t)=-2sin(t), 2cos(t), 1r'(t)=4+1 =5T(t)=r(t)r'(t)T(t)=15-2sin(t),…

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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Q: se transformations to graph f(x) = - 5* - 1. O A. ... hoose the correct graph. 110 10 OC. 10 10

A: Given query is to find the graph of the function.

Q: Knowin that "first image" is iqual to zero for any natural number 0<= m < n .   Determine the sum…

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Q: Of all rectangles of area 100, which has the smallest perimeter?

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Q: Choose the point which shows the correct location for the polar coordinate (1, ). 90° 412 135° 7…

A: To choose the point which shows the correct location for the polar coordinate 1, 5π6.

Q: Q9. (a) The nth term of a sequence is 6- 2n Work out the first three terms of the sequence. (b) Here…

A: We can solve the given problem as follows:

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A: We have to find integral

Q: Please, solve 1(d) & (e), 2 only

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Q: A company determines that its marginal cost, in dollars, for producing x units of a product is given…

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Q: CSC* x dx cot² x

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Q: Find the area, if it is finite, of the region under the graph of y = 14x° over [0,00). Select the…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: Which one of the following equations is in the slope- intercept form? O a. 2x+3y-6+0 O b. 2x+3y= 3

A: The equation of line in slope intercept is giveny by:y=mx+cwhere, m=slope c=y-intercept

Q: Tind the vudivs and interval of convergense of the powe Series, (-2)" (x+2)" San

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Q: . Using the vectors in the previous item, which of the following vectors makes an angle of 90° with…

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Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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Q: Consider the graph of the function g(x): 4 y = g(x) 4 7 x The graph from x = 2 to x = 6 is a…

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Q: the area of the region enclosed by y = 2 – x´ and y = -x, identify the "a" and "b"

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Q: Direction: Evaluate f'(2) for the given functions. Show your solutions on a separate sheet of paper.…

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Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: Find the cost function for the given marginal cost and fixed cost. marginal cost= 1/80x+40 fixed…

A: Given:        Marginal cost dCdx=180x+40         Fixed cost x=0=$8000…

Q: Find the particular solution determined by the initial condition. 2/3 f'(x) = 3x - 6x; f(1) = - 7…

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Q: Find the Taylor series about 0 for each of the functions below. Give the first three non-zero terms…

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Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

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Q: What two nonnegative real numbers with a sum of 50 have the largest possible product? The numbers…

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Q: Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population…

A: Given: Biologists stocked a lake with 240 fish. The carrying capacity (the maximal population for…

Q: dx J (x² + 2x – 10)²

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Q: sin 4x, + c sin32x. A. sin 2x- (sin 2x - m 2*) 3 + (х + 16 - 8. 16 16 3 sin3, sin x В. 8 sin x 16…

A: Expand (sinx)^6 into single power.

Q: Evaluate the integral using the following values. 9. x3 dx = 320, 9. dx = 4 dx = 16, %3D - 10x + 3)…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 4, 3) %3D…

A: Apologies for the inconvenience.   #b) In part #a) we have found that, the direction ratio of the…

Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: Find the Taylor Series centered at 1 for the function f(x)= 4x3-2x2+x=5. Show with clear work.

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Q: Water is drained out of an inverted cone, having the dimensions depicted in the figure below. If the…

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Q: Y= 3xé

A: Given query is to find the derivative of the expression.