Find the vector equation for the line of intersection of the planes 2x + y - 5z = 5 and 2x + 2z = -1 ,0) +t(2, r =

Q: A spherical balloon is inflated so that its volume is increasing at the ft ³ rate of 9 How fast is…

A: given  volume increasing rate is  9 ft3mingiven  radius=4 ft formula for volume is  V=43πr3

Q: Sº The Simpson's Rule approximation for cos(x) Т da with n= 6 is:

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Q: Solve the right triangle. Round your answers to the nearest tenth. 43° 25 4 b a A a = b =

A: Explanation of the answer is as follows

Q: Find the Laplace transform of the function √3, 0<t< 2π 0, 2π ≤ t < 00 f(t) = { NOTE: Express the…

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Q: PART THREE: ab* + k ➤ In this part, you are going to explore the effect of parameter k to the…

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Q: Find the limit of the rational function (a) as x→∞ and (b) as x→→ ∞. 4 3 2x + 5x - 1 f(x) = 2 2x -…

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Q: Given cost and price​ (demand) functions C(q)=150q+46,400 and p(q)=−2.2q+820​, What price must…

A: The given cost function Cq=150q+46,400 and the price​ function pq=-2.2q+820.We have to find the…

Q: Evaluate the limit: lim x = x→13 ←

A: The answer is in step 2.

Q: If a = (2, -1, 7) and b = (2, 2, 1), find the following. axb = bxa =

A: The given vectors a=2, -1, 7 and b=2, 2, 1. We have to find the values of a×b and b×a.

Q: PART THREE: ab* + k In this part, you are going to explore the effect of parameter k to the…

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Q: 9-14x-2>4

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Q: 7. Piper has worked for the same company for 7 years, and each year she gets a raise of $2,000. In…

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Q: Integrate the following: (a) fx sin 4x dx

A: Since you have posted multiple question in this question which are not interlinked and i can answer…

Q: Let f(x) = ln f'(x) = 8x + 4 7x 2

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Q: What is the solution to this problem?

A: Which of the following correctly uses absolute value to show the distance between -80 and 15?     A.…

Q: Find the area of the triangle determined by the points P​, Q​, and R. Find a unit vector…

A: The given points are: P=-2, 2, 1Q=1, 0, 2R=0, 1, -2

Q: Suppose lim_ f(x) = 4. x-5 Which of the following statements are true without further restrictions…

A: Please see the below pictures for detailed solution.

Q: An arithmetic series is defined by the formula ax= 8n - 1. Write an expression for the sum of the…

A: To find an expression of first n terms of arithmetic series.

Q: Estimate the limit numerically 4h-1 lim h h→0 1 1.

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Q: ↓ 10. Change from logarithmic form to exponential form y = ab" y 5 1 -13 log, y=5.3¹ 11

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Q: which of the following functions of f  has a removable discontinuity at a? If the discontinuity is…

A: Please see the below picture for detailed solution.

Q: B global and local maximum A local minimum O a. For a maxima, O b. For a maxima, In the Picture,…

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Q: Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let |a|…

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Q: The following table records some values of the functions f and g. X 0 1 2 3 4 5 f(x) 1 0310 21 36…

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Q: the point at which the line intersects the given plane. x = 22t, y = 3t, z = 1+ t; x + 2y - z = 4 -,…

A: we will find the required.

Q: Match each equation with its graph. (Do not use technology.) -2 (a) y = x² Oh 9 f (b) y = x³ f 9 (c)…

A: Graph of the functions are given, we have to match its equation.

Q: as x 1 Let #E(³ (R), such that ‡ (x) = 2(x-1) + 3 (x-1)³ + 0((x-1)³) It's true that A. (2) = 5 B. ¹¹…

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Q: Given the demand function D(p) = 375 - 2p², Find the Elasticity of Demand at a price of $7

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Q: Differentiate: y dy dx = In(x) x7

A: given  y=lnxx7we know  d dx(lnx)=1xd dx(xn)=nxn-1d dx(ab)=b×d(a)dx-a×d(b)dxb2

Q: Kakashi researched elk population in the area and created the following model to assist him in…

A: Given at t=6 a model designed to calculate the number of elk at a given time t  gives the result as…

Q: Find the slope of the line y = 8x + 8. Slope =

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Q: Find the equations of the tangent and normal lines to x²+2x al at point (0,-1)

A: Given x2 + 2x = 1 let y = x2 + 2x - 1

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. lim f(x)…

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Q: S (6 + 11/12 - 11/12) dx 3. 6x 1 3r3 +== 1 Y + C

A: Given query is to find the integral

Q: .-1 If g(x) = (4-8x)/(2-3x), then determine the value of g ¹ (2.56). Enter your answer as a decimal…

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Q: Use the Substitution Formula, f(g(x))-g'(x) G S 0 - cos 3t)sin 3t dt a g(b) • g'(x) dx = f(u) du…

A: according to guide line we do only first part of multiple (a)  H=∫0π6 (1-cos3t)sin(3t)dtd…

Q: 4. J(4x+ 3)2dx 16 4.39x3 x3 + 12x2 + 9x + C

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Q: For f(x) = 2x² - 4x² + 5 find the following. 4 (A) f'(x) (B) The slope of the graph off at x = - 4…

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Q: f(x) Собх if X <0 if x=0 1-X² if X ²0 Q=0

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Q: Find a degree 3 polynomial having zeros -8, 4 and 7 and the coefficient of ³ equal 1. The polynomial…

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Q: The vector v=ai+bj is perpendicular to the line ax+by=c. Use this fact to find an equation of the…

A: Please see the below picture for detailed solution.

Q: The functions f, g, and h are defined as follows. 2 x +3 7+x f(x)=√√-3-8x Find f(-2), g (3), and h…

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Q: Given that  lim x→3 f(x) = 1    lim x→3 g(x) = −4    lim x→3 h(x) = 0, find the limits, if they…

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Q: Use f(x) = ln √x² +81 to answer the following questions. (a) Find the interval(s) on which f(x) is…

A: Given function:- fx=lnx2+81

Q: Determine if the given function is continuous at the indicated number x = c. If it is discontinuous…

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Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

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Q: c)  x f(x) 4 -42.0000 5 -52.0000 6 -62.0000 7 -72.0000 what is the the formula, f(x)=__________

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Q: 16-25 x² dx

A: Given,             ∫16-25x2dx

Q: A. The image below shows a side view and a plan view of a pool. You are required to: 1. Identify the…

A: In the side view of the pool the walls are in the shape of trapezium.The two parallel side of pool…

Q: 4. Find lim x→-5 x² + 2x - 15 (x + 2)²-9

A: