Solve the IVP for y(x): 5 dy dx +=y=7y³, y(1) = 1 X y(x) = =

Q: Solve this differential equation: dy dt y(0) = 2 y(t) = 0.06y(500 - y)

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Q: Make a problem solving (a hard one) regarding the family of curves elimination of arbitrary constant…

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Q: 1) Evaluate the integral 2) Evaluate the integral S 5 sec² t de (tant — - 1 dx 8 x√√x² 2

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Q: 6. f(x)=√x +4 g(x)=x²-4

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Q: Evaluate the integral: Ox= 10 sin(0) 100 sin(0) Ox= 10 sec (0) = 10 tan (0) O (A) Which trig…

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Q: intergrate (ln(x^2+x)/2x+1)dx

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Q: plume of the solid of revolution generated by revc +242 – 27 +33

A: Introduction The solid formed by revolving the cross section area bounded by two curves. The solid…

Q: Consider the following function. Select the number of points of discontinuity for f(x). Then enter…

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Q: Write and evaluate the definite integral that represents the area of the surface generated by…

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Q: Consider the following graph of a function g(x). z=2

A: here , we have graph of a funcion g(x) then we have to evaluate the following limits :-(i)…

Q: [D2a] Use logarithmic differentiation to find the derivative of Show your work and solve for [D2b]…

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Q: 2. a) For what values of x is f discontinuous? b) At each point where f is discontinuous,…

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Q: (b) Show the following. Two mappings f:X→ Y and g:X→ Y are said to be equal (and we write this f =…

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

Q: 1. Determine the equation of the circle with center at (4,5) and passing through (-1,-7)

A: The center of the circle is:  (h, k) = (4, 5) The circle passing through the point:  x1, y1=-1, -7

Q: How is the sum expressed in sigma notation? 22 +27 +32 +37 +42 +47 Enter your answer by filling in…

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Q: 9. * Find the Solution logx16 = 2 O 4 O 8 O -4 O 16

A: We have given logarithmic equation  logx16=2 16=x2 x=16 x=4 x will be positive.   x>0  x=4

Q: -6(-4) - 3(-7) + 5(-5) =       5(-4)+ (-2)7 - 8(-4)      5(-4) + (-17) + 9 – 6(-3) =

A: see below the answer and calculation

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) 7 Lim ( √√² + 1 - 7) t→0…

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Q: B) Solve: (x² + 3y²)dx - 2xy dy

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Q: Sketch a graph of f(x) where f(x) = 1 10 -9 -8 -7 -6 -5 -4 -3 Clear All Draw: کو -2 -1 10 9 8 7 6 5-…

A: The objective is to sketch the graph of f(x)=1 .

Q: A street light is at the top of a 14-ft-tall pole. A 6-ft tall woman walks away from the pole with a…

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Q: Find the volume of the solid generated by revolving the region bounded by y = 4x − x² and y = 0…

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Q: Find the values of x for which the given function is concave up, the values of x for which it is…

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Q: a) Find the simplified form of the difference quotient for the function f(x) = 3x²-3x+5. b) Complete…

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Q: Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x³6x²-15x +4

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Q: 16. f(x)= In ( x²-3x+2 3x2+5x-2/

A: The given function is f(x)=lnx2-3x+23x2+5x-2 We have to find the derivative of f(x).   Note: If…

Q: Find the difference quotient of f; that is, find = 3³/32 f(x)= 3 The difference quotient for…

A: Given: f(x)=3x2

Q: Calculate the volume of the parallelepiped spanned by u = (1,0,3), v = (1, 3, 2), and w = (-5,2,7).

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Q: Find dy/dx if y A. C. 8x -8 8x √(x²-8) ³ B. D. -8 √√(x²+8)³ -8.x √√(x²+8)³

A: Given y=4x24+2 The objective is to find the derivative of y with respect to x.

Q: DETAILS The table shows the position of a cyclist. t (seconds) 0 1 2 3 4 5 s (meters) 0 1.7 5.7 10.9…

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Q: 3. The Horizontal Asymptote of Exponential Function is y=0 O True O False

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Q: Find the volume of the solid generated by revolving the region about the y-axis. The region enclosed…

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Q: 28. y = cos z, y = 1- cos z, 0<x<*

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Q: y" + 4y = sin(t)U(t - 2π) (d) y(0) = 1 y'(0)=0

A: (d) Given that , y''+4y=sintut-2πy0=1y'0=0 Find the solution.

Q: Use Gauss elimination method to solve : x + 3y - 4z = 3 2x + 5y-z = 11 4x - 3y + 2z = 0

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Q: Evaluate tan (cos-¹(-3)) 5

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Q: Test the linear independence of b) u1= u2= u3=<5,2,3

A: The given vectors are u1=2, 1, 6u2=3, 1, 7u3=5, 2, 3 We have to test the linear independence of…

Q: Find the particular solution of the differential equation satisfying the initial condition y(4) =…

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Q: Find the divergence of the vector field F. F(x, y) = 5x²i + 3y²j

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Q: Find the area of the surface generated by revolving the curve y=- The area of the surface is ,…

A: We find the area of the surface .

Q: Solve y'= 10xy - 2x, y(0) = 5 y(x) =

A: To solve the following initial value problem. y'=10xy-2x, y0=5

Q: x² e√x³+1 dx √x³+1

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Q: Suppose that the only thing we know about functions f and g is that lim f(x) = ∞, lim f(x) ⁹(x) x48…

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Q: 10. Find each limit if x→∞0 a) lim 3-2x 3x x² + 3x-18 (x-9)² b)lim- 7 x +31 c) lim(5x +4--

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Q: Use the four-step definition of the derivative to find f'(x) if f(x)= f(x + h) = f(x+h)-f(x) =…

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Q: Let/(x)=x sin2x, find f ƒ^{(-). (A) 0 B с D K|N I -R

A: We are authorized to answer one question at a time, so we are answering the first one. please repost…

Q: M5a) Sketch the graph of a function on domain [-4,4] that satisfies the hypotheses of the Mean Value…

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Q: Name: -1 2. The graph of sin(x) is transformed to produce the function f(x) = f(x - 2) Sketch one…

A: We have to sketch the transformed function.

Q: 2. Simplify the following expressions, justify your answers. 13π (a) sin¯¹(sin ¹3″), 13п (b)…

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Q: Find div(F x G) = V. (F x G). F(x, y, z) = i + 3xj + 8yk G(x, y, z) = xi - yj + zk

A: To find divF×G=∇·F×G.Fx, y, z=i+3xj+8ykGx, y, z=xi-yj+zk