Find an equation for the plane through the points (3, 4, 5), (-1, 2, 0), (-2, 0, 2). The plane is

Q: Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given…

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Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: Kendra bought 188 donuts for $160. Her profit was $40 once she had sold 100 donuts. Which equation…

A: Find profit

Q: Find the vector and parametric equations for the line through the point P = (-1, 4, −4) and the…

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Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: x5 + 16 (x²-x)(x4 + 8x² + 16)

A: Topic:- application of calculus

Q: Assume that u v = 5, ||u|| = 5, and ||v|| = 8. Calculate the value of (4u + v) · (u – 5v). (Give…

A: Given u.v=5, u=5 and v=8

Q: Obtain general solution xcos2ydx+tanydy=0

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Q: Recall the integration by parts formuala: Complete the following computation = [f(a)g'(x)dx =…

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Q: 5. Find when y-In () A. 2000)+ sin(x) B. In (()) 2² C. xoos (x) + sin (0 D. 2009 (3) sin(x) xsin (x)…

A: Given: y=lnsinxx   As we know that; The Chain rule: fgx'=f'gx·g'x The Quotient rule: fg'=f'·g-g'·fg2…

Q: -10 -10- 0 -5 5 10

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Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: Apply the substitution to transform the integral into a trigonometric integral. Do not evaluate the…

A: ∫x316-x2dx

Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: Find a parameterization for the curve shown in the figure below. r(t) = where = -1 1,0 -1 <t<

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Q: Find a nonzero vector normal to the plane z − 5(x − 1) = −2(3 — y). - -

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Q: Use the following function and its graph to answer (a) through (d) below. 4-X, X2. Let f(x)= a. Find…

A: Given that fx=4-x,x&lt;2x+1,x&gt;2Solution :

Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: Consider the planes given by the equations − (x + 2y + 5z) = 1, - x=y+z= 4. (a) Find a vector…

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Q: 2. At what point does g(x)= have a removable discontinuity? A. x=8 B. x= 8 C. Nowhere D. x= 1 E.…

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Q: Fill in the rest of the table. xf(x) g(x) 3 2 4 1 1 2 3 4 10 5 3 4 2 5 1 LO 5 f(g(x)) g(f(x))

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Q: Find the domainof the function. Give the result in interval notation. f(x) = 7/1−2e^x

A: Given function f(x)=71-2ex

Q: Given f(x) = 19xº sinx+12x−7, find f'(x). f'(x) =

A: Concept: Differentiation: The slope of the tangent to the curvey = f(x) at (x, f(x)) is the…

Q: The height y (in feet) of a ball thrown by a child is 1 -x² + 4x + 5 Y 14 where x is the horizontal…

A: Topic:- calculus

Q: • [F(x) dx (a) Given f(x) dx = 7 and (b) (c) (d) [²² [[9 L²90 [f(x) + g(x)] dx [²² [g(x) = f(x)] dx…

A: ∫29f(x)dx=7∫29g(x)dx=-3rule:∫abcf(x)dx=c∫abf(x)dx  , where c…

Q: olve the initial value problem dy ¹y = x² + 3 + e²x, y = −1 when x dx

A: Topic:- differential equations and integration

Q: The horsepower H required to overcome wind drag on an automobile is given by  H(x) = 0.00004628x3,…

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Q: (y-x)=y-x+ 2; y=x+2√x+4 When y=x+2√x+4. Y' = Thus, in terms of x, (y-x)y' = y-x+2= Since the left…

A: If  y=x+2x+4 is a solution of (y-x)y'=y-x+2 then it must satisfy it.

Q: Evaluate the integral A) 16T -3 4 x² + 8x + 17 dx.

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Q: the properties of the cross product to ma following calculations. (a) ((j + k) × j) × k = (b) (i +…

A: We will find the required.

Q: For each equation, solve for X, Y, and Z. 1. 2X + 4Z 1/2Y

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Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)), and f(f(x)). f(x) = x³; g(x) = 4x -…

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Q: The online program at a certain university had an enrollment of 540 students at its inception and an…

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Q: In a series resistance-capacitance DC circuit, the instantaneous charge Q on the capacitor as a…

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Q: Find the integral. (Note: Solve by the simplest method - not all require integration by parts. Use C…

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Q: The monthly supply and demand for a particular bike is represented in the accompanying graph. The…

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Q: Calculate the Taylor polynomials T₂(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A: The given function is f(x)=sin(x) Here we have to calculate the Taylor polynomials T2(x)=? and…

Q: Let F = 1xi + 5yj and let n be the outward unit normal vector to the positively oriented circle x² +…

A: To find the flux we have to first compute unit normal vectors by using formulan=Gradient…

Q: b) Calculate the following definite integral: [*(√x - 3) dx

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Q: Suppose an arrow is shot upward on the moon with a velocity of 38 m/s, then its height in meters…

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Q: If you use the ratio test on the divergent series inequalities will result? A. lim,- >1 > 1 1 >1 81…

A: Topic:- sequence and series

Q: The fox population in a certain region has an annual growth rate of 6 percent per year. It is…

A: Concept: The fox population in the year 2000 is 18000 Here the year 2000 is taken as starting year…

Q: Find and simplify each of the following for f(x)=3x-6. (A) f(x + h) (B) f(x+h)-f(x) (C) f(x+h)-f(x)…

A: Given query is to perform indicated function operations.

Q: The derivative of e" is e. What is the derivative of e? There are two functions named 'sinh' and…

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Q: Find  f(a), f(a + h),  and the difference quotient  f(a + h) − f(a) h,  where  h ≠ 0. f(x) = 6x3…

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Q: Find the difference quotient and simplify your answer. f(t) = 1 / t-4,  f(t) - f(3) / t-3,  t ≠ 4

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Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: valuate: fe²z cos(e³)dz = + C Hint: Rewrite e² = e.e²

A: Please refer to the image below

Q: 3. The following definite integral equals: a. √2-2 b. 2-√2 c. 2+ √2 d. None of the above answers…

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