+00 Q11: Given that f f(x)dx = 1 where f) - x>0 . The value of c is %3D ISO a) + b) 1 c) - 1 d) 3

Q: Evaluate: L-1 1 S2s-9) 2+2. th CamScanner

A: Let's find.

Q: dx, n = 5 x2 M5 = Need Help? Read It

A: Midpoint rule

Q: Consider the integral + 2) dr (a) Find the Riemann sum for this integral using right endpoints and n…

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Q: (A) Estimate the area under the graph of f(z) = 25 – 22 from z = 0 to a = 5 using 5 approximating…

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Q: Evaluate the double integral over the given region. 4x sin xy dA, R: 0sxST, Osys1 R O A. 4x O B. 4x…

A: solution

Q: y = V(4x – x²) (1+0.25x + 0.25 sin(x))

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Q: sec? r, Find the volume of the solid obtained by rotating the region bounded by y = T = 0, x = and y…

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Q: Find the plane determined by the intersecting lines. y = 2+2t y = 1+ 2s z= 1- 4t L1 x= - 1+t L2 x=1-…

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Q: Find the sum of the first 100 terms in the arithmetic series 1+2+ 3+4 + ... + 100.

A: To find the sum of first 100 terms of given arithmetic  series.

Q: The volume of water in a right circular cone of base radius 6 inches and height 18 inches decreases…

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Q: 1. Evaluate the following integrals. dx Vx4 – 2x2 + 1 а.

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Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A: Let's find.

Q: A particle started to move from the origin along a curve with velocity given by the function Cos T…

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Q: Find the moving trihedral of the curve 7(t) at the indicated value: 7(t) = cos? t î + sin? t ĵ + 1…

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Q: 1 2. - 2 ( x+ 1) 2 xp-

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Q: Rationalize the denominator. Vx - 9 6/x

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Q: The edge of a cube was found to be 20 cm with a possible error in measurement of 0.2 cm. Use…

A: As we know the surface area of the cube is; S=6a2                            ...(1) Where 'a' is the…

Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

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Q: Find the differential dy: y = In(sec² ( 3"-2*+5)). Find the differential dy: y = In(sec? ( 3-2x+5…

A: We have to differentiate given function

Q: 3. a) Describe the translations applied to the graph of y= x² to obtain a graph of the quadratic…

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Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

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Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Let f(x, y, z) = xy + z°, x = r + s – 61, y = 3rt, z = s'. Use the Chain Rule to calculate the…

A: Given;  f(x,y,z)=xy+z3, x=r+s-6t, y=3rt, z=s5.

Q: Show complete and orderly solutions. Simplify all final answers whenever possible. Using…

A: L(Cosh at).

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = e 2x2 + y? - 8x…

A: To find out all the local maximum, local minimum and saddle points.

Q: V9 – x² .2 .2

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Q: Find the determinant of the following: 2 0 41 1. I. -2 3 1 1 2 4 l4 4 2] 4. 4 5 -2 -3 4 5 4 61 2. -1…

A: A detailed solution is given below.

Q: 6. (D2 – 6D + 8)y = e2x + sinx %3D

A: The given differential equation is: D2-6D+8y=e2x+sinx   So, the auxiliary equation is: m2-6m+8=0

Q: Find the Indeflnite Integral. dx Step 1 Observe that Is the derlvative of x. Let g(x) Multiply and…

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Q: (iii) Extremum point(s), (iv) The interval of concavity, (v) Inflection point.

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Q: Given the function f (x) = %3D x - 4 Find the interval where f (x) is increasing or decreasi

A: Given: f(x)=xx-4

Q: 6y dx dy

A: x limit  x=y2and y is from 0 to 1 Option B

Q: 3. Consider the vector field F(x, y) = (2xy, r² – sin y). Evaluate %3D F. ds C where C is the curve…

A: We have to Evaluate given term.

Q: Approximate the area between the graph of f(x)=x^3 and the x-axis on the interval [3,5] by using a…

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Q: Find and sketch the domain for the function. foxy) = - 25) ( - 4) Find the domain of the function.…

A: function f(x,y)=(x2-25)(y2-4)

Q: What is an exponential function and a logarithmic function?

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Q: [2 -37 -2 0 For matrices A=| 0 2 the matrix 3(A +2B) is equal to? ' 2. 3. and B = 1 -2

A: Topic: Matrix addition and scalar multiplication

Q: II. Find the Inverse Laplace of the following 2s-9 d. s² +2 1 е. (s²+1)(s²+4s+8)

A: As we know the Laplace transform identity; 1). L-11s2+a2=1asinat 2). L-1ss2+a2=cosat 3).…

Q: (1+ɛX) dx FA0 V = (1- X)2 kC, AO 0.

A: Given that      V =FA0κCA02∫0X(1+εX)2(1-X)2dX                        let us assume 1-X = t…

Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: Use the substitution x = 3 sin t to evaluate the integral f V9 – x² dx. | Note: Use C for an…

A: Given; I=∫9-x2dx   ...1   Use the trigonometric identity; 1). sin2x+cos2x=1 2). cos2x=2cos2x-1 And…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: The objective of the question is determine Mn.

Q: Find the sum of the series. 00 5n Σ 9"n! n = 0

A: we know  ex = 1+ x/1! + x2/2! +.....

Q: Find the average value of the function f(x)=3x^5 on the interval 2 ≤ x≤ 6

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Q: 2. Evaluate ř(t) dt: 4 4t ř(t) t2 + 5t + 6' î + 2e4t cos t j - k; a = 0 and b = 4 t2 + 1

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Q: 4 y = ,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n c. u.)

A: This question is based on finding volume of solid.

Q: .9

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Q: e) f(x) = 3x2 – 7 g(x) = 2x+3 find f(g(x)) %3D

A: Find f(g(x))

Q: ppose a compa headsets, the cost and revenue functions (both in dollars) are given by C(x) = 32,000…

A: Profit = revenue - cost Px=130x-0.001x2-32000+60x=-0.001x2+70x-32000

Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error