Using an appropriate substitution, 3 the integral S dx equals: /1-4 (х-1)2

Q: robability density function e(, z€ (-, 00) 1 or the normal distribution, the mean u is zero, and the...

A: This is a problem of derivative of the function and finding tangent line equation. 

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

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Q: 5. f(x) = S2e* + 1 if x # 0 0 if x = 0 at x = 0

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Q: 8x dz +C %3D

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A: A function is continuous in an interval if there is no break in its graph over that interval and it ...

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Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

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Q: The derivative of the function () y = In is: tan x,

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Q: Show solution. 1. Below is the graph of f(x) = |x]. Using the right side of the function with the eq...

A: The given function,   y=x

Q: QIAnswer the following equation ,your answer should be like :(x=4)(y=9)(z=6)? * .write it in the sho...

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Q: x²–1 For S dx,x

A: Given,             ∫x2-1xdx

Q: Using an appropriate substitution, 8tan-1x the integral J dx equals: 1+x2

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Q: dy a a 1+ Vy + 1 5+ aln:

A: First I have used a substitution and make integral easy and then solved it.

Q: Evaluate the following integral sin(2z) dr.

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

Q: Using Reciprocal Substitution * For S Option 1 Option 2 - (1 - 4t) + c

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Q: 1. Use the 8 step algorithm for c following function and to sketch 2 x +2x-4 d(x) %3D 2. Step 1: Res...

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Q: Question 3 Find lim (x2– 4x+ 3). The Limits is Blank 1. x-5 Blank 1 Add your answer

A: Here is the solution:

Q: Evaluate the given definite integral by any applicable method. * 11. | ° cos³y sin³y dy 2 b.: 30 1 d...

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: Q1. This question asks to find the average value of a function (see Lecture 10). (i) Find the averag...

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Q: Solve (y- Vx² + y² )dx – xdy = 0 When: x= 0, y = 1

A: Explanation of the answer is as follows

Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: 2x + 8, x 8 (i) f(8)= (ii) lim f(r)= (iii) lim f(x)= I 18+ (iv) Justification Answer=

A: To find out the f(8), left hand limit, right hand limit, and also justify the answer. 

Q: 1. f(x)=5x² – 30x 2. f(x) = 2x +12x² +4

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Q: Given f(x) = 2x and g(x) = 4x + 5, evaluate each expression. %3D (a) fg(0)) (0) r(o(글) (c) g(f(0)) (...

A: Given; fx=2x3 & gx=4x+5   (a). First, we have to find g0. So, g0=40+5=0+5=5  

Q: -1 For f dx

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Q: Find the area of the triangle with vertices P(1,6, –3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter the era...

A: Solve for the area of triangle with vertices

Q: The derivative of the function y = In is: tan x.

A: Given query is to find the derivative if the expression.

Q: for power substitution method, next step is * . For S(y + 2) /2 – 3y dy - (u² + 2) (2 – 39)")}(3u'du...

A: Find out the correct power substitution. 

Q: 15-20 1 Solve the initial-value problem. 15. x²y' + 2xy = In x, y(1) = 2

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Q: Evaluate the given differential equation. Show your complete solution. 2 (2a? + y?) dx – xydy = 0 an...

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Q: 2- 3x +8 2-X2C

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Q: Evaluate the integral. In(12 x 11) dr

A: We use integrated by parst and solve the given integral.

Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R'(...

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Q: 100 venicies showed that 00 Tlad Tes with low press with Dald lore, 30 Tiad tires WILIT DOlI and bal...

A: We will find the number of vehicles with such tires. 

Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

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Q: Determine the value of c such that the function is a probability mass function. h(x) = cx(x – 1), x ...

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Q: Question 21 Evaluate the first derivative of the implicit function: 4x2 + 2xy + y² = 0 4x +y (A x +y...

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Q: 6 The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not de...

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Q: The population of a city in New Hampshire can be modeled by P(t) = 23c.07t thousand persons, where t...

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Q: Exercise 1 In each of the following, use Lagrange multipliers to find the critical points and the re...

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Q: Use implicit differentiation to find an equation of the tangent line to the ellipse at the given poi...

A: Given problem:-

Q: dy For f vỹ+'Y = vy+/ O y = u^2 O y = u^4 O y = u^(1/2) O y = u^(1/4)

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Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +...

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Q: .5 x dx 8. f 3 x2 - 5 A. In5 B. In16 C. In /5 D. In 4

A: Given: I=∫35xdxx2-5   ....(1)   We know that; The logarithmic rule; 1). logaxb=b·logax 2). logbmn=lo...

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A: Find your answer below 

Q: If f (a) = 3, then if lim f(r) exists, it equals 3. %3D For those who have trouble viewing the Mathe...

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Q: Consider the parallelepiped with adjacent edges u = 9i + 6j + k v = i+j+7k w = i+ 6j + 6k Find the v...

A: The given equations are,  u=9i+6j+k v=i+j+7k w=i+6j+6k.

Q: Question 2 For the function g graphed in the accompanying figure, find 8 (0). y = g(x) g (0) is Blan...

A: For the function g graphed in the accopanying figure, to find g0.