True or False: If dx =In|x-3|+B In|x+2|+C %3D (x-3)(x+2) then B = 5° Select one: O True O False

Q: If Fx) is an antiderivative of x2 +x1, then what is the value of F(1) - F(-1)? 3

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Q: II Solve the ff. problems using trigonometric or inverse trigonometric functions Show illustration, ...

A: Let's find. 

Q: What is the integrable form of sin-cos-sin0 do? 2 2 (A) 1- u² du B - 2 sinu du u² – 1 du 2 cosu du

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Q: 10. f"(t) + 3f'(t) + 2f(t) = 0; ƒ (0) = 1 and f'(0) = 0 %3D %3D

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Q: 2- sec?x)emsec³x sec (3A – x) eln (x/c) What should be the value of A for dx to be integrable using ...

A: To solve the given indefinite integral. 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: Write an equation for the function graphed

A: Given graph:

Q: dy 2y + cos dx ||

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: A particle moves in a straight line according to a law of motion s = f (t), t>0, v %3D in seconds an...

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Q: The integral dx may be written as me" +px+qe™+ C, where m, r ,sinx equal to zero. Evaluate m +n+p+q+...

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Q: 1- cos A + sin A - then 2 sin A is equal to If y = 1+ cos A + sin A 1+ sin A 1 y y Option 1 Option 2...

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Q: Find the diameter of the circle 4x? + 4y? + 24y – 4x – 35 = 0. A. 6V3 B. 6V7 C. 3/6 D. 37 E. None of...

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Q: What is the equation of the circle that passes through points (2, 3), (6, 1), (4, –3)? x? – y? – 6x ...

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Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

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Q: Given revenue and cost functions R(q)=90q−0.3q2 and C(q)=14q+550​, find the marginal profit at a qua...

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Q: Maximizing Profits The weekly demand for DVDS manufactured by a certain media corporation is given b...

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Q: By u = 1+ substitution, the definite integral z(1+ z)"dr is equal to Select one: O(1-u)u"du o (u-1)u...

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Q: Use implicit differentiation to find an equation of the tangent line to the graph of the function at...

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Q: Q4) Find the Asymptotes of the following functions: x³ – 4x² - 1) y x² – 2 x² – 4 2) f(x) : %3D x² –...

A: Solution is given below

Q: I. Solve the following: 1. Given: y = 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x? = 144, find y" ...

A: Given  1. y=2x-13+43x-2 if x=22. 3x+4y3=5 If (3,2) To find slope m:

Q: Find the local maxima, local minima, and saddle points of = f (x, y) = x? +y* + 2xy %3D Identify x,y...

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Q: Estimating an Angle In Exercises 7-10, estimate the angle to the nearest one-half radian. 7. 8. 9. 1...

A: Find your answer below 

Q: I Find the second derivativety") of the following functions and simplify the final results. 1. y= x ...

A: Differentiate with respect to x. 

Q: 5. Water is pumped out of a horizontal cylinder through an opening at the top. Find the work (in jou...

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Q: In the expression 5 +2 tan(30 + ) = 3 where 0 < 0 < a, then 0 in radians will be i. 36 17z ii. 36 29

A: topic - Inverse trigonometric functions

Q: 10* -dx may be written as AlnlsecB*+ tanB* +C• where A, B, and C are constants not equal to zero. Ev...

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Q: (c) lim * +1)' sin x X-0 2x lim sinx 5 (d) 20 +sin 0 (e) lim - 8-0 40

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

Q: If cos? 0 – 3 cos 0 +2 = sin² 0 and 0 an acute angle, then the value of (4 cot 0 + 2 csc 0) is 8. 3 ...

A: Given query is to find the value of indicated expression.

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: eiz-e-iz 1. Show that Sin z 2i

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Q: If 5 tan 0 – 4 = 0, then the value of 5 sin 0 – 4 cos 0 is 5 sin 0 + 4 cos 0 - 3 Option 1 Option 2 1...

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Q: dx Vx

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (c) Find t...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the c...

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Q: Use the First Derivative Test to find relative (local) maximum points, if any, of the given function...

A: a) y=x3-xDifferentiatey'=3x2-1For local max or miny'=03x2-1=0x2=13x=±13x=-13,13Substitute x=-13 in y...

Q: sin-cos-sino de has the form 2 The resulting integral of -C. What should be the 4 value of 0 to make...

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Q: If sec 4θ = csc(θ+20), then θ is equal to?

A: topic - trigonometric identities

Q: f(x)dx if V3 Find 3 | f(x)dx = -2 and f(x)dx = 4 f(x)dx = 3

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Q: (2- sec?x) " sec(3А — х) e In (a le) sec3x -dx to be integrable using What should be the value of A ...

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Q: Find the area of the region bounded by the curve y=1--x² and the x-axis. 6 square units O 4 square u...

A: Given; y=1-19x2, y=0 (x-axis)   From the given curves the bounded region is as shown below; Now tak...

Q: 6. y = In (e' + e")

A: The given problem 6 is solved below in detail.

Q: I Find the second derivatively") of the following functions and simplity the final results. 1. y=x-x...

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Q: 1. Use calculus to compute the integral / (3r + 5) sin(r)dr. 2. Use calculus to compute the integral...

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Q: sinx sinx +x Cosx - e +e The integral dx may be written as me nsinx + px + qe +C, where m, n, p, q, ...

A: Given that a integration first we solve this integration and then we compare to given equations and ...

Q: Exercise 1 Determine the relative extrema of f. (a) f(x, y) = 18x² – 32y² – 36x – 128y – 110

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Use the First Derivative Test to find relative (local) maximum points or minimum points, if any, of ...

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Q: 3. Determine whether each of the following series is convergent or divergent using the appropriate t...

A: a) summation of  n/(n3 + 1). b) summation of (n2 + 1)/(n3 + 1). c) summation of n3 / 5n.    

Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: 2. An object is dropped from a stationary balloon at 500m. (a--9.8m/s²)( a. Express the object's hei...

A: This is a problem related to newton's law of motion. By using general formula of motion's we will ca...