-dx x´ +2x+3

Q: 11. Verify that the conclusion of Clairaut's Theorem holds for the function: f(x, y) = e*Y sin(y)

A: The given function is: fx,y=exy siny To verify that the conclusion of Clairaut's theorem hold for th...

Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-8 Select the correc...

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Q: Find the maximum rate of change of f(x, y) = In(x² + y?) at the point (-4, -3) and the direction in ...

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Q: sin(tan-) -

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Q: Solve each triangle. Nearest tenth.

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Q: 2. Define a set X as X = RU {-}. Define two binary operations over X as follows: Addition:x O y = ma...

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Q: Given y = f(u) and u = g(x), find dx = f'(g(x))g'(x) for the following functions- y = sin u, u = 4x ...

A: Please see the solution given in step 2

Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at x...

A: Topic = Functions

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. 7" Σ ...

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Q: 1 2 3 4 5 6 7 8 9 10 11 12 13 1500 12 Sarah needs to cover a triangle that has a base of 34 inches a...

A: This is a basic geometry problem

Q: To the nearest tenth, what is f′(k) if f(x)=0.09e^xln(x) and k=8?

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Q: Express the surface area of revolution for: x = (y^4/4) + 1/(8y^2), 1 ≤ y ≤ 2; x@axis ( Express ds= ...

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Q: Express the vector t as a linear combination of the vectors u, v and w: t = (5,30, –21), и %3D (5,2,...

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Q: x-4 Evaluate the integral x²-5x+6 = (x-2)(x-3) х2-5х+6

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Q: hi

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

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

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Q: Calculate the limit or show it is nonexistent. ry²e lim (r,y)→(0,0) x² + 4y4

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Q: Evalate the limit 6. lim (e + x)²/x

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Q: Show that the equation has exactly one real root. 3x + cos(x) = 0

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Q: Find the distance from the point (3, 3, 5) to the plane 3x - 3y + 3z = 5. Leave your answer correct ...

A: topic- distance of a point from a plane 

Q: Evalvate the limit lim Cosx In(x- In

A: Given that: limx→π+cosx.ln(x-π)ln(ex-eπ)

Q: Differentiate. y= log (x +x) log (x +x) = D dx

A: We can solve the differentiation as below.

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

A: All the solutions are given below.

Q: Find the differential of each f (a) y = 1 + 4s dy =

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find an equation of the plane that passes through P(4, 2, – 3) and is perpendicular to the line x+1 ...

A: Given that the plane is passes through the point (4,2,-3) and perpendicular to line x+1-3=y-12=z2

Q: Evaluate the integral S - dx V16-x2

A: Evaluate the integral of the integrand  x2/√(x2-16) .  

Q: If f(x) 3 sin '(2), then f'(x)-

A: Given that: f(x)=3sin-1(x5)

Q: Write your answer on a piece of paper with your name on it. Snap a picture, then upload your answer....

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Q: Evaluate the limit (inx)" 10 lim x+5+(In 31x+10+(Inx) ×つ

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Q: Solve the given initial-value problem. 7y2 y5 t2 t 0, У(1) 3D 1 2y4 dy dt

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Q: (please show work) A baseball team plays in he stadium that holds 68000 spectators. With the ticket...

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Q: Compute Ay and dy for the given values of x and dx = Ax. (Round your answers to three decimal places...

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Q: Of all the points on the graph of z = 10 - x^2 - y^2 that lie above the plane x + 2y + 3z = 0, what ...

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Q: Show that V is a subspace of R³: V is the set of all (x, y, z) such that z = 2x + 3y

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Q: 1. Revenue is calculated by multiplying the price of an item by the quantity sold: Revenue = Price •...

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Q: а. f(x) %3D х-5

A: Given: a) x-5  

Q: Find the equation(s) of the tangent line(s) to the graph of the indicated equation at the point(s) w...

A: Given :xy-2x-8=0x=2

Q: A contour map of a function is shown. Use it to make a rough sketch of the graph of f. y A 14 13 12 ...

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Q: 1-cos x lim sin x x→0

A: Given: limx→01-cosxsinx

Q: If F(x) = f(g(x)), where f(−1) = 5, f '(−1) = 2, f '(−3) = 3, g(−3) = −1, and g'(−3) = 6, fin...

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Q: 10n Consider the series Evaluate the the following limit. If it is infinite, type (n + 1)62n+1 n=1 "...

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Q: c. Describe in words the meaning of the question "For what value of Tis f(T, 20) = -49?" Then answer...

A: Find your answer below 

Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4  

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 +1) 2)(x +2)(x (x + 3)(x+ 1)

A: Let,  f(x)=x-2x+2x+1x+3x+1

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: 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: Use Integration by parts to aompute the ntegral from! (4x)dx and 3 Inxdx

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Q: Use implicit differentiation to find y' and then evaluate y' at (-3,1). x2 - 9y = In y ... y' =D y'l...

A: Given: x2-9y4=lny   We know that; The Sum rule: f±g'=f'±g' The Power law: ddxxn=nxn-1