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Q: When purchasing a heat pump unit, an installer is given discounts of 12%and 2%. The unit is priced…

A: Given, Marked price (MP) of heat pump =$3400 Discounts 12% and 2%

Q: Find the equation of the tangent line to the curve y=8sinx at the point (π/6,4). The equation of…

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Q: 2. f(x) = x1/2₂ -2 3. f(x) = -2 x+1 4. y= x+1

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Q: Given: (x is number of items) Demand function: d(x) = 921.6 - 0.6x² Supply function: s(x) = 0.3x²

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Q: B: Evaluate the following: r (4)r (²) 1-

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Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Given that A=[4 2 1; 1 5 9; 3 8 7] To find in MatLab: A'=? inv(A)=? size(A)=? A(:,2)=[]

Q: fxsinxdx

A: Given :∫xsinxdx

Q: 1. Find the minimum amount of fencing required to surround a rectangu- lar area of 100 square feet.

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Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: As 'y' is the solution of the differential equation , so it satisfied the given initial conditions.

Q: 1- L-1 6S-4 S²-4 S+16 2 (

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Q: Which of the following is true about the differential equation of the family of unit hyperbola…

A: First we will find the differential equation of the family of unit hyperbolacenter at the line y=x.

Q: find se the formula = lim dy dx || = dy dx dy dx Ду = lim Ax-0 Ax Ax-0 3x² - 4x. when y ƒ(x + Ax) −…

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Q: Given matrices:

A: Given data:- A=42170-71-53B=12-153345-7C=1-24

Q: f(500) = f(1000) = (10000) = Graph f(x) using the graphing utility. f(x) = -10 &x+1 √4x +9 -5 y…

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Q: Find slope of tangent line F(x)= 3x^2+5x-2

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Q: Use Secant method to find the solution of e-2 – – sin r + 2 = 0 accurate to within 10-5. Take po =…

A: The given equation is e-2x-x-sinx+2=0 and initial conditions are:p0=0.5 ,p1=1.0 The formula of…

Q: Solve the problem. The amount A (in g) remaining of a radioactive substance after time t (in years)…

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Q: 3. f(x) = -2 x+1

A: 3). The given function is: fx=-2x+1 And the expression for the derivative is: f'x=lim∆x→0fx+∆x-fx∆x…

Q: Find the slope of the graph of the function at the given point. (If an answer is undefined, enter…

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Q: Which of the following are/is the dependent variable/s of the differential equation. (choose all…

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Q: For f(x) = √ (x^2 − 1) and g(x) = √( x − 3), determine the subset of the domain of g on which the…

A: For fx=x2-1 and gx=x-3, to determine the subset of the domain of g on which the composition f∘g is…

Q: P use Lagrange interpolation formula to determine the relationship between the force and velocity…

A: Let's solve using Lagrange interpolation formula.

Q: Find the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² The…

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Q: 1

A: Given At=te-kt

Q: 1. f(x) = 4x² -5x

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Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

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Q: dP 153 - 17t people per year. Find a dt The population of a town is growing at a rate given by…

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Q: Find the point on the line  y = m x + b  that is closest to the origin.P ( x , y ).The x-coordinate…

A: Given equation of the line is y=mx+b    ...(1)where m=slope of the line and b=y-intercept.The point…

Q: Urgent!

A: Given statement is as px:x2≥1

Q: Pl-8] state the order, degree & Linear/ non-Linear DE. and identify as form, differential form? Q1…

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Q: A = Γλ-4 0 0 X 0 0 2 3 A-1

A: Given :A=λ-4000λ203λ-1

Q: Q5/ A: Solve the following differential equation by Laplace : dy d²y dx² , dx = −6, y(0) = 3 dx 4y=…

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Q: Q4. A. Find the parametric and Cartesian equations of the line connecting the points A (1, 2, -1)…

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Q: 10. Integrate the Exp./Log. Function (integral calculus)

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Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: Determine the complete solution for the following differential equation: y"+y+0.25y=0 if y(x) = y(0)…

A: For a second-order differential function, the characteristic equation will have two roots D1 and D2…

Q: 10.    Use Trapezoid approximation with n = 4 equal subintervals to approximate the value of 1…

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Q: Consider the following. = a₁ 6₁ an + 1 = an + 6 Calculate, to four decimal places, the first eight…

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Q: 5 -4 -3 -2 -1 + -2 1 2 3 4 4 5

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Q: Which of the following differential equation : Show your solution. is the general y² = y sinx = C…

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Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: ood to go Evaluate the integrals S√4x²dx 2. S 1 (4+x²)² dx

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Q: 7. Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x…

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Q: Consider the graph of y = f(x). y 5- 4 3 2 1 1 2 3 4 5 6 7 8 9 Identify the intervals from the graph…

A: We have to identify the intervals from the graph where f′(x)>0.

Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

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Q: If f(x)=x² - 6x — 7 and g(x) = x+1, - find f(x) g(x)

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Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

A: The function is given by fx = x2+x The formula of the slope of the line joining x1, y1  and x2, y2…

Q: =. Sketch the level curves of g(x, y) corresponding level curves for each k. = y-3 at k = -2,0,2 on…

A: Level curve for g(x,y)=y-3x2

Q: could  show the solution of the    (Round your answer to three decimal places.).   and.  Find an…

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Q: Use a calculator to estimate the valuse of the limits correct to two decimal places lim h - 0…

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