2 7 sin 8-cos 0 Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified. Convert r = y = --x + to rectangular form.

Q: -x + y -z = −17 2xy + z = 3x + 2y + z = (x, y, z) =

A: -x+y-z=-17......(1)2x-y+z=24......(2)3x+2y+z=16......(3)

Q: Let f(x, y, z) = x³y³ + z³ and x = s4, y = st², and z = s¹t. (a) Calculate the primary derivatives…

A: fx,y,z=x3y3+z3  and x=s4,y=st2,z=s4t

Q: 1. Use the definition of the derivative to find the derivative of, f(x)=6

A: The definition of derivative is y=f(x) is  f'x=limh→0fa+h-fah [As per the guidelines I am answering…

Q: X Sketch of f(x)= ƒ(x) = -√²-4

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Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

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Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. Ixe¹ U = dv…

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Q: 11. Use a table to find the Taylor polynomial P3 (x) for f(x) A. B. P3 (x) = Use the series to…

A:

Q: Two planes are perpendicular if the dot product of their normal vectors is 0 True False

A: Two planes are perpendicular if the dot product of their normal vectors is O ?True false

Q: 1. Use f(x) = −1+ [g(t)dt and the values below to answer the following questions. 1 g(0) = = g'(0) =…

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Q: b. through the points (3, 0, 1) and (0, 1, -1), and perpendicular to the plane with equation…

A: (B) we can use the cross product of the direction vector…

Q: Write the equation of the line passing through the two points (-1,2) and (1, 3) in the form y = mx +…

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Q: 6. Prove that "x² dx = b³a³ 3

A: If F(x) is the anti derivative of f(x) in the interval [a,b] then

Q: ső Can the Fundamental Theorem of Calculus be used to find √x-1?

A: To examine if the fundamental theorem of calculus applied to find the given integral or not.

Q: A B U 12.64 feet 15.82 feet 16.77 feet X 21 ft 37°

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: 4. A particle moves along x - axis and the differential equation governing the motion of the…

A:

Q: Find the area of the region under the given curve from 1 to 6. x² + 5 7x - x² y =

A: Given that the curve is .It is required to find the area of the region under the curve from 1 to…

Q: 0 3 x√x² + 16 dx 2

A:

Q: (x(t) Find a plane containing the point (2,-4,-2) and the line y(t) z(t) = = = 2 - 5t 4 - 3t 5- 4t

A: Equation of the plane general form is  a(x-x_1)+b(y-y_1)+c(z-z_1)=0

Q: Given the polar equation r The eccentricity is e = 9 8 + 5 cos(0)' The equation of the directrix is:…

A: Given the polar equation r=98+5 cosθ. To find the eccentricity, equation  of the directrix and to…

Q: 1) π.χ. (a) Find an equation of the tangent line to the curve y = tan at the point (1, 1). 4 (b)…

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Q: (c) To solve this by calculus, we'd need to calculate substitution u = 1- x² doesn't seem to help.…

A: To explain briefly why the substitution , does not seem to help  to calculate the integral .

Q: (a) By using substitution method, evaluate (x²³ − 1)² dx.

A: The integral isTo determine: The solution of the integral.

Q: Solve the initial-value problem for x as a function of t. dx (t2-10t+24) dt SAN 1, (t > 6, x(9) = 0)

A: Use the separated the variable

Q: Find the directional derivative of the function at the point P in the direction of the point Q. f(x,…

A: To find the directional derivative of the function f(x,y,z)=x⋅y2⋅z3 at the point P(3, 1, 1) in the…

Q: Which of the following ideas represent the different ways a line and a plane can intersect. Select…

A: There are three possibilities for the intersection of a plane and a line.They do not intersectThey…

Q: h³ - 27 lim h-3 h-3

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Q: 4. Determine the vertex of the parabola y 2 2x + 15x using Calculus.

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Q: Find the maximum value of the function f(x,y)=2x^3+3y^2-4x-5 on the domain x^2+y^2=121. List the…

A: We need to find the maximum value of the function f(x,y)=2x^3+3y^2-4x-5 on the domain x^2+y^2=121.…

Q: Select the basic integration formula you can use to find the indefinite integral. S (8cos(12x))…

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Q: Write a in the form a = a-T +aNN at the given value of t without finding T and N. r(t) = (2+²)i +…

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Q: Write a polar equation for a conic having focus at the origin, directrix y = e = 1. r = Enter theta…

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Q: The expression √√64x² equals næ” where n, the leading coefficient, is: and r, the exponent of a, is:

A: Given Expression 64x23

Q: Problem #2: Find the derivative of 7x² - y¹⁰ = 25

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Q: You reach the communication device and are alerted by your computer that the communication device is…

A: Let's consider a curve  y=f(x), such that point P(xi,yi) satisfy the curve, then slope of tangent at…

Q: The position function of an object is given by s(t) = 16t², where s(t) is the height in feet and t…

A: We know that the speed formula ds/dt

Q: Find the lengths of the two missing sides. 15 X 15 60% y Enter the value of a here. (You'll enter…

A: If the triangle one angle is 90 degree then the triangle is called Right angle triangle

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

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Q: Part a) Use the steps demonstrated in this module to find an equation for the logarithmic function…

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Q: Suppose that ƒ(2) = 2, ƒ(7) = 8, ƒ'(2) = 3, ƒ'(7) = 4 and f" is continuous. Find the value of the…

A: f2=2,f7=8,f'2=3,f'7=4 and f'' is continuous

Q: Find the distance from the point to the line. (-4,5,-2); x =2+2t, y=4-t, z=1 +3t The distance is…

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Q: Consider the equation 4x - 9y = 18 A line parallel to the above line would have a slope of A line…

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Q: a²z Find dx² for z = for Z = y tan(8x)

A:

Q: 4. Determine the 75th derivative of each of the following functions. b) f(x)= 3 cos 2x

A: We know that the derivative of cos(ax )is -a*sinx(ax)

Q: Solve the given differential equation by separation of variables. dy dx = e5x + 3y

A: We have to slove above differential equation by separation of variables

Q: f(x) = x²-2x-10, (P¹) (5)

A:

Q: i dont understand your work, where is the rest of the solution?

A: The function f(x) has the following definition:

Q: Consider the following. f(x) = x29 Find the x-values (if any) at which f is not continuous. Is the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the limit of the Limit: sequence an = (4n+ 1)! If the limit does not exist, type "Diverges" or…

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Q: Question 2 11π What is the supplement of an angle with a measure of 12 radians? If it does not have…

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Q: Upload a picture of your full solution in one file and attach it to this question. Determine the…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…