Determine the vector and parametric equations of the line through A(6,2,5) and B(9,2,8)

Q: True or False: To evaluate the integral [sin we save one sine factor and use sin’ x cos xdx, 6 sin²x…

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Q: Find the four second-order partial derivatives. f(x,y) = 3x³y - 5xy +9y fxx (x,y)=[ fxy(x,y)= fyx…

A: Let us consider a function f(x,y) Then fxx=∂2f∂x2, fyy=∂2f∂y2, fxy=∂2f∂x∂y=∂2f∂y∂x=fyx

Q: Find the areas of the regions enclosed by the following curves. (a) r = 1+2cosł

A: Given curve, r=1+2cos(θ) For range let r=1+2cos(θ)=02cos(θ)=-1cos(θ)=-12⇒θ=2π3

Q: lan on = 2 · (² x ²+) ·cos (nwot) at O = = [² (1-²) 2 17 11 =2 -21- 2² (1-1) Cos (2nπrt) dt 21 t)…

A: I have given the delated solution to get circled part. If you want the final answer, kindly use the…

Q: Graph the line with slope 3 passing through the point (-2,-2). 4

A: NOTE: Refresh your page if you can't see any equations. . the given slope is  and the given point…

Q: Is (1,1) a unit vector? Explain. Choose the correct answer below. O A. (1,1) is not a unit vector,…

A: We can solve this as follows:

Q: 3 dx (e³x + 1)

A: Find d/dx

Q: Find an equation for the line tangent to the curve at the point defined by the given value of t.…

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Q: Let "r" and "h" be the radius and height, respectively, of the right circular cylinder of maximum…

A: Let's find value of r + h.

Q: Evaluate the integral Select the correct answer. O ㅇ 12 πC 24 πC 12 + + + 나이 이어 나이 이어 1 4 −|◄ −|+…

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Q: ind f'(x). f(x) = ln(cos5(3x4))

A: topic:- derivatives

Q: A pilot is flying from Daytona Beach to Prescott. The two cities are 1874 miles away from one…

A: Let speed of light  = Va         wind speed  = Vw = 12mph  let flight flying direction WαN       ⇒…

Q: 1. Find the area of the region bounded by the graphs of y = x² + 2, y = -x, x = 0, and x = 1. Hint:…

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Q: Use a graphing utility to complete the table and estimate the limit as x approaches infinity. Then…

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Q: You purchase a 50# case of potatoes. Once peeled, you are left with 35# of usable product. What is…

A: You purchase a 50 case of potatoes.Once peeled, you are left with 35 of usable product.

Q: Suppose that a tank with a capacity of 90 gallons initially contains 60 gallons of pure water. A…

A: NOTE: Refresh your page if you can't see any equations. . w=amount of salt(in pounds) at time t…

Q: Justin leased equipment worth $70,000 for 5 years. If the lease rate is 5.75% compounded quarterly,…

A: calculation of lease payment are as follows

Q: Evaluate the integral. Oin | +0 | C In (x-8)² x + 7 In |(x-8) ³² (x + 7) + Din ((x=83² ) +1 In C + 7…

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Q: lim (x,y)→(0,0) lim (x,y)→(0,0) 7x²+4y 4y 49x²-98xy+49y² 7x-7y

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Q: Examine the graph of (a) below, and find the values given below. If the limit does not exist write…

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Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

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Q: 15. Find the volume of the solid generated by revolving y-axis, the area enclosed

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Q: Use an appropriate test to determine whether the series given below converges or diverges. 00 Σ n=1…

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Q: Use the Limit Comparison Test to determine if the following series converges or diverges. 00 Hint:…

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Q: A circle is inside a square. The radius of the circle is increasing at a rate of 3 meters per day…

A: This question is based on derivative application.

Q: Find the minimum cost of producing 50,000 units of a product, where x is the number of units of…

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Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: f(x, y) = -(x-7)² In²(y + 4)-(4x + 7y)². a) Find all the first partial derivatives of the function…

A: As per the guidelines of bartleby the first question from multiple questions is answered at a time,…

Q: Graph the line with slope - 3 passing through the point (-2,-2). 4 D X 5 Ø ?

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Q: The graph of the function f(x) is shown below. At which point(s) is f not differentiable? At which…

A: Given the graph of a function. To find the points where the function is discontinuous or not…

Q: Find G'(w) if G(w) = 9 6 4w +6+ √w.

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis: a. y =…

A: Given :y=2xx=0 to x=4

Q: Question 7 of 10 ImaUna Evaluate 2√5x-2-√2x+4 lim

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Q: 4. The value of A. 2 In x + 1 + B. C. D. 2 ln 2 ln 2 ln 2x² + 3x +3 (x+1)³ x + 1 + x + 1-1 x + 1|- 1…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

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Q: Find the area between y= |x|^y=2-12x₁

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Q: Question 9 Find the derivative of y=e^ cos2x, and use it to find the equation of the line tangent to…

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Q: Find ду ах if 2 Y = (x²+1) • 1₁ (x² + 1) In

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Q: O Differentiate Y 2 +1 3/2

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Q: Let u = (8,4) and v= (9,4). Express 5u + 3v in the form (a,b). 5u+3v => (Simplify your answers.)

A: In this question we have to find the 5u+3v.

Q: Find the minimum distance from the point (6, 0, 5) to the plane x - y + z = 3. (Hint: To simplify…

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Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

Q: 7. f sin4xdx

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Q: (8) A LTI system is described by the D.E. y +6 Y+8y = 2 x (H) find h(t) then find y(t) if X(t) =…

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Q: Write an equation (any form) for the quadratic graphed below 4 3 2 -5 -4 -3 -2 -1 y = 1 -2 -3 1 2 3…

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Q: olve the given differential equation. All solutions should be found. 3x² - 6y - y³ 6x + 3xy² dy dx…

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Q: Find the area inside one loop of the lemniscate r² = 2 sin 20. The area inside one loop of the…

A: Area of a closed region in polar coordinate is given by A=∬rdrdθ see below the answer and…

Q: dx 1. Find the general solution of + dy y+ xy² + x³ x+x²y+y³ = 0 using DE with IC

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Q: Determine the order of the given differential equation and state whether the equation is linear or…

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