S Write an equation for a line parallel to y y = -4x + 4 and passing through the point (4,-2

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: The equation of a line through the origin that makes an angle a with the positive x-axis is  = aThe…

Q: What is the center of the sphere given by the equation x² - · 6x + y² – 2y + z² +82 +17 = 0? -…

A: The standard equation of a sphere is given by  where (h,k,l) is the center of the sphere and r is…

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: (a) Find and sketch the domain of the function f(x,y)=√x+2+√√√y+3 (b) Evaluate the limit -8xy lim…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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Q: Use the alternative form of the derivative to find the derivative of the function f(x) = x³ + 8x, X…

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Q: Find aw/as and aw/at using the appropriate Chain Rule. Values Function w = y³ - 2x²y s=-3, t = 6 x =…

A: To find  by using the appropriate Chain Rule.Function: Values: To evaluate each partial derivate at…

Q: (a) Isolate h. V = { Tr² x

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Q: 6x Find the limits in a), b), and c) below for the function f(x) = - X-5 Use -∞ and ∞o when…

A: given limit to find

Q: If a 4th order linear differential equation is such that the corresponding characteristic equation…

A: If a 4th-order linear differential equation is such that the corresponding characteristic equation…

Q: What is the volume if a 6 inch square is cut out

A: Consider the box

Q: Let h(v) = 4v v² +6

A: h(v)=4vv2+6

Q: Find 6 ff 3 xy dydx. Write your answer in exact for

A: The given integral

Q: Air Traffic Control An airplane flying at an altitude of 6 miles passes directly over a radar…

A:

Q: Help determine the difference quotient and for f(x)=x^2+4

A: Given,. Difference quotient=

Q: Describe the x-values at which the function is differentiable. x² y = x² - 49

A:

Q: Set up an integral that represents the length of the part of the parametric curve shown in the…

A: x=tcos⁡(t),y=t−6sin⁡(t),

Q: xª−12x³+36x² X-6 x4+x³-42x 2) lim ||

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: The vectors (8,-12, 16) and (8, 12, 5) are orthogonal. Select one: True O False

A:

Q: 11 Consider g(y) = -6y + -3² + Determine the intervals on which g is concave down. g is concave down…

A: Given,  .For inflection values put g'(y)=0If g''(y)>0, than concave up.If g''(y)<0, than…

Q: Evaluate the double integral over the given region R. (18y² - 10x)dA R: 0≤x≤4, 0≤y≤3 R SS (18y² -…

A: evaluate the double integral over the given region  R: 0   0

Q: Find the total differential. 8x + y 3z - 2y dw = W = 8 3z-2y dx + 3z- - 4y - 16x (3z-2y)² Jdy + (7…

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Q: Find the reduced echelon form of the matrix: M 1 2 3 1 4 1 2 19

A: The Matrix is given by :

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A:

Q: Find the maximum and minimum values of f(x, y) = xy on the ellipse 5x² + y² = 4. maximum value:…

A: To find the maximum and minimum values of f(x,y)=xy on the ellipse 5x^2+y^2=4, you can use the…

Q: Solve the second order. 1. eq Y Ý + Y

A: The given differential equation is

Q: Solve. X-4 7x + 5

A:

Q: Let f(x) = (6-x-x² 2x - 9 Calculate the following limits. Enter "DNE" if the limit does not exist.…

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Q: Let f(x) = -x+7 and g(x) = x^2 -2 evaluate the expression f(g(1))

A: We have to find f(g(1)) for the given function. It is a example of composite function. We replace x…

Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 12 + 2x -…

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Q: Sketch the curve represented by the parametric equations (indicate the orientation of the curve),…

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Q: (b) Use the Fundamental x² :) = ( 4 – t) 1 F(x) = S(4 Chly appr Theorem of Calculus to calculate…

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Q: For the following​ function, ​a) give the coordinates of any critical points and classify each point…

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Q: The diagram below shows upper and lower sums for the function f(x)=√√x+1 using 4 subintervals. Use…

A: given function

Q: 2 xy dy + 4y dx = 8 x dx 2 2

A:

Q: Solve the second order. Dieg - Ý - ý syes 1 39

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

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Q: Find equations of the tangents to the curve x = 6t² + 4, y = 4t³ + 4 that pass through the point…

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Q: Use spherical coordinates. Evaluate JJJ y²z² dv, where E lies above the cone 4 = 1/3 and below the…

A: G

Q: Solve the given differential equation by undetermined coefficients. 100x² - 91xe* y(x) = = . y" -…

A:

Q: For the given parametric equations, find the points (x, y) corresponding to the parameter values t =…

A: Given,

Q: v+1 v-15 Determine the intervals on which g is concave down. Consider g(v): Og is concave down on: O…

A:

Q: 1. x dy dx – 4у = х6 ex 9x

A:

Q: Consider the following parametric curve. x = et - 4t, y = y = 8et/2, 0≤t≤ 2

A: x=et−4t,y=8et/2,0≤t≤2

Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

A:

Q: 12. {yly = x² - 1, x = integers}

A: {y/y=x2−1,x∈integer}

Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: -xs -X sec (3x) +C…

A: Given Indefinite integral as follows

Q: = O Trigonometric Identities and Equations Proving an identity using fundamental trigonometric…

A: 1+tan2x

Q: Consider g(z) = -10z + 15z² - 9 Determine the intervals on which g is concave down. g is concave…

A: The given function .The aim is to find the concavity intervals and the inflection point.