1dx

Q: 5. y = xArctanx - In VI+x

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Q: Find r²e* dx.

A: Since the student has posted multiple questions and does not mention any specific question, so we ar...

Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 ...

A: Solution: center (h,k) = (-5,3) tangent to the line x-axis 8-2x=2 so, x= 3 &y=0 (3,0)

Q: An insurance company typically offers discounts for purchasing larger amounts of life insurance cove...

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Q: (14) = (x – y + 5)? dx dy %3D dy (15) (x² – y²)" – xy = 0 dx dy (16) 2xy = x² + 2y² %3D dx

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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: Find an equation of the line which is tangent to the circle z + y - 4x + 6y – 12 = 0 at the point (5...

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Q: Find the area of the triangle with vertices P(1, 4, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the ex...

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Q: Let a = ci + jand b = 3i + 6j. Find c so that a and b are orthogonal. %3D c = i If L is a line in 2-...

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Q: 2 Determine the equation in the form (x) kx for the function with a vertical %D asymptote at x = 1 a...

A: The function with vertical asymptote at x=1 and y-intercept at -1.

Q: cos2x – sin2x cos2x -dr=-F(x)+c•\ For + C: What is F(x)? cosx - sinx 3 1 (sinx – cosx) O (cscx – sec...

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Q: Find the area bounded by the x- axis and the graph of the function f (x) = 4x² + 8x +1,0 <x 3. (4 II...

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Q: 11 11 | 6g (x) – 10f (x) dæ given that f (x) e dæ -7 and g(x) dx - 24. 9.

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Q: Solve the following. 1. Consider the curve of the function f (x) = 2x2 a. Find an expression for the...

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

Q: he function C(x) = 0.002x² + 80x + 8000. (a) Find the average cost function C. C = (b) Determine the...

A: Topic:- application of derivatives

Q: The volume of the solid formed by rotating the region under the curve y = V5x from = 1 to x = 10 can...

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Q: Use implicit differentiation to find the 2nd derivative of x2 y + y2 x=-2

A: By using implicit differentiation to find the 2nd derivative of x2y+y2x=-2.  

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: 5. y = XArctanx - In Vi+x

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Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: Find the three positive numbers whose product is 27 such that their sum is as small as possible.

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

A: Let's find. 

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. O ...

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Q: 4. Determine where V(z) = z*(2z – 8)³ is increasing and decreasing.

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Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: Let {an}=1 be a convergent sequence such that a1 = V5 and an+1 V5 an. Compute lim an.

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Q: A draining reservoir has the shape of an inverted right circular cone with a base radius of 30 m and...

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Q: Evaluate the flux integral F.S S where S is the surface given by 22 = x? + y?, 0 < z< 4, oriented up...

A: We have to find the flux integral according to the given information

Q: Evaluate the integral. Answer should be expressed as a decimal value (5 decimal places, example 0.01...

A: Put y =5secthetha and solve it. 

Q: The sum of squares of two consecutive odd numbers is 130. Find the sum of the numbers. Let: x = 1st ...

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Q: 6. . Suppose that Y,,Y,..Y, form a random sample from a distribution for which the p.d.f. is as foll...

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Q: 3. The diagram shows a cuboid that is formed by bending a long wire of length 336 cm?. 3x (b) If the...

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Q: 10. Find, among all right circular cylinders of fixed volume V, the one with smallest surface area (...

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Q: True or False Any whole number is divisible by 3 if and only if the sum of its digits is divisible ...

A: We have to find the our statements are true or false

Q: m m n т +n b. E k i) k - i=0

A: Please see the below picture for detailed solution. 

Q: In Example 2 we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767...

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Q: The slope of the tangent line at any point (x, y) on a curve is 2vx. If the point (9, 3) is on the c...

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Q: The population density r miles from the center of a certain city is p(r) = 5e 0.1r people per square...

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Q: Determine the convergence or divergence of the following series. 1 (a) Σ (Use Integral Test.) n(ln n...

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

Q: If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

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Q: Substitution Method (15) (x² – y²) - xy = 0

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: 8. y = In(x + V +1)

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Q: 2 + x², -2 <x< 0 1. f(x)dx; f(x) = -x + 2, 0<x<4 -2 2

A: Given query is to find the value of the integral.

Q: Find the area of the region bounded by the curve y=1--x? and the x-axis. 8 square units 4 square uni...

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Q: cosx - e Sinx te sinx +x nsinx The integral -dx may be written as me' +px + qe"* + C, where m, n, p,...

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

A: Let's find. 

Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the...

A: we have to find the value of A. 

Q: Consider the function f (x,y) = x³ – 3xy + y³. Find all critical points of f and determine whether t...

A: