3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal to 1?

Q: Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

A: y'= ex  y"= ex  y'"= ex 

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

A: Let's find. 

Q: dx - = In[F(x)]+C•What is f(/3) For if C = 0? (x+x³) (x Tan-!x+ 1)

A: A detailed solution is given below

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A:      ∫sinθ2cosθ2sinθdθ=∫12sinθ sinθdθ=∫12sin2θdθ=12·∫1-cos2θ2dθ=12·12·∫ 1-cos2θdθ=12·12∫ 1dθ-∫cos2θd...

Q: 1. Sketch the graph of the following Quadratic function f(x) = (x- 1)2 -4 and find the following (a)...

A: Given Quadratic Eqaution :  y= (x-1)2-4 Graph : 

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

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Q: ((2- sec?r) ela (ale) sec³x sec(3A – x) What should be the value of A for -dr to be integrable using...

A: We need to find the value of A such that the integral written below is integrable using the formula ...

Q: The integral Cosr -e SInx sinx +x +e dr may be written as „nsinx me' + px+ ge* + C, where m, n, p, q...

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Q: ( (cos(2r) – sin(2x)cos(2x)) -dx =. For +C. What is F (x)? cos(x) – sin(x)

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Q: Jsino in(0) do? ioP (0)u What is the integrable form of cos

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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: mydx = nxdy Ans. x" = cy"

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Q: 10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Ev...

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Q: 5. Sketch the graph of the logarithmic function f(x) = log, x, State the domain, range and asymptote...

A: This question is based on Logarithmic graph and it's properties.

Q: dr? What is the integrable form of et-e A (1-u²) ² du O fa- B 2 du 2 du 2 du 1.

A: Given Problem is solved in attachment.

Q: has the form - F(0)+ + C: What should be the value of e to make F(o)=0? The resulting integral of si...

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Q: In the city of Los Angeles, California, it is now to be said that it is the city with the most mosqu...

A: The population of mosquitoes in Los Angeles is given by, P(t)=33t3+15t2+6 t is in months and P is in...

Q: II. Find the third derivative of the following: 2x-7 1. y = 2x+11

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Q: Diberi persamaan parametrik bagi satu lengkuk adalah The parametric equations of a curve are x = In ...

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Q: hat is the integrable form of J JcoE e sin sin(0) do cos 1– u² du sin 2 – 1 du s(u) du

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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: he given series converges or diverges. use the following as proof: rison Test, Integral Test, Series...

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Q: sinx cosx - e sinx +x The integral -dx may be written as me"sinx + px + ge* +C, where m, n, p, q, r,...

A: The integration of the integral is (cosx-esinx+esinx+x)/esinx.

Q: 1. y= x - x'cosx + 2xsinx + 2cosx

A: solution:-(1)y=x3-x2cosx+2xsinx+2cosxy'=ddxx3-x2ddxcosx+cosxddxx2+2xddxsinx+sinxddxx+2ddxcosx=3x2-x2...

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: Choose among the following tests ONLY: integral, comparison, and limit comparison to determine if th...

A: We have to check weather the given series is convergent or divergent

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

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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. Evaluate lim -4x+1 X-1 x-1

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Q: (2-sec?x) lnae sec(3A -x) sec'x dr to be integrable using the formula What should be the value of A ...

A:

Q: 3. Evaluate the definite integral. Give exact answers S(x² + 2x – 4)dx - a. ~2 2x+1 dx Vx2+x-2 b.

A: Take integration. Follow step 2nd . 

Q: Find dy/dx of the following functions. A. y = x⁵tan5x B. y = esec2x

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Q: sider the graph of the function f(r) below. Find the following limits: 2 -4 -3 -2 -1 1 2 -2 (a) lim ...

A: We have to find the following given limits according to the given information using the property of ...

Q: 3. Iim Sin 5x (-) (+) fcx) fcx) - 0-2 o. 84147 0.2 0.24147 -0.02 0.99833 0.02 0.99833 -D.002 0. 9999...

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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: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: xcos³x² The S dx is 1-sin x? sin?x² + C {c}sin x² +sin²x² + C {D}sin x? –sin²x² + C { A} sin x² 2 4 ...

A: This question can be solved using integration by substitution.

Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

Q: Let f(x)=4x^2lnx f'(e^3)=

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Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

A: To evaluate the given limit using the tabular method. limx→091+x-91-x31+x-31-x

Q: 1. Find the volume of the solid bounded by the paraboloids z = 6- x² - y and z = 2x? + 2y2.Use polar...

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Q: Question 3 The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies ...

A: ∫-b-a1+xfxxdx = ∫-b-a1xdx +  ∫-b-afxdx = lnx]-b-a + ∫-b-afxdx Given ∫fxdx = Fx and Fx is odd functio...

Q: Which of the following is an improper integral? dx A 2x+ 8 B In(x++1) dr -1 In3e CO.X хе dx -2 D d. ...

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Q: A soccer ball manufacturer is planning to expand its vorkforce. It estimates that the number of socc...

A: Solution is here

Q: Question d15 Find dx15 (-5 sin (x) + 13 cos (x)). Provide your answer below: d15 (-5 sin (x) + 13 co...

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Q: Let a, b be real numbers and consider the integral (ax² + b) cos(x)dx. Using integration by parts wi...

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Q: cos2x – sin2x cos2x x=-F(x)+c•What is F(x)? For = - sinr

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Q: dx - = In[F(x)]+C• What is F(/3) if C = 0? For (x+x³) (x Tan-!x+1) +- 3 3 + 6. -is -is

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Q: Find the equation of the circle with center at (4, -1) and passing through the point (-2, 2). * 4 po...

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Q: dx -= In[F(x)]+ C. What is F(/3) if C = 0? For (x+x3) (x Tan-!x+1) -1 (A 3 3 B (c) + - 6. 1 D + -15

A: