Find the domain of the following function. 5 f(x) = 81-x² The domain is (Type your answer in interval notation.) qual e fo d

Q: dx √x(x+1)

A: We have to integrate given term.

Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2,-4), (-2, 6), foci at (-2,-5),…

A: Given,  Vertices: (-2, -4), (-2,6), Foci: (-2, -5), (-2, 7)

Q: If y₁ and y2 are linearly independent solutions of ty" + 3y + testy = 0 and if W(y₁, y₂)(1) = 4,…

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Q: d²y dx² +6 dy dx +9y = 0

A: The given differential equation is;  d2y/dx2 + 6dy/dx +9y=0

Q: IF A = i-2j-3K, B= 2i tj-K, C= i +3j -2 FIND (LAXB) x C 1 ) ( | A x (BxC) 1) (A • (BXC) (A x B) • C

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Q: 2.1 q h(q) 11 0.9 1.2 1.5 1.8 20 35 61 108 Estimate h' (1.5) using the table above. h' (1.5)~

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Q: A parabola is formed when a plane slices through a cone. Which of the following describes the…

A: Solved below.

Q: Q5-Show if the following series are converging or diverge π 1) Σ=1 η 10 Σ=1 (33) 1 της 2) 3) Σ=1

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Q: Use trapezoidal rule to approximate the integral fex dx.

A: Follow the procedure given below.

Q: An air traffic controller spots two airplanes at the same altitude converging to a point as they fly…

A: This question is related to speed and time, we will solve it using given information.

Q: Find the maximum rate of change of the function f(x, y) 3y5 x at the point (3,4)

A:

Q: Solve the following differential equations of

A: Given differential equation is :

Q: Exercises:- Calculate the following limit statements. x²-sin²2x 1)lim (tanx) cos 2) lim x-0 x² X-2…

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: If the demand for a pair of shoes is given by 2p+ 5q = 200 and the supply function for it is p-2q =…

A: In this question, we want to compare the quantity demanded and the quantity supplied for a pair of…

Q: 1-sinx x-1-cos2x 9) lim 10) lim TC X- sinx-cosx TL X- 4

A:

Q: Consider the matrix a) Find the determinant of A. det (A) = -30 b) If det (A) = 0, find the inverse…

A: We have to solve given Questions.

Q: The Interior angle of a regular octagon has a measure of: CA. 120%. OB. 135% C. 45 D. 60° COC

A:

Q: Find the partial derivative of z with respect to x (32) for z = (3x² + 1) cos(x²y) O None of the…

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Q: In Step 2, why did you multiple the 1st equation by 1, and the 2nd equation by 2 then adding. Rather…

A: We have to tell why in step 2 multiply the 1st  equation by 1, and the 2nd equation by 2 then…

Q: 2 Let f(x) = 4x² - 3 to find the following value. f(t+1) Don f(t+1)=

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Q: Minimize c = x - 7y subject to 3x + y 2 5 2x − y > 0 x - 3y ≤ 0 x ≥ 0, y ≥ 0. C = = (x, y) ])

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Q: sec ( =) af Given f = e - yt+y, find dy sec 21 ____=_=(4) tam(3) ²(3) __g²¹3-¹ (z+y+yn (y)] xe sec…

A: see below the answer and calculation

Q: Q2/A/ Prove cot² @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

A: To prove the given trigonometric equation and  To find value of c for which function is continuous…

Q: To measure a stone face carved on the side of a mountain, two sightings 850 feet from the base of…

A: Height and distance

Q: Find the equation of the line tangent to the graph of f(x) = 3 - 2x at x = 3. Provide your answer…

A: The slope of tangent on a curve f(x) at x = a is given by,  m = f'(a)  The equation of tangent on a…

Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: A small company of science writers found that its rate of profit (in thousands of dollars) after t…

A:

Q: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

A: The radius r of a sphere is increasing at a rate of 2 inches per minute. (a)  Find the rate of…

Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

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Q: The gradient of f(x, y) = xy at (x, y) = (3, 3) is

A: Given problem:- Find the gradient of f(x, y) =xy at (x, y) =(3, -3)

Q: For the following function find (a) f(4), (b) í (b) f 2 f(x) = 4x² - 24x + 21 (a) Find the value of…

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Q: R ABCDE is a pentagon. Let AB = u and AC = v E C D and AB = DC BD = 2AE AC = 2ED a) BD 3. Express…

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Q: Find the Volume, Surface area and Lateral area of the rectangular prism shown below if the height of…

A: Concept: The volume, surface area, and lateral surface area of the rectangular prism are:…

Q: Prove that (AXB)×C=B(A • C)-C(A • B).

A: The solution is given in the next step.

Q: Check the following relation R on the set A = {1, 2, 3, 4]} is reflexive, symmetric and or…

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Q: Q2/A/ Prove cotª @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

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Q: J 1. Fin Find 2x³ (6 + x) dx TU

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Q: Find y = f(x), given d²y dx² = f'(x) = 2* In 2 + 2ex -x-² +2

A:

Q: Evaluate (+2)(3-2) dr Use C to denote an unknown constant Answer:

A: First we multiply (t+2 ) and (3t-2)

Q: 8. Given f(x)=x+3 and g(x)=4 – x², find g(f(x)) and f(g(x)). 9. Given f(x)=x²+4x-9 and g(x)=-4x² –…

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Q: ᴛʜᴇ ᴅɪᴀɢʀᴀᴍ ʙᴇʟᴏᴡ ʀᴇᴘʀᴇꜱᴇɴᴛ ᴛʜᴇ ʀᴏᴏꜰ ᴏꜰ ᴛʜᴇ ʙʀᴏᴡɴ'ꜱ ꜰᴀᴍɪʟʏ'ꜱ ꜰᴀᴍʜᴏᴜꜱᴇ. ᴀʟʟ ʀᴀɪɴ ᴡᴀᴛᴇʀꜰʟᴏᴡꜱ ꜰʀᴏᴍ ᴛʜᴇ…

A: We have to find the total area.

Q: Question 2. Let f(x, y) = 5xy² + sin(x + y). Find the following: (a) The gradient of f(x, y). (b)…

A: as per company guidelines we solve only first three subparts when multiple parts question being…

Q: Find a differential equation whose general solution is y = c₁e³t+c₂e-3t 5t = 0

A: The general solution,y=c1e5t+c2e-3t

Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: We know that the standard equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k )…

Q: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

A: Find the area bounded by the given curves, or as described. I. Sketch the graph II. Find the…

Q: Find Mx, My, and (x, y) for the laminas of uniform density p bounded by the graphs of the equations.…

A:

Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 - X x>0

A: Follow the procedure given below.

Q: x-1 +1 1-z Q1) Find equation of plane normal to line *-¹ == and pass through line 3 2 1 x=y=2.

A: Concept: The standard form of the line is x-x0a=y-y0b=z-z0c Here a, b c represents the normal…

Q: In Seln sin" x dx √√1-x

A:

Q: رد البر A Polynomial of the third degree reculting from the Tyler series of the function fix)=√x+1…

A: The given function is f(x)=sqrt(x+1), x0=1.