Question 5 3 cos(A) = Q Note: Triangle may not be drawn to scale. Given the triangle above, answer the following: sin(A) = tan (A) sec (A) csc (A) cot (A) 10 P B

Q: Estimate the instantaneous rate of change of f(x) = -3x + 2 at x = -2.

A: The instantaneous rate of change of a function f(x) is the first derivative of a given function and…

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: 6. Show that there are no tangents to the graph of 5+2 that have a negative slope. .

A: Given function:- y=5x+2x+2

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: Question 14 99 Details A radio tower is located 300 feet from a building. From a window in the…

A:

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

A: We have to find tangential component and normal component

Q: Determine the exact value of sin 17л (172) using the compound angle formula. No calculators to be…

A:

Q: Question 10 Convert the angle -165° to radians:

A: As we know that; The angle which in degree can be converted into the radians by the formula,…

Q: Suppose f(x) = A.) f(-3) + f(5) = 3x²10x - 6. Compute the following: - wwesom B.) f(-3)-f(5) =

A:

Q: ake the derivative of f(x) = lae-lxxa-1 with respect to x and set the derivative equal to 0.  This…

A: f(x)=lae-lxxa-1 where l and a are positive constants. Lets use product and chain rule. Product rule…

Q: Using the function f(x) = 7x² + 4x - 7, find the slope over the interval listed below [-6, 5] m =

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Q: 2. An object is placed in a room where the temperature is kept at a constant 60°F. The object cools…

A: An object is placed in a room where the temperature is kept at a constant 60°F.The object cools from…

Q: Given f(x) = cos x and g(x) = sin x a. Determine (fog)(π) b. Determine (g¯¹0g)(x)

A:

Q: Solve for x, to two decimal places. 200 = 4(5)* O a) 10.00 Ob) 2.43 Oc) 12.15 d) 1.87

A: The given equation is: 200=45x   As we know from the logarithmic property, logbxa=a·logbx  where…

Q: - Given the functions f(x) = x² + 1and g(x) = 3 − x, determine an equation for the combined function…

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Q: 4 Write as a single logarithm. log x² + log xª O a) log x6 b) log x8 c) log x²√√x d) ¹ log x8

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Q: Fill in the blank with “all”, “no”, or “some” to make the following statements true. ˆIf your answer…

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Q: A function f has domain [−5, 5] and a portion of its graph is shown. (a) Complete the graph of f if…

A: A function f(x) is called even if f(-x)=f(x) and called odd if f(-x)=-f(x).

Q: O O -7 O-4 O -1 -11 The table shows values for f and g. What is lim (2f(x)-3g(x))? X-2 f(2)=4 g(2) =…

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Q: Find the limit of the function (2x ^ 2 - 4x)/(x + 1) as x increases without bound

A: find limit as 'x' increases without boundlimx→∞ 2x2-4xx+1

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

A:

Q: Select which of the following functions have a removable discontinuity. More than one answer maybe…

A: Given 1. fx=xx2+x 2. ft=t+3t2+5t+6 3. fx=tan2x 4. fx=x+1x2+1 5. ft=t-1+1 6. fx=5ex-2

Q: {(1, 2), (2, 5), (3, 7), (1,3)}| {(3 9.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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

A:

Q: Which of the following graphs of polynomial functions corresponds to a cubic polynomial equation…

A: A cubic polynomial with roots -2, 3 and 4 must have degree one at each of its factors, ie. it must…

Q: 12 10 8 A 0 B 6 C 8 D 10 12 16 H G 20 22 24 26 28 30 The graph attached to this question has 7…

A: The solution is given below

Q: Which of the following is a polynomial function? a) f(x) = sin x Ob) f(x) = cos x O c) f(x) ○d) ƒ(x)…

A:

Q: ng on 23 March 2012. $ Receipts 21.096 10.814 Days 21 35 49 63 77 91 105 119 4.505 2.311 1.072 0.624…

A: Topic:- rate of change

Q: 1. A radioactive substance with an initial mass of 5kg has a half-life of 30 months. a) Write an…

A: Answer is in next step!

Q: Determine if the sequence (nsin(pi/n)) is convergent or divergent. Find its limit if it is…

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Q: 2. Use the substitution technique to find [*5'sin(5¹) dt exactly (not an approximation).

A: The given integral is ∫015tsin5tdt use the formulas, ddtat=atln(a)∫sint dt=-cost+C

Q: A tourist has a pamphlet that contains the following list of taxi fares for various distance. How…

A: Given:- n = 4 Formula Used, The equation of the regression line is:- Y= a+bX Where b is the slope…

Q: Give an example satisfying the stated property. Formal proofs are not required, but some explanation…

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Q: 5x²(2x − 3) ³ (x+4) + 9x (2x − 3) (x +4)²

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

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Q: 二十三 _{{x} = {\}\

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

Q: y = C₁cos(2x) + C₂sin(2x)

A: The eliminate the constants from the following equation.y=C1 cos2x+C2 sin2x

Q: State the equation of the this graph using the cosine function. y & 2 - + -2 R 2n 0

A:

Q: How do I find the input values for g(x) = 247 in the function 4x^2 + 32x - 13 using a TI84+ graphing…

A:

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

A: Multiple subpart question Since this is a multiple subpart question, according to the Bartleby…

Q: 7) Given that the points A=(-1,4,0), B=(2,1,1), C = (2,-2,1) are three vertices of the parallelogram…

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Q: What is the general solution of sin x sin ydx + cos xcosydy = 0 O tan x = O sin x O sin y + cos x +…

A: To solve the given differential equation.

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

A:

Q: The function f(x) = = a) 0 b) 1 Oc) 2 d) 3 (x² + 1) (x² + 2) has how many x-intercepts?

A: Given function:- fx=x2+1x2+2

Q: Question 3 Find: a. b. C f(10x¹-12x³ +9x² -8x+1)dx 8x4 +9x³-7x X dx [(2x² - 4x +5X3x + 2)dx

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Q: Find the limit. (If an answer does not exist, enter DNE.) x+ 5-6 X - 31 lim x→ 31

A: We need to solve limit.

Q: xp x^ (x)u[ 6 1 Jo 2.

A:

Q: How do I find limits based on a graph?

A: Topic:- application of calculus

Q: Given f(x)=3x+1 and g(x)=2x²−1, determine an equation for ()(x).

A:

Q: Which of these is a possible solution for sin²x - 1/1/72 = x = [0, 2π] ? a) O b) X = x = Oc) ₂ 元_4 П…

A: Given:      sin2x-12=0        sin2x=12         sinx=±12        sinx=12 , sinx=-12