Find the ane between the planes x-2y-3z=2 and 3x-y-2z=4 a) 142 degrees b) 94 degrees c) 38 degrees d) 86 degrees

Q: Determine €1 dx for the following equations. Simplify your answers. b) 3x² + 4xy-7y=8

A: The given equation 3x2+4xy-7y=8. We have to find dydx.

Q: sin(θ)=3/4, and θ is in Quadrant II, what is cos(2θ)?

A: Given: sin(θ)=34Solve for (θ).(θ)=sin-134(θ)=48.59 and (θ) = 131.41 degrees.

Q: Prove: Proof: lim x 0 (x² cos (²7)) = 0. COS

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Q: ay Use the Fundamental Theorem of Calculus to find where dx dy dx || " 1x - Sob cos (u³) du. cos(x)…

A: Giveny=∫cosx1xcosu9du

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Q: If sin(x) = fractions and radicals only, no decimals. You do not need to rationalize the…

A: sinx=-27 and x is in quadrant III.

Q: 2. Evaluate the integral. [x³√√x² +1dx

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Q: Prove that if (c, f(c)) is a point of inflection of the graph of f and f" exists in an open interval…

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Q: Evaluate [₁x (x + y)ds where C is the straight-line segment x = t, y = (2-t), z = 0 from (0,2,0) to…

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Q: Calculate the following double integral:  ∫∫ (2y²)/(1+x²) dA R   where  R={(x,y)|0≤x≤1, -1≤y≤1}…

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Q: Use the limit comparison test to determine if diverges, and justify your answer. an O F1 M8 M8 1…

A: Here series given, we find the series is converges or diverges.

Q: How would you obtain the real and imaginary part of the following function: F(z) = e²?

A: Real & Imaginary part of the function, F(z) = ez.

Q: 12y 10. Section 7.7 Evaluate: [[(x² - 4y)dxdy -10

A: ∫-11∫02yx2-4ydxdy

Q: For the given function, determine the following if possible. If it is not possible, explai You must…

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Q: Find dx dy dx 11 x = √√t, y = 7-t

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Q: . Find the volume above the paraboloid z = x² + y² and below the cone z = √x² + y².

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Q: (a) Sketch y = secx on a restricted domain of length 7 where the function is one-to- one. Choose…

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Q: IY Find the linear approximation to the equation f(x, y) = 2, at the point (8,2,4), and use it to 4…

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug…

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Q: An inner city revitalization zone is a rectangle that is twice as long as it is wide. The width of…

A: Here let's assume the width of the rectangle is b. The length of a rectangle is 2b

Q: Make the given substitution to evaluate the indefinite integral. Jocs 6csc (3x)cot (3x)dx, a. u=cot…

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Q: Suppose that x² + y ² dy dx (1) Use the method of implicit differentiation to dy find dx = = . 82.…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given curves are x+y2=20 which is a parabola symmetric w.r.t. x axis. And x+y=0 is a straight line.

Q: solve the following initial value problem using an integrating factor. dy/dx + (2x/(x^2+4)) =…

A: Here XY term is missing So i solved as follows

Q: R E Given: m BE = 36 тве Y L LEYL is a right angle M LEYR = 77

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Q: Let f(x) = 3 52 +13

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Q: Find the limit a) lim (x³ + 4 sin x) X--0 c) lim sex-s X->>0 S+sex b) lim (3 cos x + 3 sin x) x →/…

A: Since you have posted multiple questions i can do first three subparts as per our company guidelines…

Q: Find the limit a) lim sex-s. X-→0 s+sex b) lim X-T 2X X-7

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Q: Consider the function f(x) Let F(x) be the antiderivative Then F(2) = 5 4 x4 x6 of f(x) with F(1) =

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Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

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Q: The cost of producing a units of stuffed alligator toys is C(x) = 0.001x² + 7x + 7000. (c) Find the…

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Q: At what points on the given curve x = 4t³, y = 4 + 80t - 22t² does the tangent line have slope 1?…

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Q: [3] Solve the differential equation dy-6% +8y-cos³x. de

A: The given differential equation is;  d2y/dx2 -6dy/dx +8y =cos2x

Q: For the following polynomial function f(x) = 3xº + 2x² + 6x − 8, find the lower bound within which…

A: f(x)=3x6+2x3+6x-8

Q: Suppose an arrow is shot upward on the moon with a velocity of 51 meters per second, then its…

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Q: Coca Cola's net operating revenue (in billion $) for recent years can be modeled by the function (x)…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Let F(x, y) = (-y,x), directly compute the line integral F dr over the curve C, the unit circle…

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Q: Find a general solution for the given differential equation with x as the independent variable. y""'…

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time…

A: We have to find the distance travelled and length of curve. First let us find the derivatives of x…

Q: Find the limit: lim x → 169 X X 13 169 Give your answer to at least three decimal places:

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Q: 3. f(x,y) = y²e²x – In(2x+5y) fx fxy fy fyx Show fxy = fyx

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Q: Find the indefinite integral. (Use C for the constant of integration.) I X-6 (x + 3)² + 36 dx 1/2…

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Q: Use the algorithm for curve sketching to sketch the following:( Show all steps) a) Y=x²-3x+6 x-1

A: a)y=x2-3x+6x-1

Q: An open-top rectangular box is being constructed to hold a volume of 300 in³. The base of the box is…

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Q: y = f(x) = = x = g(y) = 4 – 7x 9 - 9x h

A: step 1: Write f(x) as y . step 2: swap 'x' and 'y' . step 3: solve for 'y' .

Q: The Taylor series for f(x) = e² at a = 1 is Σn (x - 1)″ n=0 Find the first few coefficients. со 5 C3

A: The Taylor series for fx at a=1 is ∑n=0∞cnx-1n

Q: Find the area of the following surface using the given explicit description of the surface. The…

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Q: Derivative of the Inverse Sine d /dx arcsin x = (a) Sketch a graph of y = tan x on the restricted…

A: Since you have posted multiple questions, as per guidelines, we are supposed to answer only first…

Q: X: 5* : = X = 6+xə :

A: