Solve dy/dx = y2 - 4

Q: Exercise: 1) fx²e-3x dx 2) f x² Inxdx 3) sin3x cos4x dx

A: Given integral

Q: f(x) = x³ - 27x + 8

A: f(x)=x3−27x+8

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Q: 6. Logarithmic differentiation Use logarithmic differentiation to evaluate f'(x). f(x)=(1+x²)in x

A: The given function .The aim is to find the derivative of the function using the logarthim…

Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A: Assume that  are both  differentiable  functions of t.(a) To find , given that (b)  To find , given…

Q: Let 16x-5 1x² +5 Enter the exact value of the one-sided limit lim f(x) 3-2 f(x) = if x ≤ 2 if x > 2

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Q: HOMOGENEOUS DIFFERENTIAL EQUATION Solve the following differential equations using HOMOGENEOUS DE.…

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Q: -3 3 -3 I У X

A: From the given graph The horizontal asymptote is The vertical asymptotes are and

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A: The given polar curve .The aim is to find the slope of the tangent line to the polar curve at the…

Q: Estimate f (5.06) for f as in the figure. y=f(x)/ ƒ (5.06) ≈ (4,2) (10,4) Tangent line X (Give your…

A: The figure is given as,Estimate

Q: If u and v are the vectors below, solve the following equation for the vector x. 2 4 u= -1 v=|–1 5…

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Q: Use Lagrange multipliers to find the minimum value of the function f(x, y) =x² + y² subject to the…

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Q: The form of the partial fraction decomposition of a rational function is given below. A = B = C= Now…

A: Given,

Q: Find the area of the shaded region. y 3 2 1 (1, 1) 2 y = ³x y || 4 1 X 6 X = 8 CO 8 X

A: Given equations of the curve

Q: (3) Redo Question (2) of Homework 1 using the Exact approach 2xydx + x²dy = 0

A: Given Differential Equation is as follows

Q: LET • (CX)= In [x²(x+5) ³ (x² + 4)⁰7 f'(x) = LET F(x) = \n [X²(X + 3) ³ (X² + 2)²] Cico

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Q: Consider the following situation. A company purchased computers for each employee and two all-in-…

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Q: Find the general solution of the differential equation below and check the result by…

A: given differential equation

Q: Let f(x) = 3x + 3 and g(x) = −3x - 7. Compute the following. (a) (fog)(x) (b) (fog)(8) (c) (gof)(x)…

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Q: (Order your answers so the x-coordinates are in order from least to greatest.) f has ---Select---…

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Q: For the vectors u = 37 - 8j + 2k and v=4i - 23 - 4k we have ū × v = 28i + 20j +38k. Select one: O…

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Q: Suppose that 4x²+ 10 x+ 10 < g(x) < 4x²-3x+10 for all 0. Compute the exact value of lim g(x) x-0

A: finding the limit

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

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Q: 1) fx²e-3x dx/

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Consider the function f(x) = 2x³ – 2x on the interval [-5, 5]. (a) The slope of the secant line…

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Q: Find a general solution of the differential equation 2 dy dx You may leave the solution in implicit…

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Q: What is the center of the sphere given by the equation x² − 6x + y² – 2y + z² + 8z + 17 = 0? -…

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Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A: Consider the curve

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

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Q: 3 Use algebra to find the point at which the line f(x) T- 4 59 6 h(x)= - Y 4 3 C Write the values of…

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Q: 4 Sª 3 16 (x-7)(x + 9) dx

A: I=∫3416(x−7)(x+9)dx

Q: Evaluate the limit: limħ– →0 0-2 01/1/20 0 - 12/1/2 2 an ( 7 +h)-tan (7) h

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Q: Consider the function f(x) = 2x³ + 3x² - 36x - 54. a. Find the first derivative. f'(x) = b. List any…

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Q: 1. Solve dy 3-x-y dx x + y

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Q: 1. Use Calculus to find the absolute extrema of f(x)=3x4-4x³ -36x² +28 on the interval [-3,4].

A: By using Calculus to find the absolute extrema of  on the interval .Note: Since the student has…

Q: cb+2π f" sin z dz = Sov20 a+2π a sin x dx

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Q: Find the form of (but do not solve for any coefficients in) the appropriate particular solution Y…

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Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

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Q: X 3. Verify that f(x)=- satisfies the conditions of the Mean Value Theorem on the closed interval…

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Q: 8. Consider the gradph of the function f(x, y) = x² - 5xy given by z = x² - 5xy (a) ( (1,2). Find an…

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Q: Find the absolute maximum and absolute minimum of the following function on the given interval. 1…

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Q: Baseball A (square) baseball diamond has sides that are 90 feet long (see figure). A player running…

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Q: 2) Draw a direction field for the given differential equation. Based on the direction field,…

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Q: Find all values of x and y such that f (x, y) = 0 and fy(x, y) = 0 simultaneously. f(x, y) = x² +…

A: The given function .The aim is to find all values of  and  such that .

Q: Find f. f(x) = f"(x) = 8x³ + 5, f(1) = 6, f'(1) = 2

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Q: Use the Table of Integrals in the back of your textbook to evaluate the integral: sec² (9t) tan²…

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Q: (a) Find the unit tangent vector on the curve r(t) = [cos (t),2t,3sin(4t)] when t = 0.

A: To find the unit tangent vector on the curve .Note: Since the student has posted multiple questions…

Q: For the given double integral, sketch the region of integration and write an equivalent double…

A: For the given double integral, to sketch the region of integration and to wrire an equivalent double…