A cos(A) = tan(A) = Q Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: sin (A) = sec (A) csc (A) cot (A) 5 E 12 B

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

A:

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

A: To find the derivative of given function

Q: Match the equations of the surface with the graphs below. A D 1.9x² + 4y² + z2² = 1 2. x² - y² + z²…

A: The equations of the surfaces, 1. 9x2+4y2+z2=12. x2-y2+z2=13. -x2+y2-z2=14. x2+4y2+9z2=1

Q: 1. What is the 'exponential equation' of the function shown? 0 3(5*) b) f(x) = 3(5) a) f(x) = = -x…

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Q: X 2.3 .6 이

A: USING SIMPLE MULTIPLICATION RULE OF MATHEMATICS

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) dt cos²(t) /4 + tan(t) 6

A: To evaluate the given integral.∫dtcos2t 4+tant6

Q: 7. What is the range of the function f(x) a. [-5, 5] b. [7, -4] c. [-8, 2] = 5sin(2x + n) - 2 ? d.…

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Q: PART B (3.21x1043.21×104 )(0.2506) Express your answer in appropriate significant figures.…

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Q: Twenty-four people enter a tennis tournament. How many different first-round matches are possible if…

A: Given , 24 people enter a tennis tournament, and each can play with any other player.  It means 1st…

Q: Given the vectors p = [-2,3,5] and a = [4,-1,4], find a) p.a b) the angle between p and a c) the…

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Q: You are given the graph of y = |x + 11. -10-8-6-4-2 A Serap y -10-8-6-4 -2 10 8 6 4 2 -2 -4 -6 -8 10…

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Q: 5) 3x 4 3

A: given 3x43

Q: Find the limit. lim X-6 lim X-6 x² - 4x-12 X-6 2 X - 4x-12 X-6 = (Type an integer or a simplified…

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Q: Convert the angle 360° to radians.

A:

Q: The bungee jumper's height, h, in metres, above the ground after t seconds, is shown in the graph. m…

A: Please see the below answer.

Q: (b) / ₁ 1 -dx 1 + x³

A: ∫11+x13dx

Q: 60° 17 Q The hypotenuse of a right triangle with base angle 60 and base 17 is

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Q: Sketch the graph of the function by first making a table of values. H(x) = |3x| X -3 -2 -1 1 2 H(x)…

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Q: f(x) = 2 Lim f(x+x) - fox) AX f'(x)= 4x40 Lim AXO Lim (x+4x)² - + (x+AX)^2-x²² AX AX x= x + 2x (0x)"…

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Q: Find the length of the vectors (a) i +3j+ k: length = (b) i — 2.6 j + 2.6 k. length = -

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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: 6 5 4 3 2 1 01 2 3 lim 2-17 lim z→4+ y = f(x) lim Enter each answer as a whole number (like -4, 0,…

A: To determine the following.f9=?limx→1- fx=?limx→4+ fx=?limx→1 fx=?

Q: Which expression is NOT a law of logarithms? a) loga xy = loga + loga Y b) 10%a loga X Y = log₁ x c)…

A: This question is related to laws of logarithm, we will solve it using given information.

Q: Determine the vertex, focus, directrix, and axis of symmetry of the parabola with the given…

A:

Q: Given each of the pairs of functions, determine the domain of (fog)(x). 2 a. f(x)=2*, g(x) = X b.…

A: We have to find domain

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: 1. Using the Vertical line test, identify if the graph is a function.

A:

Q: A parabola is modeled with the equation x2 – 6x + 4y – 19 = 0. Which is the domain and range of the…

A:

Q: 6 5 4 3 نیا 2 1 y 0 lim I T h→0 y = f(x) 1 2 3 Enter each answer as a whole number or a fraction, or…

A: Lim x→a+ represents " x approaching a from the right side of a" Lim x→a- represents " x approaching…

Q: Let f(x) = X-4 x - 4x (A) lim f(x) X→0 Find the indicated quantities, if they exist. (B) lim f(x)…

A: Please refer to the image below

Q: Expand 1) 3y³x³

A:

Q: 4. A culture initially has No number of bacteria. After one hour the number of bacteria is measured…

A: Topic = Differential equation

Q: At 1:00 P.M., a thermometer reading 70°F is taken outside where the air temperature is -10°F (ten…

A:

Q: X 3.08 .5 O5

A: USING SIMPLE MATHEMATICS RULE

Q: B. Find the general equation of the line satisfying the given properties: 1. Passing through (2, 4)…

A: since you have posted multipart question i can do  first three subparts as per our company…

Q: 2. Evaluate a) 512 (1) ³ b) -512 c) 512 -1 d) 512

A:

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: use the graph of the function to find the domain D and range R of f(x) and the indicated function…

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Q: Let f(x) = 2e³x and g(x)= and 2 3 g(x)= ln(5x); find (fog)(2)

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Q: The graph of f is given. Draw the graphs of the following functions. (a) y = f (x) − 2 (b) y = f (x…

A: We have to draw the graph of given function.

Q: Which of the following functions are even? i) f(x)=-x* ii) ƒ(x) = ²/12 x -()* iv) f(x) = log₂x v)…

A: Here we have to choose the correct option.

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A:

Q: Expand 2) 2m²k4

A: Topic-Exponents

Q: 100 fingerlings were released in a pond in 2005. By 2012, there were 324 fishes in the pond. The…

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

Q: Convert 1 -Tradians to degrees: 2

A: convert 12π radians to degrees

Q: L’Hopital’s Rule. Find the limit of (xl - 1)/l as l goes to 0 (not x, l). This is called the…

A:

Q: Use the table to find lim¸ ƒ(x) x → 5 X 4 4.9 f(x) 6 7.8 7.99 6 4.99 5 5.01 5.1 6 8.02 8.1 11

A: Find out the given limit by the help of the table.

Q: 二十三 _{{x} = {\}\

A: Assume the bracket part as another variable and then use Chain Rule. And use basic identities of…

Q: The composite function (f)(x) is equal to a) x O b) f(x) c) ƒ'(x) d) [ƒ'w][f]

A:

Q: A cylindrical tank of height 13 metres is full of water at time t = 0 seconds. is turned on at the…

A: