f(x) = 2"[In(cot(x³))]5

Q: Solve the equation 4cos2B – 4cos B = 3 given that 0 < B < 2r. Provide your answer below:

A: We have to solve the quadratic equation, it's roots will give value of the solution

Q: Evaluate the following sum of iterated double integrals: r4-2y eAr-r² dx dy 2 2y dx dy +

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Q: Consider the function f(x)=4x+1. (a) Estimate the area between the graph of f and the x-axis between…

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Q: Given: y (3) - 9: a. Determine the y-intercept algebraically 1. b. State the asymptote c. State the…

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Q: Find the general solution of the given system. 12 -13 X' = 13 -12 X(t) =

A: We have to find general solution.

Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: 3/2 Find the exact area of the surface obtained by rotating the curve x = ÷(y² +2)"¨,1<y<2 about the…

A: I have appended the formula used in the solution part.

Q: x? dx (x² – 25)5/2

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Q: .4 sec'x (V tan³x + 1 ) dx

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

Q: If f (x) = |x-1| then lim f(x), lim f(x) and lim f(x) are... respectively x-1 x→1- x→1+ x→1 |x-1|…

A: Let's find.

Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). X00 X→ー0 f(x) = –3x*…

A: Given that       f(x) = -3x4 .

Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

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Q: Function f(x)=x°-6x+1 , increasing on interval .. (-00, -V3) and (V3, 0) 1. O (-v2, vz) 2. O (-0,…

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Q: tan-(n) Consider the series 1+n² n=1 Show that the series satisfies the conditions for integral…

A: Integral Test:If f is a continuous, positive, and decreasing function of x on the infinite interval…

Q: Consider the power series ), Vn² 22n (2.x – 1)" - n² +1 the rodiug ondintorzel of orio

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Q: Consider the following. u = (-2, -6, -7), v = (-8, 1, 9) (a) Find the projection of u onto v. (b)…

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Q: 3. Find the exact length of the curve. Show All Work and Give Answer In Simplest Form. x=1+3r²,…

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

Q: Find the vector component of v = (4, – 1, 7) along b = (1, 2, –2) and the vector component of v…

A: Given v=(4,-1,7)      b=(1,2,-2)

Q: The first derivative of y=cos(tan(x2-7x+1)) is... Turunan pertama dari fungsi y=cos(tan(x2-7x+1))…

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Q: Consider a triangle ABC like the one below. Suppose that B= 113°, a=57, and c=8. (The figure is not…

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

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Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Given: 00 (-3)"(x – 2)" n Vn + 2 n=0 Determine the radius and interval of convergence of the power…

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Q: 2. The acceleration function (in m/s?) and the initial velocity are given for a particle moving…

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Q: Why do we most often settle for just answering if a series converges instead of trying to find its…

A: This is a problem related to series and sum calculations. Based on the general concepts we will…

Q: QI) Evaluate the integral dy dx using polar coordinate

A: To evaluate the given integral using polar coordinates .

Q: Consider the function f(x, y) = 3x² – 4y² subject to the condition x? + y? = 36. Use Lagrange…

A: Here, the given function is: f(x,y)=3x2-4y2 subject to the constrain g(x,y):x2+y2-36=0...(1)

Q: 9. х%3D? +1,у%3г? + 2г. a) Find dy/dx t² +1, y = 2t. Show All Work and Give Answer In

A: Topic = Derivative

Q: Keith is flying two kites. He has 100 feet of string out to one kite and 110 feet out to the other…

A: From the given information, we have to find the distance between two kites.

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

A: First draw the diagram then find the interval and last intergate it.

Q: Find the area of the shac y y=xV4-x 2 y 0 21 y=0 2 square units

A: The region is bounded by the curve y=x4-x2 between x=-2 to x=2

Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3,5) and…

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

Q: Find the volume of the solid obtained by rotating the region bounded by the curve y= x+1, y= 0, x=…

A: Let's find.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: The tangent line equation of x4+y=32 at point (2,-2) is...

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Q: -1 4 1). -dx = -3

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Q: Use trigonometric substitution if possible dx 3 х? (9x2 — 4)2

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Q: Let function f interpreted as a picture below. True statement for function fis ... Pernyataan yang…

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Q: +00 (2х — 1)" n Σ V4n + 1 n=0

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Q: 4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the…

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Q: A mathematical model for the rate at which a drug disseminates into the bloodstream is given by dx =…

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Q: Find and dx d²y then simplify whenever possible. dx2 1) y = 3t5 – 2t , x= 4t³ |

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A mass on a spring undergoes an external forced vibration given by 6 d'x =-12x +3cos(2at). 32 dr…

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Q: The population of a community is known to increase at a rate proportional to the number of people…

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Q: Find the area of the following regions. Graph the function and indicate the region in question: 2)…

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Q: 4. Determine the general equation of the plane containing the points P(1, -4, -5), Q(2,0, 13) andR 3…

A: Follow the procedure given below.

Q: Evaluate the following integrals. 1 dx (e2r – 4)³/2

A: The integration of the integral is 1/(e2x-4)5/2.

Q: 8x2 – 5 dx (2 — 1)(4г2 + 1) 6х —

A: To sove the following integration by using partial fractions.∫6x-8x2-52x-14x2+1 dx

Q: sec“ x (Vtan3 x +1) dx (Vtan3, Px+1) 4

A: