Find the derivative of the given function. y= 1 = (8x² + 4x) e¯8 - 8x y' = ☐ (Type an exact answer.)

Q: A plane P1 in R3 is perpendicular to the vector n = (3, 1, 3), and contains the point (-3, -6, -3).

A: Step 1:​(a) Plane P1​ is perpendicular to the vector n=⟨3,1,3⟩.Normal of plane: n=⟨3,1,3⟩Plane P1​…

Q: Find the area of the surface generated by revolving the curve y = √√/85-x, 36≤ x ≤ 49, about the…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. 3 2…

A: The volume of the conical tank can be expressed using the formula V=31​πr2h Take note that the tank…

Q: Question 3 The following are the abridged financial statements of Moon Ltd ("Moon") and its…

A: Step 1:Moon Ltd acquired the 360,000 ordinary shares in Yodo Ltd at the cost of N$400,000. This cost…

Q: Let a = (4,6,5) and b = (3,1,1) be vectors. Compute the cross product a × b. ax b = ,

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Q: Solve the triangle. B = ° (Do not round until the final answer. Then round to the nearest degree as…

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Q: 12. Find a normal vector n and an equation for the planes in Figures & (A)-(C).

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Q: Consider the function y = f(x) shown in the graph below. At points x = 1 and x = 3 determine whether…

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Q: Solve the differential equation by using integrating factors. y' = 7y + 3

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Q: Use the table graph to answer question in photo.

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Q: 2. Assume that f is continuous on [1,5] and that f(1) = 20, f(5) = 100. Determine whether each of…

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Q: Step by step help please

A: Step 1: Step 2: Step 3: Step 4:

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ 0<π r = = 3(1 -…

A: Step 1: Analyze the Polar EquationThe equation r = 3(1 - sin(θ)) defines a relationship between the…

Q: 1. (a) Differentiate and substitute to show that y = x - x-1 is a solution to the differential…

A: Step 1: Step 2: Step 3:

Q: LET A BE THE AREA OF A CIRCLE W/RADIUS r. - IF dr/dt = 4, FIND "HE WHEN r = 5

A: Let us use the concept of time rates or related rates for this problem. First, recall that the…

Q: A valve on a storage tank is opened for 4 hours to release a chemical in a manufacturing process.…

A: From item (a), the exponential model for the flow rate is,R=e6.072−0.6243t Solving for the define…

Q: Please see image

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Q: Find at least 10 partial sums of the series. (Round your answers to five decimal places.) n 1 2 3 4…

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Q: Knowledge/Understanding Multiple Choice: ! 1. If u = [2,3,4] and v = [-7,-6, −5] find 2ū – 3v a) [9,…

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Q: Solve the initial value problem y' = 2yx tan2x, y(0) = 3 And specify for which x the solution…

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Q: Help me please

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Q: 5

A: Step 1:​From the graph:g(−3)=3,g(−2)=2,g(−1)=−0.5g(0)=−2,g(1)=−2.5,g(2)=1,g(3)=3​Step 2:​(a) The…

Q: 79, 73, 72, 70, 72,56,81. What is the median daily high temperature, in degrees Fahre A 71 B 72.5 C…

A: Question 9Given: 79, 73, 72, 70, 72, 66, 81, 75 To find the median of the given data, arrange the…

Q: Suppose R is the solid bounded by the plane z = 5x, the surface z = x², and the planes y = 0 and y =…

A: To rewrite the iterated integral in the form dzdydx

Q: Solve xy' = 3y — 5x, - y(1) = −2. (a) Identify the integrating factor, a(x). a(x) = (b) Find the…

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Q: [[ Suppose f(x)dx = 2, f(x)dx = -6, and g(x)dx = 7. Evaluate the integrals in parts a - d. 3 5 5 -…

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Q: Please answer parts a and b

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Q: 8

A: We can estimate the Riemann sum using left and right-hand endpoints by calculating the width of each…

Q: The following system is reduced to the given matrix below using the Gauss-Jordan elimination method:…

A: Steps

Q: Change the logarithmic expression to an equivalent expression involving an exponent. 3. log4 16=>

A: If you have any problem let me know here in comment box for this thankyou for your question.

Q: Calculus A lighthouse that is 5 km from the shore is rotating at 2 revolutions per minute. Calculate…

A: 1. Define Variables:Distance from lighthouse to shore (radius): d=5kmAngular speed of rotation…

Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (neglect air…

A: Step 1:Step 2:

Q: Test the series below for convergence using the Root Test. Σ (3n+4)* n= n The limit of the root test…

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Q: Solutions to question 4 please

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Q: Find the derivative of y y=x" Option 1 Option 2 π.χ Π x" Inx

A: To find the derivative of y = xπ, you can use the power rule for differentiation.The power rule…

Q: Solutions to question 1 please

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Q: t (minutes) 0 10 18 22 30 v(t) (meters per minute) 0 150 230 -100 200 Cameron jogs along a straight…

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Q: K If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

A: If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

Q: I need

A: Step 1:Step 2:Step 3:Hope this helps!

Q: Use the washer method to find the volume when the region between y = x + 2, y=2x-1, and x = 0 is…

A: Step 1: To find the volume using the washer method, we integrate along the y-axis. The washer method…

Q: г 4. Find the vector equation of the line that a) passes through the point A(3,-2,0) and is parallel…

A: Step 1: Step 2: Step 3: Step 4:

Q: Q5

A: 1. First, we look at what's under the line in the integral2. We make it simpler by changing it into…

Q: 10 logio (10x) dx = 1/10 ○ 31n10 ○ 21n10 ○ 101n2 ○ 10ln3

A: Step 1: ∫101​10​xlog10(10x)​​dxFirst we will convert log to ln. As log10(10x)​=log10e​loge(10x)​Then…

Q: Question 3

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Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ <π r = 5 sin(20)…

A: First, note that (sin(2θ)) completes one full cycle from  (0) to (2π) as (θ) ranges from (0) to…

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: The given revenue function is: R(x,y)=110x+160y−3x2−2y2−xy Find the partial derivative of R with…

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

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Q: TRY !!! (HOMEWORK) 1/4 YP S (23/3 + 1/√4x³ - 11/11 + 4 × 5) dx уз 3√x

A: Step 1: Step 2: Step 3: Step 4: