9 lim + -8-+ I+8 1² + 7x –8,

Q: 22 Find the Maclaurin series for f(x) = 1+x 22 :? 1+x What is the Maclaurin series of

A: Given:     f(x) = 22/1+x 

Q: Given the points G(1, –1, 3), H(-1, 2, 1), and K(4, 1, 1), find GH + GK ) × GH · ( GH + HK -23 31

A:

Q: 2x+9 10. S x2+6x-4

A: Follow the procedure given below. 

Q: The following three vectors are coplanar: (3,5,6), (6,10,12), (-3,-5,6) True False

A:

Q: (x +1) 2)(x +2)(x (x + 3)(x+ 1)

A: Let,  f(x)=x-2x+2x+1x+3x+1

Q: 2. Sketch the graph of f' given the graph of f. Explain how you found the answer. y 10- 9- 5- -10-9-...

A: The objective is to sketch the graph of f'.

Q: St³ In t dt

A:

Q: oint (, y; 2) is tiver by The temperature at a point (x, y, z) is given by T(«, у, 2) — 1500е s me w...

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Q: x'y 26. Let f(x, y) = x* + y? %3D (a) Show that f(x, y) → 0 along every line through the origin. (b)...

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Q: 8. Evaluate the limit. VI +5+ (In x)10 3/T+10+ (In x)20 (a) lim

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Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x ...

Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

A:

Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818...

A: Let x=0.904818181818... Multiply 1000 on both sides.

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 9, 7/(x-1)^1/3 dx ...

A: The integral is  ∫09 7(x-1)1/3dx

Q: 1. Find an equation of the line that is tangent to the graph of f and parallel to the given line. 1 ...

A: The guven function,  f(x)=1x-1, x+2y+7=0

Q: Se2*dx 8.

A:

Q: Each of the following statements is an attempt to show that a given series is convergent or divergen...

A:  

Q: dz Use the Chain Rule to find dt for z = x? + y? + xy, x = sin t, y = et.

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Q: Evaluate and state limit laws used

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Q: dy (8y – a²y) + x – xy² = 0 dx

A:

Q: 21. 22. (D' + D - 9D' – 13D² + 8D + 12)y 0. Ans. y Ce+cze

A: We will solve the given differential equation.Below find the solution in the image.

Q: Get the derivative of dz/dx. XY z =

A: Here we will find the derivative dz/dx,

Q: Determine whether the integral is convergent or divergent. The integral from 0 to 11, 1/(11-x)^1/3 d...

A: The given integral is  ∫011 1(11-x)13dx  

Q: 6. f(x) = 3sin (x +) + 1 Transformation: Domain: Range:

A:

Q: Express the repeating decimal as a fraction. 0.101010...

A: Given :0.101010...

Q: The temperature T (in °C) at a location in the Northern Hemisphere depends on the longitude x, the l...

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Q: Gravel is being dumped from a conveyor belt at a rate of 25 ft3/min, and its coarseness is such that...

A: This question is related to cone and rate of change, we will solve it using given information given ...

Q: If x2+y?+z? = 9, dt dx dy = 7, find zp dt when (x, y, z) = (2,2,1). = 8, %3D %3D dt dz dt X when (x,...

A: Given x2+y2+z2=9dxdt=8, dydt=7     

Q: (f) / sec“ y dy. tan5

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Q: ā xb = 6 x a а

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Q: integral f t^3 In t dt

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Q: e20 do 10. 1+ 3e20

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Q: Find the linear approximation L(x) of the function g(x) = V1+ x at a = 0. L(x) = Use it to approxima...

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Q: 2х-3 3. у %3 Зx+4

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Q: Extension Question 2: What would happen if there was a cubic function inside the logarithm? Explair ...

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Q: Show that V is not a subspace of R³: V is the set of all (x, y, z) such that x + y + z = 3

A: We need to prove that V is not a subspace of R3  .Below find the solution in the image.

Q: Find a simplified form of the difference quotient for the function. 8 f(x) = x2

A: We have to find simplify form

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: ey are linearly dependent, find scalars a, b, and c, not all zero, such that au + bv + cw = 0 u = (1...

A:

Q: 4. f(x) = e*-1 + 2 %3D Domain: Range: Equation of Asymptote: End Behavior: lim f(x)= lim f(x)= X-0

A: f(x)= ex-1+2 The domain of a function is the set of inputs accepted by the function. for every value...

Q: 1+x2+y2 Determine the set of points at which the function F(x, y) = is continuous. 1-x2-y2

A: In this we have to check Discontinuity of equation. 

Q: I ... LL #3 The amount, A mg, of caffeine in the body t hours after drinking a cup of coffee can be ...

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Q: x²dx x3+ 4

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Q: This question has several parts that must be completed sequentially. If you skip a part of the quest...

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Q: a/2 2. Evaluate f[(e)i-2sin(t) j+3cos(1)k]dt

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Q: Evalvate the limit lim Cos x In(x-) -IT メーフクT ne-e

A: The given limit is: limx→π+cosx lnx-πlnex-eπ To evaluate the given limit.

Q: Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms. Se...

A:

Q: sin x lim 1-e* x→0

A: Given query is to find the limit of the expression.

Q: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon

Q: Does the parabola y = 3x - 26x + 4 have a tangent whose slope is - 2? If so, find an equation for th...

A: