8. 1 (1+x)√√x / dx

Q: V. A hemispherical basin of radius 4 ft contains liquid to a depth of 3 ft. If the liquid weighs 48…

A: This is a problem related to pumping volume of the spherical basin to the 3 ft above the container.…

Q: A car dealership has 4 red cars, 3 blue cars, and 2 silver cars to display in a line facing forward.…

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Q: Find and sketch the domain of the function. f(x, y) - In(4x2 - 4y²) y

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Q: Express the number as a ratio of integers. 3.898 3.898898898...

A: 3.898898898..... this can be written as  3.898898898..=3+ 0.898 + 0.000898 + 0.000000898 + .. ...  .…

Q: x + 2 lim x2x²-4

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Q: find the average rate of change of g(x)= -2x3 +5x2 from x=-1 to x=2 simplify your answer as much as…

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Q: Find the direction angles of the vector. (Give your answers correct to 3 decimal places.) u = −3i +…

A: Topic = Vector

Q: find the higher partial derivative of the following

A: Solve the following

Q: 9(x) f(a) -10-9-8-7-6-5-4-3-2 The graphs of f(x)-- Ox-Intercept O Vertical asymptote O Range O End…

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Q: nin 3.- Make a diagram and calculate the distance from point 0(0, 0, 0) à line r4y2z =8 o punto Make…

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Q: Determine whether the statement is true or false. An equation of the tangent line to the parabola y…

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Q: f(x) = (2x - 3, if x = 2 # 3, if x = 2 12x 3,1

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Q: Evaluate the following integrals: 4T Vcsec 0 de 0

A: We need to do integration of our given function. Which we can do it as

Q: X 1 2 3 1 3 4 Y 2 3 2 5 3 6 The following relationship exist between a dependent and independent…

A: Equation of the given relationship is :y=x2-3x-2.we have to find the values of dependent variable on…

Q: Calculate the following derivative if h(w) = √webw (Use symbolic notation and fractions where…

A: see below the answer and calculation

Q: Solve linear diff eq dy/dx = e^(-x) -4y ; y(0)=-10

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Q: y=? € x ² y² + (y²) ² = 11 - U

A: see below the solution and calculation

Q: 3. g(x) = (2x - 1)³

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Q: The capacities at which U.S. nuclear power plants are working are shown in table for various years.…

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Q: Determine the infinite limit. x² x→9 (x - 9)² lim O 8 88

A: Find out the limit of the function.

Q: A species of bacteria has a population of 250 at 6 a.m. It doubles every 8 h. a) Determine the…

A: Given: Population at 6 a.m =250

Q: Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त…

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Q: ?z Find the partial derivative of z with respect to x ) for z = (3x² + 1) cos(x²y) дх -2xy' (3x² +…

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Q: (X^1/2 + 6) (X^3/2 -32)

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Q: 49-7 Estimate lim *-7 -7 is approaching to using a table of functional values.

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Q: d- ax d² y +6. dx² d³ y dx3 - - Q.2-Solve the differential equation dy 15 - 100y = 0 dx

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Q: Use the Limit Definition of the Derivative to find f'(x) for the following function. You may NOT use…

A: Use limit definition to solve

Q: Graph the parabola. y=x+2x-2 Plot five points on the parabola: the vertex, two points to the left of…

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Q: Solve the I.V.P using [x = zry]. y di dx + (y cos ( 1 ) - x) dy = 0, y (0) = 262

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Q: 3. Graph and then find the area of the region bounded by the curves y = 8x - x² and y=2x−7.

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Q: Determine dy/dx, if the curve is described by the equation 4y^3-5x^2y=4x^2

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Q: Solve the differential equation x²y"— 6xy'+10y = xº cos(2x) . Linearly inde

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Q: Solve the differential equation. 12. ( r + sin θ – cos θ) dr + r ( sin θ + cos θ) dθ = 0

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Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x) (b)…

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Q: 05/ Giving the following data: X 0 1 2 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral [f(x)]³dx by…

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Q: 6. 7. 8. (ex + e + x) dx 24t dt [2(5x) dx

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Q: Find the volume of the solid generated by revolving about the y-axis the region in the first…

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Q: (2y^2 + 3x)dx+2xydy=0 Solve using integrating factor

A: To solve the following differential equation by using the integrating factor.2y2+3x dx+2xy dy=0

Q: Suppose two positive real numbers a and b add to 120. Find the values of a and b that maximize the…

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Q: lim[1-sin x] 19. 0 3 lim(1 + sin x) 20. x→0

A: 19) limx-0[1-sinx]1/x 20) limx-0[1+sinx]3/x.

Q: solve your given pair of complex numbers placing them on an Argand diagram A = 2 +j3 B = 3tj2 C =…

A: Given :- A = 2+j3 B = 3+j2 C= 3-j2 D=1-J2 E = -3+j2 F= -2+j1 Find:- a) X=A+F b)Y=F-A

Q: olve the differential equation y"+4y=sec(2t).

A: To solve the following differential equation  y''+4y=sec(2t).

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

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Q: Find dy dx for sin(xy) + y³ = x² + 1 and use it to find the equation of the tangent line at the…

A: use differentiation for finding the equation of tangent line.

Q: (5) Ind SSS ay dV, where B lies under the plane z = 1+x+y B and above the region in the xy-plane…

A: 5. We need to find the triple integral: ∭Bxy dV B lies under the plane z=1+x+y and above region in…

Q: A large tank is partially filled with 100 gallons of fluid in which 30 pounds of salt is dissolved.…

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Q: H Suppose that f(5)= 1, f'(5) = 3, g(5) = -5, and g'(5) = 2. Find the following values. (a) (fg)'(5)…

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Q: I For what values of x does the graph of f have a horizontal tangent? (Use n as your integer…

A: In this question, we want to know at which points , the function f have horizontal tangent.

Q: From a group of 12 student representatives, 5 will be chosen to work on a committee. How many…

A: From a group of 12 student representatives, 5 will be chosen to  work on a committee. To determine…

Q: Q2:- a. b. Let u=x²-2xy + 2y³ with x = s²ln t and y = 2st³. Find au/as and au/at. find the total…

A: We need to solve the two questions.