Compute the partial sums S2, S4, and S6 of 1 1 1 1 + + 12² 24² 36² 48² (Use symbolic notation and fractions where needed.) + + ..

Q: A-1²3 5. Find the determinants of A= 1 1-6 B -1 4 4 Is det|A| = -det|B|? 5 -1

A: The matrices are A = 21-1-14451-1B = 2-11-1445-11 To determine: The value of determinants of A and…

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A: total derivative of function z = f(x, y) is given as dh(x,y)=∂h∂xdx+∂h∂ydy

Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: Determine the marginal profit for the sale of 500 units of the product if the cost function for…

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Q: Given cos(x): 11/123 on the interval [0, 2π], what is the value of x?

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Q: 3. Consider the following vectors: (2,3) & (-5,1) a. Find the dot product between them b. Find the…

A: We have to find the dot product and angle between two vectors.

Q: Find the average value of f(x) = sint over the interval [0, π]. O 0 01/ O O2

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Q: (7) Given the graph of f(x) below, state the value of the following limits if they exist y

A: as per bartleby guidelines we are supposed to answer first three subparts only please repost other…

Q: Find the work done in winding up a 300-ft cable that weighs 4.00 lb/ft. O 180,000 ft-lb O2400 ft-lb…

A: To find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

Q: Sketch an example of a non constant function f(x) such that - 0 f(x) dx = 8

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Q: 9. 4y Find the relative extrema of f(x, y) 5 Notes: D=fxxfyy (fxy) ² if D>0, then if fxx>0: rel min…

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Q: given fal = √√x-5 and 9(x) = x² + 4x + 2 Find Fog and g of

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Q: If A(t) denotes the annual rate of world consumption of oil at time t (with t=0 corresponding to…

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Q: 3) Determine the Cartesian equation of the plane that has x-, y-, and z-intercepts at 3, -2, and 1…

A: The intercepts are: x-intercept , a = 3y-intercept , b = -2z-intercept , c = 1 To determine: The…

Q: The Second Gate As you move through the first gate, you can see another gate not far in front of…

A: Given: g(x) = x+1x2-1

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: Represent the sum of the complex numbers −3+2i and −3−i on the complex plane. Use the Point and…

A: Given that -3+2i and -3-i To determine the sum

Q: 6. Find equation of the tangent line and normal line to the curve at the given point. x² + 5xy + y²…

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Q: Find the Laplace tranform of the ff: 2x2

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Q: Use a graphing tool to represent the function and approximate the limit. Write an approximation to…

A: Given :- limx→0(e2x-1)x To find :- Use a graphing tool to represent the function and approximate the…

Q: 2. a) Evaluate the integral. sin(3nt)dt b) 2x³ +3x6 dx

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Q: Provide an appropriate response. If cos x is replaced by 1-- O JE] < 0.000014222 OE < 0.000085333 O…

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Q: (2) Prove that TT/2 S tane Z coś 0 (1 + tano) ² 11 #la

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Q: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

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Q: Solve the formula for a a 3a + ag 9 = f Submit Question

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Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

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Q: Let g be the real-valued function defined by g(x)= Find the solution to the equation = This equation…

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Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.

Q: Find the slope of the curve ab²e-b²=5a-16 at the point (a,b) = (0,4) da ㅇ1 11 렇 O None of the above

A: ab2eab-b2=5a-16

Q: The graph of a function f is shown. O O Does f satisfy the hypotheses of the Mean Value Theorem on…

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Q: 7. Sketch the region enclosed by the given curves and find its area. y = sin x, y = cos x, x = 0,…

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Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: 33. f(x) = X 2 x2 - 1

A: As per guidelines we support only three subparts of the questions.kindly repost next questions

Q: The consumer expenditure, in dollars, for a commodity is the product of its market price, p, and the…

A: Consumer expenditure is given by÷ E=9000p-145p2

Q: Solve the equation for n ny+ zp=nq+h

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Q: Find the annual percentage yield, to 3 decimal places, for an investment at a) 8.6% compounded…

A: We are required to find: The annual percentage yield for an investment at:a. 8.6% compounded…

Q: The expression √(3x - 2√x) equals Ax³/2. + Bx where A equals: and Bequals:

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

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Q: (b) x = on the interval 0 ≤ x ≤ 9; about y-axis. ² X=

A: The surface area of rotatint the curve about y axis⇒S=2π∫cdgy1+gy2dy

Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: The least common multiple of the monomials 8a³x6 4a²x6y, abx³y² is: O(a) 8a³x6y² (b) 8a¹bxy2 O(c)…

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Q: Find the critical points in the domain of the function f(x) = 9x³ – 8x. Enter the exact answers in…

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Q: What is the exact value of cos(495°)? A B C D 3 2 √2 2 이 이뤄

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Q: 1. In three-space, find the intersection point of two lines ₁ = (–1,1,3) + t(1,2, −2) and r₂ =…

A: The given two lines are: r1→=(-1, 1, 3)+t(1, 2, -2)Andr2→=(5, 3, -3)+s(-2, 1, 1) where s, t∈ℝ

Q: h(x): x² - 7x + 10 x-5 a x 5 x=5 8. Let for some constant a. If h is continuous for all real…

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Q: Given the matrices A and B, solve for X. 5X - B = A. 5 A: - [31]-[9] = and B = -4 Select one: a. O…

A: A = -35-3   -4   ,   B = -3  4-355X-B = A

Q: Consider the funtion f(x)= 7x+1/2x-1 a)Determine the simplified first derivative and use it to find…

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Q: Given that v = (0, -2) and w = (5, -8), what is w - v? A (5,6) B (5,-6) C (-5, -6) D (-5, 6)

A: Explanation of the answer is as follows

Q: The Fifth Gate After traversing your continuous path, you finally arrive at Gate 5. Your computer…

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Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A: Given integral  ∫0e0ln( 2x )dxAs we know that e0 = 1∫01ln( 2x )dx