Differentiate: 3. y = log₂ (x¹ - x)

Q: (6) Solve the following differential equations of 1 xy³dx + (x²y² +1) dy = 0

A: To solve the differential equation.

Q: (6) Solve the following differential equations of ∙y jo.. 2 (2x² + y)dx+(x²y-x)dy=0 3- 4. : 6

A: To solve the differential equation.

Q: Consider a trough with the shape below. 2 m X 5 m 8 m It is full of water, which has a density of…

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Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: 3: Evaluate the following integrals: (2) 4*+23x - dx 2x

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Q: Part 2. Find the Standard Equation 4. parabola with vertex at (5,4) and focus at (-3,4)

A: If the focus and the vertex has same y-coordinate then the equation of a parabola can be given as…

Q: Part One. All of the equations listed below are general equations of conic sections. Study each…

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Q: Find the particular solution to the differential equation dy dr sin(x)-3 that satisfies the…

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Q: Find the dy/dx if y = ett O e** (1 + Inx) Ox*(1 + Inx) et*x*(1 + Inx) O e*(1 + Inx) Find the dy/dx…

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Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

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Q: Suppose a certain drug is administered to a patient, with the percent of concentration of the drug…

A: We are asked to find the interval  of increasing

Q: Ol: a: Graph the function: |y| + |x| = 1

A: Given problem:- Graph the function |y|+|x|=1

Q: Calculate the derivative. g" (0), g(s) = es S+9 (Give an exact answer. Use symbolic notation and…

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Q: Solve the following differential equations of -0 -(x² + y²)dx + (2xy + cos y) dy 2rud

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Q: In 17 years, Selena Willow is to receive $300,000 under the terms of a trust established by her…

A: Recall that the compounded continuous formula:A=Pertwhere A= Accumulated amount, P=present value,…

Q: If y₁ and y2 are linearly independent solutions of ty" + 4y' + te³y = 0 and if W(y₁, y2)(1) = 3,…

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Q: A right triangle has a hypotenuse of length 11 units and includes a 40° angle. What are the lengths…

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Q: In 19 years, Anthony Oaks is to receive $300,000 under the terms of a trust established by his…

A: Solution of given question is written in below steps.

Q: Evaluate the indefinite integral. -3.5 - 15t - 3t-¹)dt (-15-35-3t-1)dt = 1 4 +²√t - 2 In t+c (Type…

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Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $233,000, for…

A: We have to find the present value.

Q: 3. Find the quotient and the remainder for (x4 + 8x² − 6x − 3 ) ÷ (x+2).

A: 3. A polynomial p(x) can be written as p(x)=q(x)d(x)+r(x)⇒p(x)d(x)=q(x)+r(x)d(x) Where, d(x) is…

Q: 2) Find all the second-order partial derivatives of the functions: a. f(x, y) = tan-¹ b. h(x, y) =…

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Q: 03: Evaluate the following integrals: E In(x-1)(x-3) -dx x²-4x+3 (3) S

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Q: Solve the following linear system by using Gauss elimination method 5x₁ + x₂ + x3 = 5 x₂ + 4x₂ + x3…

A: Given that,

Q: 04: Find dy/dx for the following function:: (5) y = x³ log₂ (3 - 2x)

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Q: Write an equation for the parabola shown to the right. The equation of the parabola is (Use integers…

A: Given vertex of the parabola is ( 0, -5 )

Q: Solve the following differential equations of

A: Given differential equation is :

Q: O cos y (cos x + 1)

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Q: 5) Find all values of x for which Σ=1 nxn (n+1)(2x+1)n converges absolutely.

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Q: I don't understand the answer written in this format. Could someone please write the answer and…

A: Rewriting the solution

Q: For Numbers 27-29. Suppose that a particle moves along a line with position s(t) = 2t² + 3t + 1…

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Q: What is the sum of the first 14 terms of the series 9+2-5-12-19-...? O-25 O-98 O-511 O-518

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Q: Find laplase 4- f(t)=e-²¹.t³. Answer by hand

A: Topic = Laplace transform

Q: Find the first derivative of exte-2 y = = ܘ ܘ e+ܫܐܕ 2k+e ye+e 2 ܪܢܐ e+e 2 ܢܐܨ ܐ e+e

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Q: Find the accumulated present value of a continuous stream of income at rate R(t) = $138,000, for…

A: In this question we have to find the Present Value.

Q: If m<A = 29°, m&B = 84°, and c= 14, what are the measures of the remaining sides and angle?

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Q: 1)lim (tanx) cos X-2

A: To find the limit of the given function

Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

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Q: solve the following diff. eque. of едис. 2 -2 O x ý76 Xý tay =

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Q: Differentiate: 1. y = x³ (5.4)*

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Q: 5. y = log(7x + 3). 4²x¹+8

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Q: Part 2. Find the Standard Equation 2. circle with center at (4,-5), diameter is 6

A: Standard form of Equation of circle is {(x-h)^2}+{(y-k)^2}=r^2 Where, h,k = center of circle =…

Q: Solve the following differential equations of 1-' 4. (2xy²-2y)dx+(3x²y-4x)dy=0 ( 7

A: The solution is given in the next step.

Q: The point (-1,-4) lies on the circle whose center is at (3,-1). Write the standard form of the…

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Record your explanation of the solutions to the following. 1. Sketch a function with the following…

A: We can solve as follows

Q: The number of bachelor's degrees conferred has been increasing steadily in recent decades. The rate…

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Q: The figure shows the first three in a sequence of squares. The first square in the sequence has a…

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Q: 9. Expand and simplify the answer. (2x - 2)°

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Q: Q2/A/ Prove cotª @ csc 0+1 + 1 = csc0 B/Find the value of c if f(x) is a continuous function at x =…

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Q: Find an equation of the tangent line to y = 8x tan(x) at x = -2. 3 (Use symbolic notation and…

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