CONVERT THE EQUATION TO GENERAL FORM (x +10)² + (y + 12)³² = 16

Q: Let A = (3,-3), B = (7,7), C = (12, -8), and D = (17,6). Let f(x) be the function whose graph…

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Q: For each equation, determine whether it shows a direct variation (that is, shows directly…

A: We know for direct variation,.Where k is constant.

Q: Find the first partial derivatives of the function. w = In(x + 9y + 8z)

A: Given that the functionw=ln(x+9y+8z) we have to find the first order partial derivative of the given…

Q: Calculate L4 and R4 over [0, 5] for the function f(x) = 6x^2

A: Given function To find:The integral  is approximated using

Q: Find the equation of the line tangent to the graph of the function at the indicated point.

A: The objective of this question is to find the equation of the line that is tangent to the graph of…

Q: Solve the following differential equations. a) dy dx (y - 1)(y + 2) dy sinx b) dx y c) y' = √√y d)…

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Q: For the function: f(x) = -x² – 5, f(x) - f(a) x-a

A: 9) Given a function here need to find the value of then

Q: Find an equation of the line tangent to the graph of f(x)=1x2.  ​a) at​ (1,1); ​b) at −3,1/9​…

A: The objective of this question is to find the equation of the tangent line to the graph of the…

Q: |xl, 4-x, f(z) = { 4!! x≤ 2, x>2

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Q: Suppose that y varies inversely with x, and y=-4 when x=-6. (a) Write an inverse variation equation…

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Q: Find and simplify. f(x) = 7 - x² (a) f(x + h) − f(x) (b) f(x +h)-f(x) h

A: Given: To find the following:

Q: Suppose that the functions q and r are defined as follows. q (x) = -x-1 r(x)=x² +2 Find the…

A: We are given the following functions we have to find

Q: Directions: The following function f(x) has one relative maximum and one relative minimum point.…

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Q: do 2nd question as well

A: Equation of the curve: Given point:

Q: Use partial derivatives to obtain the formula for the best least-squares fit to the data following…

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Q: The table below gives data on three movies. Gross earnings is the amount of money the movie brings…

A: MovieRelease dateBudgetGross…

Q: 1+1 52+592

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Q: √2 Evaluate the definite integral f (x² - 6) x dx given that » [*1 (20 – 4) de gorta ] -√2 √2 σ -√2…

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Q: (a) Find as a function of 1 for the given parametric equations. dx X = 1-1² y = -4-8t

A: The given parametric equation

Q: 19 Given the diagram, fill in each row of the table with the length of the third side. P q Р R

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Q: One side of a right triangle is known to be 29 cm exactly. The angle opposite to this side is…

A: Solution is following in explanation step.

Q: Find an equation of the plane that passes through the points (4, 3, 3), (2,2,-2), and (-5,3,2).…

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Q: 55. lim x →0 √x +5-√√5 X

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Q: The sum of money of Bill and Zan is 4,230. If 2/3 of Bill's money is equal to 5/6 of Zan's money,…

A: The objective of the question is to find out how much money Bill has. We are given two pieces of…

Q: X lim x→1x² + 4

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Q: Find the work done by the force field F(x, y, z) = xyi+yzj+xz k on a particle that moves along the…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve x² + 2xy-y²= 1 at…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: For the solution follow the next steps.

Q: Find the derivative using the chain rule. ƒ (2) = √828 + 5

A: Given,

Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

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Q: Calculate the following iterated integral. L (L², rydy) dx = □

A: This is question of calculusHere double integration is given. We have to find value.Further…

Q: Verify by substitution that the given function is a solution of the given differential equation.…

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Q: 1124 + 195812 +1592114

A: To find:-

Q: 13. It is calculated that the value of a financial share three months after going on the market is…

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Q: Find the area of a triangle PQR where P = (-1,3,-2), Q = (-4,-6,-3), and R = (-6,1,3).

A: The objective of this question is to find the area of a triangle with vertices P, Q, and R in a…

Q: sin cot-1 (2/20 CSC 2π 3

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Q: Find the linear approximation for f(x) Answer L(x) = -x+2/ = cos x at x =3/2

A: Linear approximation of f(x) at x=a is given by

Q: discuss the continuity of the function on the closed interval.

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Q: Example 7 a) A population grows by 2.5% each month. By what percent will the population increase in…

A: Need to find out the percentage by which the population will increase in one year."Note that as per…

Q: Use partial fractions to find f Select one: O a. S 0b. f = O c. x²+x+3 x + 6x² +9 O e. x²+x+3 x²+6x²…

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Q: Six hundred seventy five square inches of material are available to construct an open rectangular…

A: Material available = 675 in2 It is a Rectangular box with square base. So, length = l in and breadth…

Q: The monthly output at the Olek Carpet Mill is Q(x) 15,000 + 2x² units, (40 ≤ x ≤ 60) where x is the…

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Q: The median weight of a boy whose age is between 0 and 36 months can be approximated by the function…

A: The objective of the question is to find the rate of change of weight with respect to time. This can…

Q: 2 4 sin r 3 tan r dr

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Q: 4. Find the slopes of the devil's curve y44y² = x4-9x² at point A 8 A-(3,2)

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Q: A roast turkey is removed from an oven when its temperature has reached 185°F and is placed on a…

A: Formula for The Newton's Law of cooling is given as follows Where  Surrounding temperature T is the…

Q: 1. Consider the differential equation y" + 2xy" - z²y = x^sin r. (a) Is this a linear differential…

A: Note ::- According to our guidelines I answer the first one. Kindly repost the other question…

Q: 22. lim √x + 6 x 3 x + 2

A: To find :-

Q: Perform the indicated operation and fully simplify the result. 1 y + 1 y+1 1 y+1

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Q: 1. Here are two cool lines: has parametric equations z = 6+4t, y=4-3t, 2 =-7+t. ₂ has the symmetric…

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