3. Slope of a line fr a) Calculate the slope of the line shown in the table. b) f(x) -3 -12 -2 -5 -1 2 0. 16 m = Submit T 1.

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: 4. Find all the first partial derivatives of the following functions with respect to each variable. ...

A: For partial derivative, we only differentiate with respect to one variable keeping other variables a...

Q: 1. f(x) = -|x + 6| + 5 Range: x-int: у-int: Intervals on which f (x) is decreasing: Relative Extrema...

A: f(x) =-x+6 + 5                                      

Q: 3. lim f(x) = -2, 4. lim f(x) = +00, X-2- lim, f(x) = 2 and f(2) = 0 lim 1437(x) = -0

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Q: Evaluate the integral. Show all your work. dx (x² – 1)32

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Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: -11m. ii. cos-1(cos()) CO 6.

A: Given problem:- cos-1(cos(11π6))=?

Q: an be sold at a price of Sp. For x-p"-7p+600, find the rate of change of p with respect t ...

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region a...

A: Given:       y = √(4-x2 )

Q: Inx 2. lim x-1x-1 1 0.9 0.99 0.999 1.001 1.01 1.1 f(x)

A: Find your answer below 

Q: A particular country's exports of goods are increasing exponentially. The value of the exports, t ye...

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Q: 1. Find lim,→0 k e'

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Q: Evaluate the Integral iF the funthun X = = XSin (xy) ニ over the vecfongulor region R- [0,1][1, 2]

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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: Find frxx and fryx for f(x, y) = xty² – x³y.

A: We will find the partial derivatives. 

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper frac...

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Q: 3. lim f(x) = -2, lim, f(x) = 2 and f(2) = 0 4. lim f(x) = +0, g, f(x) = -0

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

A: Topic = Functions

Q: hi

A: 1232Now,32 = 2×2×2×2×2 =4×4×232 = 4×4×2 = 42

Q: Use the Simpson's Rule to approximate the given integral with n= 8. (Find Ss.) Round your answers to...

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Q: Suppose f(x)=x−4/x+1. Write an expression in terms of xx and hh that represents the average rate of ...

A: This question can be solved by applying the formula of average change in a closed interval.

Q: -3x3 5. S V5-x8

A: topic - indefinite  integration note - as per bartleby guidelines we are supposed to solve only firs...

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

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

Q: Any line perpendicular to r(t) = t+ ·

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Q: x+tan x 4. lim X→0 sin x

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Q: sin(tan-1))

A: SOLUTION-

Q: A parallelogram is formed by the vectors [1, 2] and [3, -4]. Find the area of the parallelogram. O 1...

A: Given query is to find the area of parallelogram.

Q: degree

A: We will find the equation. 

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

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Q: Find the vectors T and N and the binormal vector B=TXN, for the vector valued function r(t) at the g...

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Q: Calculate the improper integral if it converges, or show that it diverges. 1 dx -

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Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

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Q: Let  u = -5i + 3j + 3k, v = -4i + 3k and w = 3i - 4j + 3k. a) Find | -4u + v + j |.  b)Find the ve...

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Q: Question Calculate for w = zsin(xy2 + 2z). Do not include in your answer. Provide your answer below:

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Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given m...

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Q: Use the images to determine the multiplicity (or power) for each root:

A: Given graph .               To find:- from graph find zeros with its multiplicity , Degree of f(x) ...

Q: Evaluate the integrals C f (z) dz, where C is the unit circle centered at the origin and f (z) is g...

A: As you have asked multiple subparts so I have answered first three subparts as per the guidelines.

Q: Evaluate thu Integral IF the funcion x = rectongular flaiy) = xSin (x;y) %3D over the region R- [0,m...

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Q: 100 Find the measure of Zx. 113 mZx=° (Type a whole number.) Help me solve this View an example Get ...

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Q: 33x+15 h(x) = x*+11x

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Q: (х — 2)(х + 2)(г+ 1) (г + 3)(ӕ + 1)

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Q: d x 2. 2 dx 5X = 8e when t 0, x = 4 - 8

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Q: Critique the validity of the expression d2y dy dx2 dx A) It is not valid, because the notation d?y d...

A: The objective is to critique the validity of the expression. 

Q: Find an equation y = f(x) for the parametric curve c(0) = (cos(0), 3 cos(0) + 8 sin²(0)) and compute...

A: The objective is to find y(x) and it's it's derivative .

Q: A. ā xb = b x ā B. Jā + 5| = |a + b| C. It is possible for la + b| < [ā|

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Q: For the area bounded by the curves y^2 = 2x and y^2 = -x +6 Determine the area enclosed by the curve...

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Q: A silver dollar is dropped from the top of a building that is 1317 feet tall. Use the position funct...

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Q: A country's production of solar power, in megawatts, can be modeled by f(1) = 440(1.4) , where t is ...

A: This question is related to differentiation, We will solve it using given information. 

Q: cos (sin-(x)] – dx 1-x2

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Q: 3.

A: Given that, There are two equilateral triangle. Area of small triangle is 64(3)1/2 m2. Distance betw...