Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3)

Q: Let f(x)=2x2+12 and let r(x)=9x for x>0. Find a simplified formula for the composite function f(r(x)...

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Q: Question 9 = sin20 +C, then f (0) =-cos20. 2 A True B) False

A: topic - derivative

Q: 2 . Complete the following tables of values to investigate (x - 2x + 4) f(æ) f(x) 0.5 1.6 0.7 1.35 0...

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Q: 1 I. Evaluate dV, where E lies between the spheres x? + y² + z² = 1 and x2 + y? + z² E x2 + y? + z? ...

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Q: Suppose that the cost, in dollars, for a company to produce x pairs of a new line of jeans is C(x) =...

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Q: Find the tangential and normal components of acceleration at the given time t for the plane curve r(...

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Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: If the domain of the function f(x) is {r E R| – 2 < x < 4}, the the domain of the function g(x) = f(...

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Q: Seax sinh ax dx ах

A: Given integral is  ∫eax·sinhax dx To evaluate the value of given integration, we will use the    sin...

Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

Q: Let f (x, y) = 3y O 1 x/3 1/(3у) (1/3)y

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Q: 8 -5 -8 Factor out (1 + z )° from (256z°+ 150z + 150z - 25z- 25z° + 3 + 3z1

A: Given:    256z-5+150z-4+150z-6-25z-2-25z-8+3+3z-10

Q: Simplify to a single trig function with no denominator. csc- 0 cot? 0

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Q: Spot the mistake/s in the solution. Tick the box that applies. CSC csc" da -2 dx 3 S cccx cot x dx *...

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Q: -sin20 + C , then f (0) =-cos20. 2 A True B) False

A: Solution: f(θ)=12cos2θ

Q: 10 -10 At what values of x does ƒ (x) has an infinite limit (as x approaches this value)? Write down...

A: Given: To find at what value of x does f(x) has an infinite limit.

Q: Find a parametrization of the circle of radius 8 in the xy-plane, centered at (1,−4), oriented count...

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Q: Question Evaluate the following limit using L'Hospital's rule. lim (x+ 6) In ( (æ + 6)² ) z-6+ Provi...

A: if the limx→af(x)g(x) is of the form ∞∞ then by L'Hospital rule the limit is equivalent to limx→af(x...

Q: Determine whether the following is always true or not always true. Given reasons for your answers. J...

A: let Vector  u=u1,u2,u3  v=v1,v2,v3  w=w1,w2,w3 

Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: Bottled Water Sales The following chart shows annual per capita sales of bottled water in the United...

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Q: Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter...

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Q: The temperature of a metal ingot is 60°C above room temperature right now. Ten minutes ago, it was 6...

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Q: Country Population Size Number of Eggs Consumed Number of Cattle Area United States 325 millio...

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Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: Given the differential equation y" - 3y' = &x2 + 7x – 11 Determine the Characteristic Equation for t...

A: here we have to find characteristic equation and solutions of given differential equation.

Q: A. Find the differential equation: (1) whose general solution is y = c,e-2x + Cze3x (2) by eliminati...

A: To find the differential equation.1 whose general solution is y=c1e-2x+c2e3x.2 by eliminating B and ...

Q: 7. The point of contact for a tangent to the curve f (x) = º is (2,4). It intersects the x and y axe...

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Q: Find u v. u = 4i - 3j v = i - j V U V =

A: Finding the dot product of u and v

Q: Find the orthogonal trajectories of the family of circles through the origin with centers on x axis.

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Q: On the graph of f(x) = cot x and the interval 2T, 47), for what value of x does the graph cross the ...

A: Follow the procedure given below.

Q: Consider the following curve. y = 3x2 13x + 1 Find the slope m of the tangent line at the point (5, ...

A: We have to find tangent line

Q: 2. Examine the given graph of f(x) and evaluate the following. 44 а) lim f(x) = d) lim f(x) = 2 lim ...

A: We have to find the limit of f(x) using the graph of given function.

Q: IT sin't cos*t d t

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Q: Find the Domain and Range x-4 1. y

A: Given that: y=x-4x       NOTE: As per our answering guidelines, we can only answer 1 question or 3 s...

Q: 7/3 tan'x secºx dx 30.

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Consider a polynomial f (x) = ax³ – bx +c. Find the value of b if f' (2) = 0 and fl" (2) =44. -

A: The solution is given in the next step.

Q: The curve C is the portion of the graph of y = 16* for 0 <z < 2 (distances measured in m). The curve...

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Q: Use the information to answer the question. A student was given x - 1 when x <2 f(x) = 3x when x22 T...

A: Given that: f(x)=x2-1 when x&lt;23x       when x≥2

Q: QUESTION 4 Given f(x) = 8x3 + 2x. Estimate the value of f(2.01) using differential.

A: Given that: f(x)=8x3+2x

Q: Set up and evaluate the integral that gives the volume of the solid generated by revolving the plane...

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: Estimate the slope f'(3.5) for f(x) = sin(3x) using: %3D a. Forward difference approximation with h ...

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Q: Calculate the Taylor polynomials T,(x) and T3(x) centered at æ = 1 for f(x) = ln(x + 1). T;(x) = T;(...

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Q: In Exercises 1 – 3, find (a) shape, (b) amplitude, (c) period, (d) width, (e) shift, (f) (x,), T1, x...

A: Given: (1)     fx=3 tanπ x-2π3-2 (2)    fx=-3cot2x-π3+1

Q: For the following exercises, find the volume generated when the region between the curves is rotated...

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Q: të the area covered by the curv om xi X2

A: Given query is to find the area bounded by the curve from x= -1 to x = 1.

Q: cos(- 18x 14 COS Find the limit lim a Note: Give the exact answer but not the decimal approximation ...

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Q: S*(1+v*) -\dv (cot-ly2) 2.

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Q: Determine the force due to hydrostatic pressure on a gate of an 8 ft tank filled with water (62.4 lb...

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