3cot 3t csc2 3tdt 4+3cot 3t'

Q: S(x5 + 10)®x*dx 4 X.

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Q: 5. After a new version of a certain type of computer is released, the total worldy profits (in billi...

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Q: find the dot product of a vector function with itself. r(t) is a curve and the magnitude of r(t)=pi ...

A: Let  u = a i^ +b j^ be a vector functionthe dot product of u with itself is given byu·u = a i^ +b j·...

Q: cot *dx e2x +1

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Q: 12. Find the first derivative of y = 2cos(2 + x?). A. -4x sin (2 + x²) B. 4x cos (2 + x*) C. x sin (...

A: Since you have posted multiple questions. As par guidelines we"ll solve first question only. If you ...

Q: Let f(x) = V-14 – r and g(x) = z - 9x. fog= The domain of fogis:

A:

Q: Let f(x) and g(x) 7 %3D Find the following functions. Simplify your answers. f(g(x)) = %3D 9(f(x)) =

A: Solution ) f (x) = x / ( x - 7 ) , g (x) = 5/ x  f( g (x) ) =  (5/x) / ( 5/x - 7 )  f( g (x) ) = (5/...

Q: 3. Use cylindrical shells to find the volume of the solid eenerated when the shaded region is revolv...

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Q: 5T is equivalent to 12 The expression csc 1- 2 sin? 12 1 Cos 6. - 1- cos 6. 5 2 cos? 6 - 2]

A: Topic = Trigonometry Correct option  csc5π12=21-cos5π6  

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

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Q: How many derivatives at x = a are needed to produce a 5 degree Taylor polynomial centered at a ? O N...

A: How many derivatives at x=a are needed to produce a 5 degree Taylor polynomial centered at a

Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: y = x + C,e* + C2e¬* y = x² + Ce2* + Cze3*

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Q: %23 %24 In using the technique of integration by parts, you must carefully choose which exp followin...

A: The solution are next step

Q: A spring has a rest length of 13 inches and the spring constant is K 1.5. Haw much work is done stre...

A: We are asked to find the work done of the string

Q: Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and ...

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Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: -21 Evaluate the integral: rV + 81 (A) Which trig substitution is correct for this integral? Or = 9 ...

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Q: Locate the centroid (x coordinate only) of the parabolic area.

A: To Find: Locate the centroid (x coordinate only) of the parabolic area. 

Q: What word or phrase best fits in the blank below? "If lim f(x) = L, then when x is near a the corres...

A: For limit to exist, Left hand limit (LHL) and right hand limit (RHL) both should exist and equal to ...

Q: Find the inverse laplace transform of H(s)= 8/(3(s^2) + 12) + 7/s^5

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Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: y′ =x+1/y4+1 when x = 0, y = 0, Find the general and particular soln.

A: Given: y'=x+1y4+1   Use the variable-separable method to solve the given differential equation. Now,...

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: Directions: Please write your solution on the space provided and boxed The limit of a function Evalu...

A: Since we area given with the multiple number of question and our guideline is solve first question o...

Q: S cos(7x) cos (18x)dx

A:

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the inverse of the function f

A: Follow the steps discussed in solution.

Q: 8²z 8. If z = x + y Inxy, show that x- 8 z + x² 8²z 8y² 8x8y

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Q: tan (log x) 2 dx 2 x(1+log*x)

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Q: a) cos -1 V3 b) V3 sin- c) cos cos d) sin sin- 4 cos cos 2

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Q: xdy – ydx – /x² – y?dx = 0 -

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Q: If is the diameter of the circle with A = (-2,6) and B = (5, 4), then the center of the circle is at...

A: AB is the diameter of the circle with A=-2,6 and B=5,4

Q: Solve for the constants of the integration and the general form of the equation.  Find f(x) if f′′′...

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Q: Find the derivative with respect to x of f(x) = 2(x + 5)* + 3(x + 5)° + (x + 5)² + 4.

A: The given function, f(x)=2x+54+3x+53+x+52+4

Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

A: To solve the equation for L, 

Q: If f(x) VI 2 find: VI + 2 f'(x)= f'(2) =

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Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

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Q: fin d valve of h the intervai (4.9)

A: We will solve for c. 

Q: coshi +eoshm' ") sinhmdm

A: For the solution follow the next step.

Q: Using calculus, find the dimensions of a cardboard box without a lid that has a volume of 32, 000 cm...

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Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x ...

A: solve integration  

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

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Q: Learning Task 1: What inequality true. 1. 2x = 6 %3D 2. 2x + 2 = 8 3. =D3 6.

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Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

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Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: -83° sin (2x) cot (x) dx 370 csc (x)

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Q: At every point of a certain curve, y′′ = 12x3 − 4x. Find the equation of the curve if it is normal t...

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Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: Find the interval

A: