Q4 Use the method of Disks to calculate the volume obtained by rotating the planar region R about the x-axis, where R is the region between the x-axis and y = √sin(x), 0 ≤ x ≤n.

Q: In each case, select the correct answer. You do not need to show your work. Use the graphs below. If…

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Q: Find a general solution to the given Cauchy-Euler equation for t> 0. dy dt dt +8t- 18y = 0 The…

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Q: Solve like in samples image check . handwriting solve 3. f(x)= (9x³+4x²)³

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Given that the directional derivative of f at the point (3, -5, 6) in the direction of a = 7i-4j-4k…

A: We need to find del(f)

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. 1/128…

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Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: To find a unit normal vector to the surface at the given point. Surface: z=x2+y2 Point: 12, 16, 20

Q: 2. The graph below is the derivative function f'(x). Determine: a) the intervals of increase and…

A: As you have asked multiple subparts so I have answered the first three subparts as per the…

Q: f(x) = 4x + 4 if x ≤ 1 -2 if 1 2 x² +3 if x ≥ 4 < x < 4.

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Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(2, 4, -1). NOTE: Enter…

A: We have to find the directional derivative of f (x, y, z) = (2y) / (x+z) at P( 5,2,-4) in the…

Q: Show all steps for each part of the curve sketching algorithm clearly, number each section in your…

A: We can do only first 3 sub parts so doing first 3 sub parts you can repost remaining one.

Q: 3. The following refers to the vector equation Ax Ax. For the coefficient matrix A given, determine…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an…

A: 1) maximum of function  2) minimum of function

Q: Let f(x) =x^a (1-x)^b where a and b are any two positive numbers. Use f in parts (a)-(b). (a) If…

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Q: ·X= 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be…

A: 36) Given that a rectangular tank with square base.  whose volume is given that is V=108 ft³  Also,…

Q: Find the directional derivative of fat P in the direction f(x, y) = 3x³y¹; P (5, 1); a = 7 i − 24 j

A: given function is :-f(x,y)=3x3y4point  P(5,1) and  a = 7i-24jthen we have to find directional…

Q: Find Vz. 8x + 5y 8x - 5y NOTE: Give your answer in unit vector notation; that is, in terms of i and…

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Q: The water level of a certain body of water is changing at a rate of W(t)= 1- inches per hour, where…

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Q: 3 Find ³6xln xdx. Then select the correct choice. Select the correct answer below: O The integral…

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Q: Suppose dy/dx=(2x-3)e^x2-3x and y(1)=4. what is y(2)?

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Q: Use the information given below to indicate whether the given sets express a function or a…

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Q: This is similar to a problem in the textbook. Year 1950 1960 1970 1980 1990 Rate of change (million…

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Q: Determine using implicit differentiation. dy dx 4x³ +2y³ = 3y 2x³y² + 5y³ = 4x-1 2x 3x + y =y Note:…

A: 1st...4x3+2y5=3y2nd....2x3y2+5y3=4x-13rd....2x3x+y=y

Q: Each of the following questions carries the stated number of marks. Write your answers in the space…

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Q: Select the expressions that are equivalent to 7(q+5)

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Q: Sketch the curve of the given function analyzing the following. 2 -12x-4 y 1) Find all the…

A: y=fx=-12x2-4x3 Note:- Since you asked multiple subparts ,according to our policy we can solve first…

Q: You are given the graph of a function f. 0 concave downward 1 Determine the intervals where the…

A: You are given a graph of a function f. To determine the intervals where the graph of f is concave…

Q: Values of a function V(t) are given in table. t 2 5 8 11 14 17 V(t) 0 31 23 17 8 6 Answer the…

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Q: Suppose f'(x)=12√1+4x where f(0) = 5. 1) Find the general antiderivative, f(x). 2) Use the initial…

A: Given

Q: Use the quadratic function f(x) = -x² - 4x + 4 to answer the following. (a) Express the function in…

A: Given quadratic equation  f( x ) = -x2 - 4x + 4

Q: 3- For the following network, determine the critical path. The duration of each activity (in day) is…

A: Critical path is the longest duration to complete an activity

Q: Suppose dy/dx=2x cos (3x^2) and y(0)=1. what is y(1)?

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Q: The quadratic function f(x) = a(x − h)² + k is in standard form. (a) The graph of f is a parabola…

A: Please see the below answer.

Q: a. Write the intervals where f(x) ≤ 0. b. Write the intervals where f(x) > 0 and slope of the…

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Q: Find a unit vector in the direction in which f(x, y, z) = x³z² + y³z + z- 4 increases most rapidly…

A: fx,y,z=x3z2+y3z+z-4

Q: x² + y² − 2x + 2y + 1 = 0 b. G

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Q: (x-6)(x+5) (x+2) (x-3) The derivative of the function, f(x), is f'(x) (line method or chart method),…

A: f'x=x-6x+5x+22x-3

Q: use linear approximation to estimate (4.01/sqrt9.02). write your answer as a simplified fraction

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Q: Find Vz. 2x + 5y 2x - 5y NOTE: Give your answer in unit vector notation; that is, in terms of i and…

A: For a function z ∇z = ∂z∂xi + ∂z∂yj Given z = 2x + 5y2x - 5y

Q: Suppose dy/dt=3t2+2t+1 and y(1)=5  what is y(2)?

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Q: Your calculator can be used to directly estimate definite integrals. (See the calculator tutorial.)…

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Q: (2) Suppose we have a second-order constant-coefficient inhomogeneous ODE with a particular =…

A: Particular solution is: yp=cos(x)Two linearly independent solution of the second order differential…

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Q: Between 0°C and 30°C, the volume V (in cubic centimeters) of 1 kg of water at a temperature T is…

A: V = 999.87 - 0.06426T + 0.0085043 T2 - 0.0000679 T3 . Find the temperature where density is maximum.…

Q: 3 x³ +9x² +27x + 23.

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Q: 1. A wrench is used to twist a bolt. A force of 60 N is applied in a clockwise direction at 80° to…

A: Torque is the measure of the force that can cause an object to rotate about an axis.

Q: 12) The owner of a video store has determined that the profits P of the store are approximately…

A: As per guidline we can solve maximum one question you can repost other ones

Q: =- Determine the values of c and d for f(x) = fƒ (7) = 0. For what value(s) of x is f(x) increasing?…

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Q: x ck Examples 3 and and o.j 26. y 1 X

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (d) y" + y = 2x sin(x).

A: We have to find the solution of differential equationy''+y=2xsinx by the method of undetermine…