For each statement, indicate if it is True or False. Assume x and y represent positive values. v log(x – y) = log(æ) – log(y) v log(xy) = log(x)log(y) v log(2") = y log(x)

Q: Find the equations of the tangent line and the normal line of the function at the given value of x. ...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Find the volume, using the disk method, of the solid generated when the region bounded by f (x) = (x...

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Q: Problem B.7 Express each of the following ODES in the standard form y" + P(x)y' + Q(x)y = f(x). Do n...

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Q: Question 2 A company's Marginal cost function is M (x) =6x and the fixed cost is Php 1000. Find the ...

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Q: 1. /* dx x3 + x

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Q: sine cose tane= tane cos?e sin?e

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Q: 1 ER=1 (- 100 k%3D1 2k+1

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Q: Find the mass of the triangular region with vertices (0, 0), (5, 0), and (0, 6), with density functi...

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Q: sin?A = 01- cos?A cos?A - 1 1+ cos?A

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Q: Jcot x+1 O tan x sec x O csc X

A: Simplifying the given expression

Q: Find the first and second derivative of the function. x3 + 5x? – 4Vx F(x) :

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Q: Q.15

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Q: Given Cost and Price (demand) functions C(q) = 120q + 40000 and p(q) = - 2.9q + 900, what is the mar...

A: NOTE: Refresh your page if you can't see any equations. .   the given cost is C=70000

Q: height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = - 16t...

A: Given query is to find the the time when the velocity is 130 ft per second.

Q: N. R dy dx where M,N, P.Q and R are algebraic expresions.

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Q: 2. (a) Find the derivative of f(x) = 2x2 – 2x + 2 from first principle sin x (b) If y = x + find x4 ...

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Q: d'y dy 4+y =r²-21 +3 dt? dt

A: We will calculate CF and PI separately then we will add them.

Q: find all of the critical points and local maximums and minimums of each function. (a) f(x) = 1+ x2 '...

A: Note: Since multiple questions are asked, I am answering the first question.please repost other ques...

Q: sinx f(x) = COSX

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Q: For the given composite function, identify the inner function, u = g(x), and the outer function, y =...

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Q: 9. Some weird shapes: For the following functions, use desmos to plot them dy for each of dx and com...

A: In 2nd and 3rd step I uploaded graph of (a) and (b) respectively. In 4th step I calculated the deriv...

Q: Integrate both sides = S sec²y dy = S dx

A: ∫sec2y dy=∫dx

Q: dx 9. Evaluate f VI (1+x) dx Evaluate J J-x sin-1 x 10.

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Q: 38y" - 7у %3 2 2y" + 7y = -x 7 3 7y" – 7y =- 2 8

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Q: Given that sec(0) = and 0 is in Quadrant IV, what is tan(0)? Write your answer in exact form. Do not...

A: We know that the trigonometric identity; tan2x+1=sec2x   Given: secθ=133

Q: log(n) = 2(n) n = 2(log n)

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Q: Find for the following function. dx 3- cos X y = 4 + coS X

A: follow next styep

Q: The height of a sand dune (in centimeters) is represented by f(t)=500−2t^2 cm, where tt is measured ...

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Q: A. Evaluate the following integrals of inverse trig functions. dx 1. Evaluate f- x Vx2-n dx 2. Evalu...

A: 1.∫dxxx2-πSubstitute u=x2-π and dudx=xx2-πand dx=x2-πxdu=∫1u2+πduSubstitute v=uπ and dvdu=1πand du=π...

Q: cotetan3e + 1= sec?e 2 csc?e

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Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: Approximate dx using the midpoint rule with four subdivisions to four decimal places. J2 In(x) The a...

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Q: The function below has the form f(x) = a · b² + k. %3D 14 Which of the following functions is shown ...

A: Functions

Q: Properties of Exponents Which of the following are TRUE regarding f(r) = log, x (b > 0 and b ± 1)? C...

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Q: Find the slope of the line. Slope = m =

A: Given: - The diagram of the graph, To find: -The slope of the line.

Q: et f(x) = /1– x and g(x) = . - Determine the following composition and its domain. fof

A: Given query is to find indicated composite function and it's domain.

Q: Differentiate the function. y = (In x)4 %3D y' = %3D

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Q: Evaluate the value of the function at the given value of x. Show work. 15. y = (4x2 – 1)³ at x = 1 1...

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -...

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Q: Consider the function f(x) = 6x 6x + 1, 0 < I< 6. The absolute maximum of f(x) (on the given interva...

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Q: lim ex+7 x-

A: As per the instruction, we will be answering only the first one. For (15),     limx→ -∞ e4x+7=e4(-∞)...

Q: -x10+3 8 (x) = Vlx|+2x2

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Q: (x)M + (b) 43. x + 2x + 2

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Q: A16.1 Sketch the following periodic functions over the interval [-6, 6]. (a) f(t) ={ f(t+2) -1<t<1 -...

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Q: Evaluate the integral. VE (1 + t) dt /1

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Q: 8. A cardioid is a heart like shape that you learnt in Math 140 when learning to plot using polar co...

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Q: 2) Evaluate the integral 1 2- -2 XVX -16

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Q: 10. Determine the intervals for which the functions are continuous. (c) f(0) = -2 cos 0+ sin 0 (a) g...

A: Every polynomial function is always continuous on Real number. Sum of two continuous function is alw...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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