Find all the second-order partial derivatives of the function f(x,y) = 6x² + 4y + 7x²y².

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A: we have given ideal gas equation PV=8.31T

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Q: 13ry lim (z,y) → (0,0) 15x² + y² Find the limit Enter DNE if the limit does not exist. along two…

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Q: Find the r(t) = (3 cos(t), 7 sin(t)) at t = 0. curvature of the curve defined by

A: The given curve is r(t) = 3cos(t), 7sin(t). We have to find the curvature at t=0.

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Q: Find dz dt dz dt z = x¹, x = t³, y = −5+ 4t ce4y, || given: Your answer should only involve the…

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Q: Find the surface area of the part of the plane z = 5 + 6x + 3y that lies inside the cylinde x² + y²…

A: Area=∬D1+∂z∂x2+∂z∂y2

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Q: An open-top rectangular box is being constructed to hold a volume of 250 in ³. The base of the box…

A: Let base length=x inLet  base width=y inLet height of box=z in Figure

Q: Describe all the x-values at a distance of 18 or less from the number 11.

A: Describe all the x- values at a distance of 18 or less from the number 11.

Q: Part a: Assume that the height of your cylinder is 8 inches. Consider A as a function of r, so we…

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Q: Simplify the expression. √108r4+√48x4 Enter the exact answer. Hints: 24 • You can write exponents…

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Q: Find the arc length (s) of the curve S = r(t) = (4 sin(5t), 2√3 cos (5t), 2 cos (5t)) for 0 < t <a

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  and the given…

Q: a = 34, b = 69, a = 74°

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Q: Find the tangent plane to the equation z = 2x² + 3y² - 3y at the point (-4,3,-14

A: The equation of tangent plane of f( x , y , z ) at point ( a , b , c ) is given as  fx( x - a ) +…

Q: Evaluate √₁² cy² ds where C' is the right half of the circle x² + y² = 16

A: Solving the problem.

Q: Convert the angle 3π 4 from radians to degrees. degrees

A: NOTE: Refresh your page if you can't see any equations. . the given angle is

Q: Evaluate the integral. Check your answer by differentiating. (Remember the constant of integration.)…

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Q: Question The graph of f(x) is shown in the figure. Using the sliders, highlight any range where…

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Q: Part 1: Partial Fractions Use the partial fractions method to express the function as a power series…

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Q: Let f(x,y)=x²y+√y 2. Find each value d. ƒ(a‚aª) e. f. ƒ(2,-4)

A: fx,y=x2y+y

Q: If f '(x) = 8x7, what is f(x)? (Remember the constant of integration.) f(x) =

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Q: 1+√/2.y=+√21+3, -√2 s1s √/2 about the y-axis. Find the area of the surface generated by revolving…

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Q: Use the graph of y=f(x) shown to the right to graph the following function g. g(x)= -f(x-4)-1 Choose…

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Q: Year: Month: Date: Ex:-find the are. How Length x=y² oxy 51 Sa Su Mo

A: Arc length  = ∫y=ay=b 1+dxdy2 dy

Q: Replace the Cartesian equation x² + y² = 49 with an equivalent polar equation. An equivalent polar…

A: Polar system.

Q: 4 B C D 1 3 t ST 3 7 T 4

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Q: 35 T At what point does the terminal side of an angle, with a measure of 6 the unit circle? A B C D…

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Q: Evaluate the integral. 2 [²(x - (y- - 3)(2y + 3) dy

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Q: TT -S" "7 Siny dydx. 0 y X Let I= a) Sketch the region of integration. b) Setup the integral I in…

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Q: 1. Let f(x,y)=x²y + √y Find each value a.f(2,1).b.f(3,0).c.f(1,4)

A: We have to find the value of the function for the given points, f(x,y) = x2y + y points : f(2,1)…

Q: Find the absolute maximum and minimum of f(x, y) = 5x + 5y within the domain x² + y² ≤ 2². 1.…

A: Concept: Absolute maxima of a function refers to its highest point within its whole domain, whereas…

Q: Use L'Hôpital's Rule (possibly more than once) to evaluate the following limit lim sin(14x)-14x…

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Q: Find the length of the curve (t) = (et c Arc length: = (et cos (‡), et sin (#), e) for 0 ≤ t ≤ 1. =

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Q: Suppose that f(x, y) = 9x + 2y at which {(x, y) | − 1 ≤ x ≤ 3, − 1 ≤ y ≤ 3}. D Q Then the double…

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Q: Find the curl of the vector field F = (4y cos(x), 2x sin(y)) curl F = Calculator Check Answer

A: F¯=4ycosx, 2xsiny

Q: Question 1 Let R be the region bounded by y=x, y=2x, x=1, x=2, and I= SS. - dA. 6 y x² + y² 2 a)…

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Q: Simplify the expression. Enter the exact answer. Hints: √108x4 +√√48x4 • You can write exponents…

A: Given expression is,

Q: A patrol car is parked 60 feet from a long warehouse (see figure). The revolving light on top of the…

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Q: Find the direction in which the maximum rate of change occurs for the funct f(x, y) 4x sin(xy) at…

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Q: Find if the series converges and if it does and you can find the sum, find it:

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2.) = x³ - 6x² +9x+2. Find the relative minimum/maximum, on · g(x) = x³ - 6₂ what interval is…

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Q: What is the value of sec¹(2)? A B C D 5 T 되어 3 -- 3 3 5T 3

A: Let sec-12=x  then     secx=2 As secant is the reciprocal of the cosine function, i.e.…

Q: 4. f(x) = x³ - 2x² - 4x+2, [~1,0] find the absolute maximum and minimum

A: Given: f(x)=x3-2x2-4x+2 We are required to: Find the absolute maximum and absolute minimum value of…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: Given: R(x,y)=80x+120y-2x2-3y2-xy We are required to find: The marginal revenue…

Q: Convert the angle 315° to radians. Give the exact valu and use pi for π.

A: Given angle θ=315°