Previous Problem List Next Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. It forms a pile in the shape of a right circular cone whose base diameter and height are always the same. How fast is the height of the pile increasing when the pile is 10 ft high? The height is increasing at ft/min.

Q: Solve. b+c a + 2a + 2b a -C || 49 8 9 (1) (2) (3)

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Q: en the graph of f’ (not f) is given. Find the marked values of x : (a) f(x) greatest, (b) f(x)…

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Q: 3. Let i, j, k denote the unit vectors along the three coordinate axes. Let v(t) = ti + sintj +…

A: Let i, j, and k denote the unit vectors along the trhee coordinate axes.Let vt=ti+sin tj+cos tk and…

Q: f'(2) = lim h→0 f(2+h)-f(2) h = lim h 0 =

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Q: P XI 3 ① S

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Q: Problems 8-10, Find each of the following limits numerically. x² + 4x - 32 2x² - 8x 8. lim x-4- x² +…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: yl-fl(x)=x² y2-f2(x)=(x+2)³+1

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Set up but do not evaluate the integrals to find the average value of f (x,y) on y ≤ 4-x² and y ≥…

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Q: Evaluate the integral. (Use C for the constant of integration.) 35 dx √x+xVx

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Q: Match the set of curves with the appropriate function. ax

A: see below the answer and explanation

Q: For x. 9x^(2)-3x-1=0

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Q: 1 Find the length of the graph of y=cosh 3x from x = 0 to x = In √2. 3

A: Given y = 1/3 cosh(3x).

Q: When the magnitude of vector b was found in the denominator, shouldn't it have been squared…

A: To explain that the magnitude of vector b should be squared or not.

Q: 2. The following rule, given in the class, is called the chain rule: D(Go F) (a) = DG(F(a)).DF(a).…

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Q: π/4 π/4 [*** (** 0 tan(x) sec²(y) dx dy

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Q: Given that f(x) = 6x − 2 and g(x) = 8 - x², calculate (a) fog(-2)= (b) go f(−2)=

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Q: 4. D (cos cos a²) =

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Q: x+4y=-10 Determine the domain and range

A: Consider the line, x+4y=-10

Q: It is estimated that t days after a virus begins to spread in a town, the percent of the population…

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Q: The equation of motion of a particle is s = t³ - 12t, where s is measured in meters and t is in…

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Q: Find the average value gave of the function g on the given interval. 5 1+t²' 9 ave = g(t) = [0, 7]

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Q: a) Consider the first order differential equation (+²¹² + 1) dy-0 ry'dr + By multiplying the…

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

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Q: Evaluate the following limit. lim h→0 7 7 9+h 9 h Rewrite the given limit in a way that can be…

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Q: A 10 ft chain weighs 55 lb and hangs from a ceiling. Find the work done (in ft-lb) in lifting the…

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Q: Find the value of the constant b that makes the following function continuous on (-∞, ∞). (2x - 6 if…

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Q: Find the value of the derivative of fat x= -1 when f(x) 3x + 2e h 1. f'(-1) = 2e-1 2. f'(-1) =…

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Q: 1x A box is x inches high, (2x+3) inches wide, and (2x+5) inches long. In terms of x, what is the…

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Q: Solve the equation for 0 ≤ 0 < 2π. 5 cos² = 1- cos 0+3 cos²0 O { , } O {5} 3 0 {3,4} O{, T, 5} 3

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Q: A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off…

A: Given query is to find the rate of change of the height of balloon.

Q: The median home value in Delaware and Massachusetts (adjusted for inflation) are shown below. Year…

A: The general equation of a linear trend is given by y=mx+c   We will use the above concept to find…

Q: Solve the equation for 0 < < 2π. 0 = sin² 0 +2 - 2 cos 0 ○ {0} 0 (7,3,7) 6 ° {{} ° {}

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have given equations: 4x+y2=32 and y=x. Now plotting the graph of the given equations we…

Q: Let f(t) = 3t - 7t². a) Find f(t + h): b) Find f(t+h)- f(t): f(t+h)-f(t) h c) Find d) Find f'(t):

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Q: Use the definition of the derviative to compute the derivative of f(x) = at the specific point I x =…

A: Given f( x ) = 2xf'( 3 ) = limh→0( f( 3 + h ) - f( 3 )h )

Q: Use the given formulas to express the number sinh Click the icon to view the formulas. 65 ¹(-99) 72…

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Q: Three matrices A, B, and C are given. Verify by computation of both sides the associative law A(BC)…

A: Given matrices:- A=361-7 B=-69-26 C=-9-63-1

Q: Find the nth term ??of the following sequence of “n-loop” flowers.

A: To find the nth term of the given sequence of "n-loop" flowers.

Q: 32. (a) Suppose that A and B are the matrices of Example 5. Show that (A + B)² # A² + 2AB + B². (b)…

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Q: Q2 Find an equation for the surface that contains all such points P that has equal distance to the…

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Q: (ii) d²y. 9 +y=2 di2 4 31 cos- y=20 with y(0) 2 " 3, dy (0) 2 dt -(0)=-1

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Q: b) Evaluate:- 2 6² 44x² In(x) dx

A: Topic = Integration

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 2x²…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Consider the points A, B E R³ A = (– 1,2,5) and B = (1, 3, 4); determine a parametric formulation of…

A: Given A = ( -1 , 2 , 5 ) B = ( 1 , 3 , 4 )

Q: What is the value of this summation expression? 5 Σ (24 – 5) i=1 O 21 O 36 O 37 O 41

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Q: The line contains the point (1,15) and is parallel to 2y-8x-12. y=4x+11 y=4x+6 2y- 8x=15 y=8x+7

A: Given line  find slope

Q: Let f(x) be the function whose graph is shown below. Determine f'(a) for a = 1, 2, 4, 7. f'(1) = 3…

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Q: Suppose the position of an object moving in a straight line is given by s(t) = 13-12² +8. Find the…

A: Topic = Application of derivative

Q: Suppose f(x) = 4x² + 6x-3. Evaluate the limit by using algebra to simplify the difference quotient…

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