State whether the given sums are equal or unequal. 14 Σ' and Σκ-5 i=1 k=6 O Unequal O Equal Question Help: Message instructor Submit Question Jump to Answer

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Q: (b) (i) If y=-e 1 show that dy k = dx 22 e NIX

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: Show that M8 Σ n=1 1 is divergent without using any of the tests you have seen so far. Use the…

A: We need to show sum is divergent.

Q: Question Find all points on the curve defined by the equations (t) = 5+4√t and y(t) = 4t - 4 with a…

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Q: 9. The area of the region S that lies under the graph of the continuous function is the limit of the…

A: Please see the below picture for detailed solution.

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Q: Find the time required for an investment of 5000 dollars to grow to 8100 dollars at an interest rate…

A: Topic:- application of algebra

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Q: Simplify cos(t)csc(t) to a single trig function.

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Q: Estimate Ay for y=2x² +8x+2 at x = 1 and Ax=0.4. Round to 3 decimal places.

A: Given,            y=2x2+8x+2 at x=1 and △x=0.4To find : Estimate △y, round to 3 decimal places

Q: Calculate the integral approximation S6 for 1 Så 21 dx. zº+1

A: we have to calculate the integral ∫4911+x6dx  using S6 here   a = 4   and  b = 9  and n = 6    here…

Q: Find the general solution of the HLDE (D2 + 2D + 1)(D2 + 4)? = 0

A: The given equation is; (D2 + 2D + 1)(D2 + 4)y = 0

Q: For f(x, y) = e²z+15y, find the second order partial derivatives fry and fyr of the function. O…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

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Q: Consider the following initial value problem, defined for t > 0: dy dt a. Find the Laplace transform…

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Q: b) Evaluate S (6x5 — 5x¹ + e*)dx.

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Q: stion Determine the concavity of the curve represented by the parametric equations x(t) = −3t² - 3t…

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

Q: 3. Graph the function =) lim f(x) x-1 Evaluate. If the value does not exist, explain why. a) lim…

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

Q: Consider the function f(x) = 8x¹0 + 10x52x¹ - 9. Enter the antiderivative of f(x) Question Help:…

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Q: The vector equation r (u, v) = = u cos vi + u sin vj + vk, 0 ≤ v ≤ 8π, 0 ≤ u ≤ 1, describes a…

A: Given that , ru,v=ucosvi+usinvj+vk and 0≤v≤8π , 0≤u≤1 find the surface area.

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Q: [x²_9, if X3 and values of & Such that Continuous at x=3

A: condition for continuse at x=3  is  limx→3+f(x)=limx→3-f(x)=f(3)f(x)=x2-9x-3,  if x<3cx2+10, if…

Q: Onsider the indefinite integral ². √³ – 4 dr: his can be transformed into a basic integral by…

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Q: Evaluate the definite integral: T/2 cos(z) T/6 sin¹ (2) dz= (1/(sin

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Q: . (2,3), (4,-5)

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Q: 103.3 5 [ ₁ (+² -5 (x² + 2) dx X

A: ∫xndx=xn+1n+1+clet I=∫-55(x2+2)dx

Q: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. If A =…

A: The universal set is U = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}. and A =…

Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: FIND THE 2ND DERIVATIVE 4. cos xy-y-3x = 0 Solution:

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Q: Evaluate the iterated integral by converting to polar coordinates. 1/2 [1² [VF] xy² dx dy 31.

A: To evaluate the iterated integral by converting to polar coordinates.∫012∫3y1-y2xy2 dx dy

Q: 95. Hours of daylight in Boston. The number H of hours of daylight in Boston t days after the vernal…

A: iven H = 12 + 3 sin2πt365where H = numbers of hours of daylight

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Q: For the parabola 4x + 2y² + 8 = 0, find the directrix.

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Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

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Q: Find the surface area of the part of the sphere x² + y² + z² = 9 that lies above the cone 2 = √x² +…

A: To find the surface area of the part of sphere lying above the cone.

Q: Find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

A: To find the area of a triangle whose sides measure 50 inches, 22 inches, and 36 inches.

Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

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Q: The system of first order differential equations y₁ = -6y₁ + 8y2 + 1 y₂ = 8y1 - 6y2 + 1 where y₁ (0)…

A: Please see the below pictures for detailed solution.