1 1 Зп — 1 3n + 2 n=1

Q: Evaluate the integral. Tt/3 V1 + cos(2x) dx

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Q: 4.  Find the area of the circular sector given a central angle of pi/5 and a radius of 3 inches.

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Q: Question 17 The graph of the function y = f(x – 51) can be obtained from the graph of f(x) by one of...

A: QUESTION- The graph of the function y= f(x- 51) can be obtained from the graph of y= f(x) by one of ...

Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 2, b =...

A: Given problem:-

Q: The integration expression sin(3In(x)+ 4)cos(3ln(x) + 4)dx must be transformed into using suitable c...

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Q: 2 find the Voleime Cf the solid generated by revolving the region bainded by the given lines and Cer...

A: The region is bounded by,y=25-x2 ; y=0; x=0; x=5 about x-axis

Q: local extrema, if the test applies. Otherwise, use the First Derivative Test. f(x)=x^4+8x^3+2 Enter...

A: Given query is to find local extrimas.

Q: Given f(x) = 1 find the average rate of change of f(x) on the interval [6, 6 + h]. Your answer will ...

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Q: Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* – x)dy = 0

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Q: Set up the definite integral required to find the area of the region between the graph of y = 12 – x...

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Q: A person starts walking from home and walks: 5 miles East 5 miles Southeast 6 miles South 2 miles So...

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Q: A rectangle is bounded by the x-axis and the semicircle in the positive y-region (see figure). Find ...

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Q: A particle is moving in the velocity of v(t) = . Find the torsion of the particle's movement. Leave ...

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Q: Evaluate the integral using formula was (from the 1page differentiation & integration formula) by le...

A: Hint : 1. Use substitution : ex = t. This integral will turn into a standard Integral.

Q: Which of the following integration expression can be transformed into integral of power (Ju"du). (c ...

A: A

Q: Using the ε − N definition of a limit, prove that  lim n→∞  (6n^3 −2n+1)/(2n^3 + 1) =3.

A: Given the limit function for provinglimn→∞6n3−2n+12n3+1=3

Q: Differentiate. Simplify the answer. F(x) = 1+ xex

A: This question can be solved by applying the quotient rule of differentiation

Q: - 2ry? = 0, y(0) = -1. The interval I of definition os (D) (-∞0, 0).

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Q: Consider the following curve. RO) = Determine the domain of the curve. (Enter your answer using inte...

A: Given f(x) = x-3x2  to find local minimum values, find the values of x when f'(x) = 0

Q: The function f(x) = x² + 1 satisfies Rolle's Theorem in the interval [-2, –0.5]. - x² Select one: O ...

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Q: y’ = 3x^2e-y   solve

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Q: 1. What is the sum of the measures of the interior angles of an octagon?

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: A grain silo has the shape of a right circular cylinder surmounted by a hemisphere. If the silo is t...

A: Given:     Volume = 516π 

Q: Calculate the double integral of f(x, y) = 2 – 8x over the triangle with vertices O = (0,0), A = (3,...

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Q: find solutions of these differential equations: a. (xy^2 + y − x)dx + x(xy + 1)dy = 0

A: Given differential equation is (xy2+y-x)dx+x(xy+1)dy=0 Find the general solution of the DE

Q: tanx dr 7.

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Q: +o0 2" +1 3" +n n=1

A: Let's find. 

Q: Consider the function f(#) For this function there are two important intervals: C 4x 42 and (A, x) w...

A: Here, the given function is: f(x)=2x+54x+2

Q: Evaluate the integral. S coth 7x) dx A) In sinh 7x *C B) In lanh 7x +C © } csch' 7x + C 7 In

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Q: For both exponential and log functions the base az1. 1) Explain what the exponenial function would l...

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Q: Find the derivative of the following. f(x) =In(tanx) h(x)= cot- tanx

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Q: 3 Use Descartes' Rule of Signs to determine the possible numbers of positive and negative real zeros...

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Q: Consider u(y) = |y – 2| – 2 on 0 < y < 4. Absolute Maximum value at y = Absolute Minimum value at y ...

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Q: (x+1)dx 9. S x(x²+1)

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Q: Prove that 75+75.175-110-25.882 is 66.06

A: solution

Q: Set up the definite integral required to find the area of the region between the graph of y = x² – 2...

A: Given: y=x2-20 &amp; y=2x-5 Now find the point of intersection between the given curves; x2-20=2x-5x...

Q: 3. [xsechtr'dx 5. (secht2tdt

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Q: Compute the following limit. 2x-3 as x approaches o x-3 O 2 3 4 1

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Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. %3| %3D | (b...

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Q: For the following functions y = f (x), find f ′ (a). f (x) = 3x2 − x + 2,      a = 1

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Q: Suppose that h is integrable and that , h(r) dr = 0 and ſ, h(r) dr = 6. What is h(r) dr ?

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Q: Evaluate the following. 1. lim (2x – 11) x-4 x+4 2. lim x-2 l(x-1)(x+2),

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Q: Given w = xysin( z²), x = s-t, y= s2, z = t². Use the Chain Rule to find 2.

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Q: 2. S dy 3ylny/9ln²y-25

A: To evaluate the integral: I=∫dy3y ln y9ln2y-25...(1)

Q: Next question If a function s(t) gives the position of an object at time t, the derivative gives the...

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Q: a) Determine the dimensions of a rectangular tank, without a top, with minimum surface and a fixed v...

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Q: Find all points on the graph of f(x) = 12x-21x+9 where the slope of the tangent line is 0. .. The po...

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Q: As the prize in a contest, you are offered $30,000 now or $58,800 in 9 years. If the money can be in...

A: Given     investment=$30000 Time (t)=9yeays Rate (r)=7% Here compound annually so  A1=P(1+r/100)^t P...

Q: The factorial of a positive integer n, denoted n!, is equal to the product of all integers between 1...

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