For the function g(x)=x^2 -2x + 5 estimate for the instantaneous rate of change at x=3. Round to the nearest whole number.

Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: What is the area of AABC given mzB = 83°, a = 25 feet, and c = 40 feet? O 561.46 feet² O 496.27…

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Q: What is the exact value of csc. 0-2 cola 3 0 24/3 03√2 3

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Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) | 0 ≤ y ≤ x ≤ 1}. D Then the double integral…

A: We have to find D.

Q: Given y=(3-ex)/2ex  , determine the behavior as x approaches negative infinity

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Q: Find the Wronskian of the functions f(t) = 3et sin(t) and g(t) = et cos(t). NOTE: Your answer must…

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

A: Rewriting the solution

Q: Use the Table of Integrals to evaluate the integral. 6 1 dx X 4x 7 Select the correct answer. The…

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Q: x +…

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Q: Differentiate: 4. y = 6* log7 x

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Q: Find the area of the of the region that bounded by the following cases: TT 1- the curve y = cosx…

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Q: 1 x-3 x2-3x-4 dx

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

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Q: Suppose the function fix)=Lnx-x² + 2X-1 the interval... contains at least one root of A(-2,-1] B…

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Q: Consider the vector between (-2,-5, -3) and (5, 10,7). 1. The vector is 2. The length of vis 3. If…

A: Consider the vector between (-2,-5, -3) and (5, 10,7).

Q: Evaluate the integral Select the correct answer. ( x + 6 In ( e* - 1 ) + C ○ 4x-31n (e*-1) + C 6x…

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Q: dv -x +z=lz N

A: Given :dvdz=e-xz

Q: 24\x² dy_ (xy + y²) dx = o

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Q: Use logarithmic differentiation to find the derivative of the function. y = (x5 + 2)²(x4 + 4)4 y'(x)…

A: By using logarithmic differentiation to find the derivative of the given function.y=x5+22x4+44

Q: 3) lim(x - 1)-¹ Inx x-1

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Q: For the next two exercises, determine the Taylor series generated by the function f at x = a.

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Q: At what point(s) on the curve x = (x, y) = 6t² + 4, y = t³ - 7 does the tangent line have slope?

A: This question is related to parametric curves and slope of tangent, we will solve it using given…

Q: The tide depth in Deep Cove, British Columbia, from 4:00 to 15:00 on January 6, 2011, can be…

A: Given, The tide depth in Deep cove from 4:00 to 15:00 on January 6, 2011 can be modelled by…

Q: A marshy region used for agricultural drainage has become contaminated with a particular element. It…

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Q: Evaluate the following integrals C. [x√x + 1dx

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Q: Question 2 Mrs. Parkes Company is thinking of changing the sizes of the bottles. At first the…

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Q: Solve the initial-value problem. 3 dy + 3t²y = 2 cos(t), y(¹) = 0 dt

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Q: dy 4. Solve the initial value problem : (1+x²). -= yx, y(1) = 2 dx

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Q: 24\x² dy_ (xy + y ² ) d x = 0

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Q: convergence : 00 Σ+1*. n=1 1 n 10n (x - 2)"

A: We will use  Ratio-Test to find the solution

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

A: To solve the differential equation.

Q: Q2-Solve the differential equation dy = - y xcos² (-) dx

A: I am attaching image so that you understand each and every step.

Q: 03: Evaluate the following integrals: dx (4) √√√²+4x+4

A: Solve the integration

Q: Suppose that f(x, y) A D Then the double integral of f(x, y) over D is f(x, y)drdy = and the region…

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Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

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Q: Find the area K of the triangle specified below. a = 19, b= 19, c = 19

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Q: (2) Show that y=x sinx is a solution to y"+y= 2 cos x.

A: To Show: y=x sinx is a solution to y''+y=2cosx

Q: 2. Find the Laplace transform Y(s) of the solution y(t) of the initial value problem y"+4y=0,…

A: Apply Laplace transform on both sides

Q: H.W (5) Solve the following differential equations of (3x² - 6xy) dx +(-3x²-2y) dy=0

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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: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

A: Rx=45x-0.5x2, Cx=6x+10, when x=30 and dxdt=15 units per day

Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 2 + 5x² + 4y², the planes x = 4…

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Q: 2 IF □ is defined by ▼ ах functions and A&B are differentiable Show that • (A+B) = √•A + V•B. = it 2…

A: Please see the below picture for detailed solution.

Q: Q4/A/Find for the following functions (+) dx 1. y = cot 2. y = sinxtanx

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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: Given AABC, what is the measure of b? 58 53° Ob=2.899 Ob= 8.555 Ob= 10.619 Ob 11.690 10

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Q: Given the function f(x) = x² + Draw a sketch of the graph of f. 16 X x>0

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

A: Given equation:- 8x2+3y2-176x-42y+1091=0