What is the domain of y=v(x+2)-5? [-5, 0) O (2, ) O 1-2, )

Q: What are the endpoints of the latus rectum of (x + 1) = -8 (y + 4) ? O (-1 ± 4, –6) O (-6 ±4, –1) O…

A: We will find the end points of latus rectum as shown below

Q: 31. f(x) = 2x3 -3x2-36x %3D

A: Given the function f(x)=2x3−3x2−36x

Q: 11. Determine whether the lines are parallel, perpendicular, or neither. Show your work. 4 Line 1:…

A: Since the product of slopes is -1 hence these lines are perpendicular.

Q: 1 x, and the line perpendicular to 6 Find the area of a triangle bounded by the y axis, the line f…

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Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: Show that ⊢ (x > 0) y = x + 1 (y > 1)

A:

Q: What is the absolute minimum value of q(x)=2x2−1 over [−2,5]?

A: Take the derivative of the given function and equate to zero and solve for x.

Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: Find a polvnomial f(x) of degree 4 with real coefficients and the following zeros. 3,-4, 2+i 1) - 0…

A: Given,  The zeroes of the 4 degree Polynomial f(x) is 3, -4 , 2+i and 2-i.

Q: 5. Differentiate using quotient rule: x+2 y x-2

A:

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: (a) f(x) =x -Satx 2

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: The interval on which f(x) = 5 – 12x2 – 4x³ is concave up is: (-∞, –1) © (-1, 00) O (-0, 1) • (1,00)

A:

Q: If x= (5,-1,2), y=(1,-1,1) then x dot y is

A:

Q: 18 What is the maximum value of the function Ax) = x - 9

A:

Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: Let f(2) = y variable defin exist?

A: The given function fz=-y-2xy+i-x+x2-y2+z2 Here, z=x+iy. Therefore,…

Q: Show that  max {x, y} = (x + y + |x - y|)/2 Show that  min {x, y} = (x + y - |x - y|)/2

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Q: 2) Find FCO), if it exits Punctien f(z) - 2 if x raticnal if x irraticnal

A:

Q: 15. Differentiate using quotient rule: x+2 y = х-2

A: Given, y=(x+2)/(x-2) Then,dy/dx will be

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) → (0.5x, 0.5y)? O…

A:

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: A rancher wants to enclose an area of 1500000 square feet in a rectangular field and then divide it…

A: Given that: Total area =1500000 sq. ft.The field is to be rectangular.and then divide the field with…

Q: Suppose the point (-3, 10) lies on y = f(x) and the point (2, -3) lie point on the function y =…

A: Introduction: The function f(g(x)) or (f ∘g) represents the combination of functions f(x) and g(x),…

Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

A:

Q: Show how to use the Calculus method from class to find the absolute maximum and minimum y-values for…

A: Note to Student : Hi. Thank you for your question. As seen, here 2 questions are given. As per our…

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: What is the image of (-2, –3) after a reflection over the line y = x?

A: Given : To determine the image of the point -2,-3 about y=x

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: What are the new coordinates of the point (-14, -24) under the dilation (x, y) (0.5x, 0.5y)? O (-7,…

A: Given coordinate of point ( -14 , -24 ). dilation is , ( x , y )→ ( 0.5x , 0.5y )

Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

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Q: I think you are suppose to use the fundamental theorem of calculu.

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Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: Find critical number of f(x) = x^2-7x+8

A: Given function f(x) = x2-7x+8 The critical number is the value of x which makes derivative of f(x)…

Q: 3. Use the Intermediate Value Theorem to prove that the equation x-5x = 4 is solvable on the…

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Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

A:

Q: 18x, x=2, AOR = X-AXIS

A: Topic:- application of integration

Q: How do I use the second derivitive test to find the points of inflection and discuss the concavity…

A: Let's proceed to find f'(x) and f''(x) and then find the point of inflection by equating f''(x) to…

Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

Q: Check whether z/z+3 is analytic or not?

A: Let     f(7)  = 77+3Now, Let f(7) = φ(7)ψ(7)where ϕ(7) ≥ 7  and ψ (7) = 7+3Here   ψ(7) has zero at 7…

Q: Find domain and range of the funetion f(x, y) In[e-x' -y'1

A: The ln function is undefined for negative arguments. This will ensure that argument is positive. So…

Q: analytic except at finte possible points 2121 1-そ Fend ofo.

A: A function f(z) is said to be analytic that is if f(z)=u + i v, and z= x + i y in the region R If…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.