Find the derivative

Q: Consider the following planes. -5x + y + z = 5 15x - 3y + 5z = 25 (a) Find the angle between the two…

A: Consider the following planes -5x+y+z=515x-3y+5z=25a To find the angle between the two planes.b To…

Q: For the following graph, identify the points where the local and absolute maxima and minima occur.…

A: From the given graph we can conclude as

Q: 1. Find the average value of the function over the given interval and all values of x in the given…

A: The solution is shown below-

Q: Differentiate the function. f(x) = x²(x + 8) f'(x) =

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Q: 4. Find the volume of the solid generated when the area bounded by the curves y=x² and y = x³around…

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Q: b) y = 8 + 1 4x² on [1,2]

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Q: Which of the following integrals gives the length of a semicircle of radius 5? ܐܢܘ 5 10 -5 25 - x²…

A: We have given the radius of the circle is 5.Equation of circle is x2+y2=25y=25-x2

Q: 3. Use the limit definition of the derivative to find f'(x) for f(x) = 7x² + x.

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Q: Find the LU factorization of A = -1 -21 -3-7 I₂ A = || 21 x2 = 40 1 0 1 3 -3 -7 -1 0 and use it to…

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Q: 7. Solve for x: 16 X 70⁰ 10

A: As we know from the Sine Rule: sinAa=sinBb=sinCc Given:

Q: secx dx tan" x

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Q: cos* xdx

A: To evaluate the following integral. ∫cos4x dx

Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

Q: Find the open interval(s) where the function is decreasing. f(x) = (x + 1)/(x - 4) typed answer…

A: Given that , f(x)=x+1x-4To determine an open interval where f is decreasing. The function f is…

Q: Use the function below to answer the questions. f(x) = 5x¹/5 - x (a) Find f'(x) = 1 X = 4 x 1 (b)…

A: Given: The function is f(x)=5x15-x   (a). Find the derivative of the given function.…

Q: A company buys a machine for $275,000 that depreciates at a rate of 30% per year. Find a formula for…

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Q: Find the distance from the point (7,1,-2) to the line ä(t) = (-5, 0, -2)t + (0, 3, 6). Calculator…

A: We have to find the distance between the point and line.

Q: 1. Find the length of the arc of the curve 3 (2 x − 1)² from x = 0 to x = 8 - y = 32/2 (2x

A: Given :y=2322x-132

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A: NOTE: Refresh your page if you can't see any equations. . the revenue function is  and the cost…

Q: Find y" by implicit differentiation. Simplify where possible. x² + 7y² = 7 y" = =

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Q: MATCHING LIST Question 8 Match each system of equation to the description of its solutions. 3x-9y+62…

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Q: 6.2 Warm Up After Day 1 Calculus AB Sketch the region created by f(x)=-x² + 4x-5 and g(x)=-5. 1)…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 8. Solve the following. (a) Find the equation of the tangent line to the graph of f(x) = x²-9 at x =…

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Q: JS₂² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

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Q: a = (0, 1, 2), 128. c= (1, 0, 1) - b = (-1,

A: Given: a=0,1,2b=-1,0,1c=1,0,-1

Q: 2 √x (x + 1) ² dx dx =

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Q: Find the derivatives of the following functions. sec5 (x) 1- x-7 (a) g(x) g'(x) = (b)x= dx dt = = 1…

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Q: The functions describes the distances from the origin at time t of an object in rectilinear motion.…

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Q: Solve yy'= -(x+2),Y(0)=\

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Q: Use a power series to approximate the value of the integral with an error of less than 0.0001.…

A: The solution is shown below- As per company guidelines only one question is allowed to answer.…

Q: Find parametric equations of the line that contains the point P(2,-1,-2) and intersects the line L:…

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Q: The short-term demand for crude oil in Country A in 2008 can be approximated by g = ((p) =…

A: The short-term demand for crude oil in Country A in 2008 can be approximated by…

Q: Find the critical points for the function f(x,y)=32xy−(x+y)^4 and classify each as a local maximum,…

A: To solve the following problem

Q: a) f(x) = x2 sin x is restricted to the domain 10 ≥ x ≥ 0  and it has four critical points.  They…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Integral e^x/9+e^2x=

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Q: Differentiate. y' = y sec(0) tan(0)

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Q: Which of the following could be the slope field for the differential equation B MAZZ ~~X1/17 71XSS…

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Q: 3 2 x+カーカー1 カナ 七 -1)dx

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Q: Solve the differential equation y` = (196+ y)²

A: The given differential equation is: y'=196+y2

Q: Use calculus to find the area A of the triangle with the given vertices. (0, 0), (5, 3), (1,8)

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Q: Iff and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) = 2f(x) - g(x) +…

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Q: = 1/₂ F² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

A: We have to find the integral.

Q: If a ball is given a push so that it has an initial velocity of 6 m/s down a certain inclined plane,…

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Q: Without actually solving the given differential equation, find the maximum radius of convergence R…

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Q: 5. Find the points on the graph of f(x) = x³ - 3x where the tangent line has slope 0.

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Q: Let f(u) = √u and g(x) = u = 4 + 9x². Find (f o g)'(3). (fog)'(3) = (Type an exact answer.)

A: f(u)=u3g(x)=4+9x2(f∘g)(x)=f(g(x))

Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

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Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

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Q: How many critical points does the function f(x) = 8sin2 (3x) have on the interval (0, π)? Provide…

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