Use matrix inversion to solve the given system of linear equations. (You previously solved this system using row reduction.) -2x + y = -4 -2x - 5y = -4 (x, y) =

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A: 1) When t = 0, x = 2(0) + 2cos(2(0))       = 2, so the particle is initially 2 metres away from the…

Q: 9. Suppose P = spending s (in a. Is the profi $41,000? R $2000, etc.

A: Given function P = -0.1s3 + 6s2 + 400where P = profit s = spending on advertising

Q: (b) Find the derivatives of the following functions: (i) y=x√ (ii) y = (ii) y = (cos x)" T c) In a…

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Q: Differentiate y = = y=Σ k=0 Σ (k + 1)k+7. k=0 ---

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Q: find the coordinates (x and y) where the tangent has a gradient (slope) of 11 the equation of the…

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Q: Show that these planes intersect in a point for all values of a, b, and c. x + y + z = a x + 2y +…

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Q: 12. Use Newton's method to solve f(x) = 0 where f(x) = x2 − 1. Let xo = 3. Compute X2- O=3+0 0 + O =…

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Q: For what values of a and b is the following function continuous at every x? 1 x≤ - 1 f(x) = ax-b -…

A: condition for f(x) is continuse at x=-1 limx→-1+f(x)=limx→-1-f(x)=f(-1)condition for f(x) is…

Q: (a) Use logarithmic differentiation to find the derivatives of the followin x. cos²x e (1) Y x² + x…

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Q: A ball of radius 15 has a round hole of radius 8 drilled through its center. Find the volume of the…

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Q: Write a polynomial f(x) that satisfies the given conditions. Polynomial of lowest degree with zeros…

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Q: 44. lim X-π/2 sin (cos x) COS X sin/Ind

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Q: Find parametric equations of the line through (-3, 1, 5) that is parallel to 2i-5j+k. x(t) y(t) ||…

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Q: D) f(x)= In x+2

A: Calculate differentiation for            f(x)=ln(x^3)/(x+2)

Q: Suppose a product's revenue function is given by R(q) = -3q² +800q, where R(q) is in dollars and qis…

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Q: F) y= 4x³ In(8x)

A: y=4x3ln8xd dx(xn)=nxn-1d dx(lnx)=1xd dx(ab)=b×dadx-a×db dxb2

Q: Use the figure below to answer the question. C A E B If mDE = 41.8°, find m2O in degrees. m₂0 = x. X…

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Q: Your monthly profit (in dollars) from selling magazines is given by P = 6x + 6x + 10 , where…

A: The solution is shown below-

Q: The average value of v(t)=e².cos(t) over the domain [1, 4] is approximately: -1.149 x x 106 2.516 ×…

A: To determine the average value of vt=et2·cost over the domain 1, 4.

Q: For the following graph, identify the points where the local and absolute maxima and minima occur.…

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Q: Suppose the function f(x) has a domain of all real numbers and its derivative is shown below. f'(x)…

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Q: 8. 5x³43x²+72x+36> 0 10. 2x²-x-4

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Q: 42. Use cylindrical coordinates to find the volume of the region bounded below by the plane z = 1…

A: The solution is shown below-

Q: Graph the Polar function r = f(0) = 2 - 3 cos 0

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Q: Evaluate lim X→ -8 x + 1 (x-1)(x-2) Be sure to state the way it approaches any asymptotes.

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Q: y = g(x) on [-3, 4] is given by the following curve, which is composed of two line segments and a…

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Q: 7:49 AM 76 4· (2 √² + 3× 1 - 2 7 + 6x) dx + x(x+27-1)dy-0

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Q: f(x)=x√x²+4 defined on the interval -5 ≤ x ≤ 4. f(x) is concave down on the interval x = f(x) is…

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Q: Consider the function f(x) 1 - 7x a. Find the Maclaurin series for f(x). f(x): = ∞ = n=0 JI Interval…

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Q: 3. An animal population is increasing at a rate of 31+36t per year (where t is measured in years).…

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Q: Estimate the area under the graph of F(X)=X2 +6X+11  over the interval [0,8] using four…

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

Q: 3. Solve for y" for 2x² - y² = 2. 4. Solve for second derivative in the equation tan y = 5x + 3.

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Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 2x² +…

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Q: In an extensive study of cost functions for 40 firms in Great Britain, it was found that if x is the…

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Q: Find the minimum and maximum values of the function on the given interval by comparing values at the…

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Q: Find the area of the region that lies inside both curves. r₁ = 4 sin and 72 = 4 cos 0 OT+4 0 +1…

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Q: 1. Use an appropriate substitution to solve these four ODES: (a) dy dx = x + 3y 3x + y

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Q: Suppose that f(x) and g(x) are given by the power series and CO g(x) = 16+ 40x+37x² + 48x³+. By…

A: The given data is: fx=4+7x+2x2+3x3+.....gx=16+40x+37x2+48x3+....

Q: Use the piecewise defined function below to answer the questions. X ≤ -4 -4 < x < 4 x ≥ 4 X 12| q(x)…

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Q: 11 1+6 2-5 19. 21 -<6 3 s1

A: (19).The given inequality is:x+6x-5≤1

Q: Find parametric equations for the line whose vector equation is give (a) (x, y) = (2,-2) +t(1,-6)…

A: Given  vector equations of lines are :(a) x, y=2, -2+t1,-6(b) xi+yj+zk=k+ti-j+k

Q: Write out the form of the partial fraction decomposition of the function appearing in the integral:…

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Q: 11. What are the local minimum of g(0) = cos² 0 - sin over (0, 2). O 0-1 (at) and (at 7) 3π O-1 (at)…

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Q: Consider the function f(x, y) = 2ye7 and the region R = {(x, y)|0 ≤ x ≤ 1, 0 ≤ y ≤ x³}. (a) Find the…

A: The solution is shown below-

Q: Climate Change The most abundant greenhouse gas is carbon dioxide. According to figures from the…

A: Solution below

Q: Differentiate the function, and find the slope of the tangent line at the given value of the…

A: As we know that, The slope of the tangent line to the given curve is equal to the derivative of the…

Q: O stretch horizontally by a factor of 9, then shift down 6 units O shrink horizontally by a factor…

A: We will find the required

Q: Find the particular antiderivative that satisfies the following conditions: dR dt R(t) = 80 t² ;…

A: Given, dRdt=80t2  R1 = 20  We have to find R.

Q: Let f(x, y) = (x - xy²). In this problem, you will find the absolute maximum and minimum values of…

A: (a) To find critical points, we need to solve for the gradient of f(x, y) and set it equal to zero:…

Q: Find the polar coordinates, 0≤0 < 2π and r≥0, of the following points given in Cartesian…

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