Evaluate the integral. Tt/3 3 tan (x) sec (x) dx

Q: Given P = R S°T0.5 + RO.5 S sin(2T) what is P ƏR

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Q: Question 8 What are the domain, range, and period of the function f0) = -3cos(- 20)? Answer in compl...

A: Topic:- function

Q: For the quadratic function f(x)= 2x² – 24.x+90 (a) Complete the square to put the equation into a(x-...

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Q: (a) Fully factorise the following equation x + 3x?y + 2xy² + 6y3 Find the coordinates of the centre ...

A: We factorise the given equation and find the center of the circle and radius in b part. Follow 2nd s...

Q: xydx+2(x^2+2y^2)dy=0 x=0, y=1 solve using homogeneous equations

A: This question can be solved by taking y=vx and then applying the concept of integration to obtain th...

Q: ove that the Solutm f y+ y = y CX) = A CoJ X + B sinx (hint y by using Bessel's Functron defin

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Q: Compute the following limit. 1-cos(x) x3 as x approaches 0

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Q: 3e"dx 3x 1. 3x – 16 2. x 10 – 3x°dx 3. / In (cos®) an@ de 3.

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Q: 2+2 The solution of this inequality consists one or more of the following intervals (-oo, A). (A, B)...

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Q: Y= (5x1)"(4x²-) こト

A: Given that the relation between x and y.. And use the product rule of differentiation  and then simp...

Q: A trapezoidal trough is 10 ft long, 4 ft wide at the top, 2 ft wide at the bottom and 2 ft deep. If ...

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Q: How many outcomes are possible if you roll four dice?

A: We have to find the number of possible outcomes of the dice rolling event 

Q: dx using the Trapezoid Rule, and n=6. Your answer should be to the tenths place (so of the form X.x)...

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 3edx -16 2.10-3rdr ...

A: We need to solve integrals.

Q: Identify the point (xo, yo) on the line ax + by = c that is closest to the origin. -(유) (хо, уo) %3D...

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Q: xdy-ydx=√(x^2+y^2) dx x=1/2, and y=0 solve using homogeneous equation

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Q: -7 h'(s) (s – 12)2 Find the s values in the interval [-6, 3 where h(s) takes its minimum. S =

A: We have to find the s values in the interval [-6, 3] where h(s) takes its minimum.

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

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Q: Two force vectors act on an object and the dot product of the two vectors is 20. If both of the forc...

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Q: Applications of Maxima and Minima An open rectangular box with square base is to be made from 48 ft...

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Q: In a college meal plan you pay a membership fee, then all of your meals are at a fixed price per wee...

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Q: V5(30+2) V5 arctan 5 15

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). f(x) = 1+ -

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Q: First make a substitution and then use integration by parts to evaluate the integral. (Use C for the...

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Q: Use the limit comparison test to determine whether the series converges or diverges. 8k2 – 6k + 6 16...

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Q: In the given choices, what is not part of the formulas or functions of Integral? A Power function B)...

A: Given :Formulas or funtions of integral 

Q: The volume of a solid bounded by the equations z=x2+y², y=x-2, y=x1/2 , y=0 and the x-y plane is giv...

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Q: For what values of x does the graph of f(x)=2x^3−3x^2−36x−3 have a horizontal tangent line? Answer(...

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Q: Draw a tangent line at a given point on the graph.

A: Here we have to draw tangent lines at a given point on the graph. 

Q: f"(2) 1. Find

A: Given f(x)=43x2-23x+1f'(x)=-23*ddx(x)+43*ddx1x2+ddx(1)        =-2*13+4(-2)x-33+0

Q: et Q(t) = t2. Find a value A + 1 such that the average rate of change of Q(t) from 1 to A equals the...

A: Given query is to find the value of A for which average rate of change will be equal to instantaneou...

Q: Question 1 If 8(x) = 3x2- 4x + 5 ; G(x) =x- 2x2+ 5x , then G is the anitiderivative of f. A True B F...

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Q: Find the minimum value of g(t)=t3−588t+4 on the interval [−7,15]

A: We can find the minimum value as below

Q: 1_dx -1 1-x The integral is an improper integral.

A: We can find the integral as below

Q: (4x3-6х) dx 3. S x*-3x²+2

A: ∫4x3-6xx4-3x2+2dx we know that∫f'(x)f(x)dx = ln|f(x)| +cf'(x) =4x3-6x , f(x)=x4-3x2+2

Q: *(1,). What is the equation of the line that is tangent to the graph of y = at (x³ + 1)?

A: We can find the equation of line as below.

Q: The total cost of producing x items is given by C(x) = 246.73 + 5t dt. Find the fixed cost and the m...

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Q: y = sin(cos 3x) – sin x cos 3x

A: topic - derivative of a function

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 122+ (...

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Q: here having a radius of 3cm. is cut in the shape of a circular cone of maximum volume. is the maximu...

A: Topic:- application of derivatives

Q: A retailer anticipates selling 4,000 units of its product at a uniform rate over the next year. Each...

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Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

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Q: In v3 2e" Ve2a + 1

A: I =∫0ln32 exe2x+1 dxTrigonometric substitution;ex = tan uex dx = sec2u duu = tan-1(ex)x = 0 → u = π4...

Q: Problem 2 Evaluate the limit if it exists or state DNE (does not exist): V4u+1-3 a) limu¬2 u-2 b) li...

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Q: 6x- 8x - 2x-4 2x +1 e. Find the slant asymptote of the rational function f(x)='

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Q: Problem 5 Given the function f(x) = 9 – 2x² a) Calculate the difference quotient at the two points P...

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Q: "Theorem: If fThe mean value of a continuous function over the interval [a,b] is the number 1 m(f:a,...

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Q: Question #4 ( Car A 4 km At exactly 2 PM, Car A is four kilometers east of an intersection and drivi...

A: This question can be solved by using the concept of rate of change of physical quantities.

Q: sin x .2 3 + Cos X

A: Given: ∫sinx3+cos2xdx

Q: 6. Find f'(1) if Ax) = nx

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