Q1. Find Domain and Range of у sin(x)

Q: C) Of a group of 50 Year 11 students, 32 study art and 30 study graphics. Each student studies at…

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Q: y''+4y'+5y=  y(0)=0  y'(0)=6

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Q: 4) Show that every plane that is tangent to the surface x² + y² y² = z² contains the origin.

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Q: Obtain the general/particular solution for the given differential equation. 4 cos (2x) 2y²-y +4 dy…

A: This is a first order Separable Ordinary Differential Equation.

Q: Use the graph off to determine each of the following (a) the domain off (b) the range of f (c) the…

A: We need to find out the domain, range, zeros etc for the given graph of the function.

Q: 3. lim_ log₂ (x) x-15 4. lim (cos(x)-1)

A: answer 3 and 4 only Given :3.limx→15log2x4.limx→0cosx-1x

Q: Use any method to find the GS of (+ Inx) y' + ( + y) = ln = 0 y

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Q: Evaluate the derivative. y=x* y' = (Type an exact answer.)

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Q: Let f(x) = (3x + 7)(3x² + 2)8. Compute f'(x).

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Q: y(3x² + y²)dx + x(x² + 3y²)dy = 0

A: Given differential equation, y(3x2+y2)dx+x(x2+3y2)dy=0....(i)

Q: Given f (x) = ³₂, find f(-2) 3 x-2

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: Question 6 Given f(x)=√, g(x)=x²-1, x > 0. Find the value of f (g (3)). O 2√8 O (E) O 2√2 O√3

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Q: Find the point of diminishing returns (xy) for the function R(X), where R(xX) represents revenue (in…

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Q: The graphs of y = f(x) and y = g(x) are shown below. If g(x) = af (b(x − h)) + k determine he values…

A: The graphs of y=fx and y=gx has been shown above.Given that,  gx=afbx-h+k, we need to determine the…

Q: What is the type, linearity, order and degree of the differential equation below? y''' - 3y' +2y =…

A: The differential equation of the form: Pxdnydxn+Qxdn-1ydxn-1+....+yx=Rx is a linear differential…

Q: Given f (x) = x² and g (x) = 2x − 3 find g(f(x))

A: See this solution in below.

Q: Free fall. In dropping a stone or an iron ball, air resistance is practically negligible.…

A: Given     Acceleration of gravity, g=9.80 m/sec2=32 ft/sec2 At t=0, v=y'=0

Q: Obtain the general/particular solution for the given differential equation. xy²dx (x³ + y³)dy = 0

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Q: g) (2²2-3-2 x (B²6) ³ h) log4 16+log2 16 log5 25

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Q: Do NOT use the difference quotient, find the derivatives via formula. f(x)=8x5

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Q: General solution 1. y = cx+c²+1 2. y² = 4ax 3. y = 4 + ce³x dy dx Answer (ODE) y=xy' + (y)² +1…

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Q: List the first five terms of the sequence. a₁ a2 a3 2 a4 a5 = || || || || = = = = a₁ = 12, an +1= n

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Q: 3) Express each of the following using absolute value notation a)-7≤x≤7 b) - 4) Evaluate -12-√11-15…

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Q: If y = arcsin (e-³), d dz

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Q: The daily cost (in dollars) of producing LG ultra high definition televisions is given by 5x340x² +…

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Q: Graph the given functions, f and g, in the same rectangular coordinate system. Describe how the…

A: We need to graph the given functions and also need to write down the relationship.

Q: Given the function () below, decompose A(z) into component functions f(x) and g(x) so that A(z) —…

A: We can answer both the question in the below steps.

Q: Given the graphs of f(x) and g(x): Ax) Find g(f(0)) 00 8 -8 1 y 8.0 8

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Q: Let y = 5 -5 V1 = -2 2 -5 8 6 Compute the distance d from y to the subspace of R¹ spanned by v₁ and…

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Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

A: We can find the answers in the below steps.

Q: 10) (2+8)+10² +60÷10

A: BODMAS Rule As per the BODMAS rule, we have to solve in the sequence of Bracket, Order(Powers),…

Q: B ||

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Q: Make a substitution to express the integrand as a rational function and then evaluate the integral.…

A: See this solution in below.

Q: a.) Determine if exact, if exact, then Solve give 3 2 differential equation (x-y³ + y ² sin x) dx =…

A: If a differential equation of the form Mdx+Ndy=0 is said to be eaxt if ∂M∂y=∂N∂xthe solution of the…

Q: Use the graph to determine (a) open intervals on which the function is increasing, if any (b) open…

A: Use graph to determine

Q: Solve AABC subject to the given conditions, if possible. Round the lengths of the sides and measures…

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Q: Solve AABC subject to the given conditions. Give an expression for the exact value of each side in…

A: We can find the required values in the below steps.

Q: Given the following table of values, compute f(g(4)). z 1 2 3 Do not include "f(g(4))"In your…

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Q: Calculate all four second-order partial derivatives of 3x (3) f(x, y) = sin

A: Given, f(x,y)=sin3xy

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: Q3. hyperbola has vertices (-5,-1) and (3,-1) and foci (-6,-1) and (4,-1) Sketch the hyperbola a) b)…

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Q: 0 A can of soda is placed inside the refrigerator. The soda has an initial temperature of T = 70°F.…

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Q: Identify all points of non-differentiability in the graph shown below.

A: The objective of the question is identification of points in which given function is not…

Q: lim TL 0-4 tan 0 0

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Q: Finding the Domain and Range of a Function: f(x) = 2+4 Domain: all x 2 Range: all y-1 Domain: all x…

A: Solve for domain and range

Q: Əf Əf Find and дх ду 2 f(x,y) = √x² + 3y2

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Q: y" - 16y = 4t Initial conditions: y(0) = 0 y'(0) = 33/4

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Q: 5. Given the vector u = [2,6,-3] a) Draw the vector. 78 b) Determine a unit vector collinear with u.…

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Q: 1. For vectors ū and shown, drawu - 20 13 19

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