(D² + 3D + 2)y = 12x²

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

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Q: Suppose R is the region bounded above  by the graph of f(x)=8x−x^2 and below by the graph of g(x)=x ...

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Q: Determine whether it is possible to express 1 as a liner combination of 1= m· 44 + n·91,. for some i...

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Q: Figure 1 below shows the region R bounded by the curves y 4x, y =-4x and the line y =2. Determine th...

A: Given that, There is a graph between two function y2 = 4x, y2 = -4x and y = 2. We have to Find the a...

Q: The demand function p = D(.) = -0.3x + 33 and the total cost function C6) = 1.277 + 9.2x + 65 for a ...

A: We need to find all x where production is profitable.

Q: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

A: A particle starts at point (1, 0, 1) and moves 2 units along the curve defined by a vector equation ...

Q: Find the vertical shift of the sinusoidal function. fx 7- 5- 4 720 540 360° 180 081 360 540 72에 -2 -...

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Q: 1. What is the volume of a cube whose edges are (4a + 3) cm in length? A. 64a³ – 48a² + 36a − 27 ??³...

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Q: Write a full solution  Let consider the following function: f (x) = 2(x + 1)^2  −8.  A) Find f(−2)...

A: Solution is written in step2.

Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: III. Multiple Choice: Choose the correct answer and write the letter of your choice on the ANSWER SH...

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y =...

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Q: y = (3 + e“)“ dy Use Logarithmic Differentiation to find dx dy

A: We are asked evaluate the derivatives

Q: If g(x) = In(2x), estimate g'(3) by finding the average rate of change of g over the interval [2.9, ...

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Q: Si cos°(3x)sin (3x) – cos (3x) sin°(3x) dx

A: First we common out cos7(3x) sin7(3x) and then apply the formula cos2(3x)-sin2(3x)=cos(6x)

Q: A particle moves along a straight line and has acceleration given by s"(t) = 5t. [ts initial velocit...

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Q: a) Given a proposition: 1+ 3+5+ ..+ (2n – 1) = n² +1. Demonstrate whether the proposition is a fact ...

A: We have to show given proposition is fact or faulty proof (proposition is the basic building block o...

Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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Q: d (4z' +7z+8 2.)- dz Evaluating the derivative using quotient rule:

A: Given that ddz4z3+7z+8z Solution :using quotient rule ddz4z3+7z+8zzddz4z3+7z+8-4z3+7z+8dzdzz2z12z2+7...

Q: Figure 2 shows the shaded region S bounded by the curve x = y² – 2y + 1 and the line y = 3. Find the...

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Q: Simplify f(x). х3 — 4x2 - 16х + 64 f(x) = X - 4 x² – 4 for x * 4 f(x) =

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Q: Find the radius of curvature of the following curve at the given point. Then write the equation of t...

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Q: If g(2) = 3, g'(2) = 5, h(0) = 2, and h' (0) = 4 find F'(0). F'(0)

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Q: Suppose F(G(x)) = x³ and G' (1) = 5. Find F'(G(1)).

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Q: d 4z3+7z+8, 2. dz 3. dx (x)(3x² – 9)

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Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If...

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Q: If is the diameter of the circle with A = (-2,6) and B = (5, 4), then the center of the circle is at...

A: AB is the diameter of the circle with A=-2,6 and B=5,4

Q: B. EXACT EQUATIONS Find the general solution of the following differential equations dx (2) 3y sin x...

A: for the exact DE we have to make it separable DE so that we can separate the variables and then inte...

Q: 9. A lot has the form of a right triangle, with perpendicular sides, 90m and 120 m long. Find the le...

A: Given:       

Q: Find the particular solution for the differential equation: y' + xe = -2x %3D for the boundary condi...

A: Topic = Differential equation

Q: Find the linear approximation to f(x) cos(x) at x = 0. O L(x) = O L(x) = 1 O L(x) = 1+ x O L(x) = 1 ...

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Q: first

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Q: Given the series: 25 125 3 + +. 72 12

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Q: .3 f(x)dx = 5, f(x)dx = 2, and f(x)cx= - 1, find f (x) dx If A) 2 в) -з c) 3

A: Topic = Integration    

Q: Find the derivative of the following functions using the limit definition. 1. y = x² – 4x – 5 -

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Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: v(t) = Vt* – Vt, en find the second derivative, "(t) = ...

A: We will use the following formula to find the second derivative i.e d/dx(xn)=nxn-1

Q: 7. Compute , and- axay : f(x,y) = (x + y)(2x + y)² ax 'ay

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Q: Find the Differential Equation of number 3 question [2x+ycos(xy)]dx + xcos(xy)dy = 0

A: Follow the procedure given below.

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: 9. The three midpoints are given as shown below. A (X), y1) D(-7, 6), F (2, –2) G (x, y) B E (8, 5) ...

A: Since you have posted multiple questions , as per our guidelines we will answer the 1st question for...

Q: xdy – ydx – /x² – y?dx = 0 -

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Q: eliminate the arbitrary constants x2/a2 - y2/b2 - 1

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Q: Fi ind the derivative with respect to x of f(x) = ( (3x³ + 8)' + 4) 9 + 2.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 4) Show that the circumference of the unit circle is equal to 2 dz (an improper integral) 1-22 Evalu...

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Q: Find the equation of the curve for which y" = x, and which passes through the point (1, 2) with (A 3...

A: Given y'' = x  and the curve passes through (1,2)  with a slope of 5/2. which means y(1) =2, y'(1) =...

Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

A: topic - equation of ellipse

Q: Find the standard form of the equation of the parabola with the given characteristic(s) and vertex a...

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Q: 9. Let f(x, y, z) = xyz=1 and r(t) = (e', t, t²). Find f(r(t)) at t = 1.

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