Transform the equation y' differential equation. O (1 + x²) dx - dy = 0 O (1 + x²) dx 2x 0₁dx 1 + x² dy Y dy Y 2x (1 + x²) dx = 0 = 0 = ydy = 0 2xy 1+x² into the form of variable separable

Q: vi) Lim X-225 sln -√√x+5 25-R

A: Given the equation:- limx→25-x+525-x

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Q: b) - 1212 c) 3 V -2 10 d) -3 -11 -10 Using the graph given, determine the average rate of change of…

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Q: 3 2 Let f(x) = 2x²³ - 12x ² + 18x + 20 O Find the coordinates of stationary points 22 Delermine the…

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Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P y…

A: (a) Given that, the function is y=x and the point is 4,2. Differentiate the function y=x with…

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Q: Find (a) the slope of the curve at the given point P. and (b) an equation of the tangent line at P.…

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Q: Question 10 Convert the angle -165° to radians:

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Q: Convert the angle 420° to radians:

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Q: 1. Using the Vertical line test, identify if the graph is a function.

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Q: Given f(x)=x-1 and g(ò)=x*, determine an equation for (gof)(x). a) (gºf)(x)=(x−1)ª b)…

A: To determine an equation fon (gof)(x).

Q: 1 2 cos (5x) cos(3x) dx = cosh' (In x )sinh (In x) (A) (C) (A) de= sinh" (in x} (A) cosh (Inx)…

A: Let's solve partial fraction.

Q: Given that u and are not collinear, which of the following is false? Ox=0 Ov • v = | 0 | ² υ ये • ये…

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Q: Write as a radical expression. 4 3) 3²21, 2017 3 X

A: Given that :        31/2.x4/3 and we write as a radical expression.     Here i attached the solution…

Q: Simplify. 84 x 86 O a) 1 Ob) 8³ O c) 8¹4 O d) 834

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Q: The graphs of y = f(x), y = g(x), y = h(x),and y = m(x) are shown. -12 h(x) -8 m(x) -4 g(x) 8 f(x)…

A: The graphs of y=fx, y=gx, y=hx, and y=mx are shown. By using the information in the graph to…

Q: 12/ A company is manufacturing two types of autocycles for gents and ladies separately, which are…

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

Q: Solve the following polynomial equation completely. Start by using the Factor Theorem. x³ + 9x² +…

A: Topic = Polynomial

Q: For what values of b are the vectors (–88, 6, 7) and (b, b², b) orthogonal? Answer (separate with…

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Q: In the triangle below, compute the tangent of theta 0 12

A: Topic:-  trigonometry ratios in right angle triangle

Q: 2/ Solve: (2 Sin () + C 2x-3 Then, Find the amount of (C) that is make the function continuous at x…

A: A function f(x) is continuous at x=a if (i) f(a) is defined (ii) limx→af(x) exists(iii)…

Q: 1.4 1.5 1.6 Will the Anderson family make a surplus or deficit for the month of June? Show…

A: Given: Total income and total expenditure.

Q: Which of the ff is equivalent to the double integral: a. f¹ ln(2x) − In(x + 3) dx b. ln(x + y) -…

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Q: Find the limit as x approaches -6 for the function f(x) = 5x + 12. lim (5x+12)= X→-6 (Simplify your…

A: Topic- limits

Q: Find the area of the sector of a circle with radius 2 yards formed by a central angle of (T)…

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Q: solution. 1. The center of the circle is at (-3,7) and goes through the origin. 2. The center of the…

A: Topic = Circle As per guidelines, At a time only three sub-parts can be answered.

Q: Use the slider to graph the standard position angle, then write the radian measure in degrees. -57T…

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Q: A spring, whose equilibrium length is 3 ft, extends to a length of 6 ft when a force of 13 lb is…

A: Given data÷ Equilibrium length = L0=3ft Extended length  = L1=6ft Force = F=13lb Work = w=8ft.lb

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Q: Consider the parametric curve Determine which of the following graphs is the correct image of this…

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Q: Factor out the Greatest Common Factors of. 1. 18x2 + 27x 2. 45a2 + 27 (Hint: the answers are not

A: Topic:- algebra        Definition:- To factor  greatest common factor take common term outside and…

Q: 2 -2. f(x) = x³ (a) f(3) 3. g(t) = 21²-3t+1 (a) g(2)) 4. h(t) = √t+6-2 (a) h(-6)) (b) f(-2) (b) g(v)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the line integral with respect to arc length (a) Find a vector parametric equation 7(t) for the…

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Q: •= (L) ! Au — ит!

A: Please see the below picture for detailed solution.

Q: Suppose u = (1, −5, −1), v = (-2,-1, -3) and (1, –4, 4). Then: W = U • V= u • w= v • W= v • v= u •…

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Q: i) Use the substitution v = to find the general solution to dy xy- y = x² + 6y². dr You may leave…

A: We need to solve D.E.

Q: Using the function f(x) = − 4x² + 6x + 1, find the slope over the interval listed below: - [-9,5] m=

A: Please refer to the image below

Q: Use exponential regression to find an exponential function that best fits this data. f(x) = Use…

A: Answer is in next step.

Q: Given that find the limits that exist. If the limit does not exist, explain why. a. lim [f (x) + 5g…

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Q: 1. Karen is a hobby farmer from near Toowoomba in Southern Queens- land. She sells the lettuce she…

A: Topic- Functions and application of derivatives

Q: Given g(x) = x² + interval [6, 6 + h]. g(6 + h) - g(6) 10x + 3, find a simplified expression that…

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Q: 1.1 1.2 1.3 Identify 2 variable expenses from Anderson's family budget. Calculate A, if the average…

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Q: The angle between 0° and 360° that is coterminal with - 1475° is

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Q: Plot the point where 0 Clear All Draw: ←6

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Q: An electricity company charges its customers a fixed base charge of $8 a month, plus 12 cents per…

A: Given fixed cost= $8 per month Costs  for the first 500kWh cost is 12 cents = $0.12 per kWh for the…

Q: 1. What is the 'exponential equation' of the function shown? 0 3(5*) b) f(x) = 3(5) a) f(x) = = -x…

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Q: Consider the function f(x) = = √x and the point P(4, 2) on the graph f. (a) Graph f and the secant…

A: Note: The student has made a typing error in the phrase "Use the results of part (b)", it should be…

Q: The cost in dollars if making x items is given by the function C=10x+4 (b) What is the cost of 35…

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Q: (A) (C) x-1 Ax+A₂ Ax+A₂ (x-1) +1 (x²+1)² 4x+4 Ax+A (8) (al x-1

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Q: -1.5 (-1,5) -1. (-0.707,4.237) -0.5 7 34 1 (0, 3) -1 -3L (0.707, 1.762) 0.5 1. (1, 1) 1.5 x

A: