(1+cos a)(1-cos a) (1+cos a)(1–cos a) Which of the following is equivalent to for all values of a for which is defined? sin'a sin a Select the correct answer below: sec atan a O 1 CS a

Q: ed Feedback ry again. The three hypotheses of Rolle's Theorem for a function f on the given interval...

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Q: Find the constant a, such that the function is continuous on the entire real line. f(x) = {2x2,     ...

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Q: 3.) dx + e dy = 0

A: The objective is to find the solution of the differential equation.

Q: (1/cscx)(1/sinx) = %3D sin?x 1 csc?x

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Q: Simplify sec?e - tan?g + 1. 01 2

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: Find the general indefinite integral. (Use C for the constant of integration.) + 9x3.5) dx

A: Find the value of ∫(x1.7+9x3.5)dx Using the sum formula of integration = ∫x1.7dx + ∫9x3.5dx

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: + x. Find equations of both lines through the point (2, -3) that are tangent to the parabola y = x2 ...

A: NOTE: Refresh your page if you can't see any equations. . take derivative so the slope of the ta...

Q: 0.6 C(x) = x2 ' where x is the distance away from the plant in miles. The instantaneous rate of chan...

A: To find out the instantaneous rate of change of the sulfur dioxide concentration.

Q: Use the Intermediate Value Theorem to show that f(x) = x^2 − 3x + 1 has at least one real zero betwe...

A: Given:- Use the Intermediate Value Theorem to show that f(x) = x2 − 3x + 1 has at least one real zer...

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: give 5 example problems of removable, jump, asymptote discontinuity

A: Examples of removable , jumped , asymptote discontinuity as follows :- 1. Removable discontinuity :-...

Q: The population of a city is 150,000. The city declines continuously by 4% per year. If this trend co...

A: We have to find time in year when  the city will be losing 3400 people per year.

Q: Consider the function f(х, у) — у4г — Зу. /Ах — Зу. - a) Find all second order partial derivatives o...

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Q: Integrate V4r - 8~ dx using a table of integrals 2. Chrome-Microsoft Word- Integral Formulas IIl.doc...

A: Given query is to find the value of integral using the table given.

Q: Let f(r) be the function 6r2 /(5+h)-f(5) 5x +9 Then the quotient can be simplified to ah + b for and...

A: Given query is to find the value of a and b.

Q: • Gamma Functron 1. Find (5.2). Answer: 32.5781 010537 1.6317 -0.06

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*) 01=yt...

A: we have to find the solution of  given differential equation.

Q: 2. x2 – xy + y2 = 3, find y". 3. Find the equation of the tangent to the graph y = x Vx-1 at ( 5, 10...

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Q: ΣE1(-1)k-1. 6k-1 7.

A: This question can be solved using the concept of infinite geometric progression.

Q: ∫(x2-2x+1) / (x2-2x-3)5/2 dx solve using integration by parts

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Q: Evaluate the following limits: (a) limx→0 4x/sin 5x (b) limx→π sin( π/2)/5x (c) limx→0 sin3^3x/x^2ta...

A: a) limx→04xsin(5x)=45 b) limx→πsinπ25x =sinπ2limx→π15x                    = 015π limx→πsinπ25x = 0 c...

Q: Calculate I dx n=LobysimPsons4) rule

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Q: 5x dx 4. To evaluate the integral J which of the following formulas can be used? V9+x10 du In(u + vu...

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Q: equalion of 2 Rines both and (0,4) pass Through

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Q: (a) y = x2 – 2 and y = 2 -

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

Q: Find the complete solution of dy + dz = 3z'ydz

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Q: 1) CSc y di + secx dy =0 CSC y Y.

A: Given query is to solve the differential equation.

Q: For the Gp 20,5,1/4 find the common ratio N term Sum of the first 5 terms

A: Given: - The Gp is, 20,5,14 To find: - The common ratio N term sum of the first 5terms.

Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: Evaluate the following limits by constructing a table of values

A: To evaluate limx→alimx→f(x), we need to completing a table of functional values. We choose two sets ...

Q: Find the mass of the rectangular region 0 <x < 2,0 < y < 3 with density function p(x, y) = 3 – y. %3...

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Q: csc?e + cot?e - 1 =

A: Recall: csc2θ=cot2θ+1 Given,  csc2θ+cot2θ-1

Q: In the answer box below, type an exact answer only (i.e. no decímals). You do not need to fully simp...

A: Given sinβ=2029Also, π2&lt;β&lt;π

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Given Cost and Revenue functions C(q) = q° - 11q +51q + 5000 and R(g) = - 3q + 2500q, what is the ma...

A: The cost function, C(q)=q3-11q2+51q+5000revenue function, R(q)=-3q2+2500q

Q: dt. (t² – 4)? 2.

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Q: Find the max., min., inflection points and the intervals on which the functions increase, decrease, ...

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Q: Which of the following is equivalent to tan 0(sec 0 – 1)(sec 0 + 1) for all values of 0 for which ta...

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: 8 sin x cos x sec x =

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = x – 3x? + 4x – 12 2...

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Q: Use Double Angle Identities to simplify the following trig expressions. Your answer should use only ...

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Q: 3. lim f(x) = -2, X-2 4. X-3 lim f(x) = +00, lim f(x) = 2 and f(2) = 0 lim f(x) X-3* %3D = -00

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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) = -...

A: This question is based on application of derivative.

Q: 2. CalaulateS. x edx by tra Pe Zoidal rule n=40

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

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Q: Use any method to determine whether the series converge. 1 (a) E k + 4k + 1 k=1 This series 1 (b) E ...

A: We have to check whether the given series are converges. a. ∑k=1∞1k8+4k+1b. ∑k=1∞18+k15

Q: Suppose f(x) is continuous for all x and positive for all a except at x = and/ f(z) dz converges. Se...

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Q: [12 31 1 2 and B = ] 1) If JA| = |B1, find the value of k where A =0 %3D 13 [2 1

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Q: Let f(x) = V1 – x and g(x) = . Determine the following composition and its domain. f•g

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