Evaluate the summation 4i + 4. i=1 140 116 224

Q: Vx2 – 2x – 3x 4. lim 4х + 5 I -00

A: Answer Number (4):  To evaluate the given limit without using L'Hospital's rule.limx→-∞x2-2x-3x4x+5

Q: Solve for xx and yy the following system of simultaneous equations…

A: The given system of simultaneous equations,2ln(x)=ln(y)+ln(16)exey=e4

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: 1. Consider the figure below. y=4x VEx+2\

A: Explanation of the answer is as follows

Q: Solve the following indefinite integral. Show complete solutions. 1. S (9z² + 14z – 2) dz -

A: ∫(9z2+14z-2)dz

Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Determine whether the function is continuous or discontinuous 5. f(x) =

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Q: Two plate are joint by three rivets of 15 mm diameter. What is the shear stress in the material if…

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Q: Find a set of parametric equations for the rectangular equation that satisfies the given condition.…

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Q: Evaluate:* (s-20 Is²-9. :L-1

A: Given; (s-20) /(s2-9).

Q: Evaluate the following integrals. Show all the necessary or complete solutions. 3/2 4. S x²ca²- x²)…

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Q: Evaluate the integrals in the following questions using integration by parts for In (x + x²) dx

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Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

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Q: 4. y = e 2coscns (2x) 5. y = e

A: Here we have to find the derivative of question number 4 &5

Q: A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 12 –…

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Q: a) Determine whether the series 11n? + 8n + 32 is n³ + 3n² – 7n+ 1 n=1 convergent or divergent. b)…

A: !) The given series is: ∑n=1∞11n2+8n+32n3+3n2-7n+1 Let, an=11n2+8n+32n3+3n2-7n+1; n≥1& bn=1n;…

Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

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Q: Part (3) Double Integration in Cartesian coordinates: 1) Find the volume of the solid under the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: Use the Alternating Series Test to determine whether the alternating series converges or diverges.…

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Q: 2. Given the points X(-3, -1, 5) and Y (4, 4, -9): A. Write the position vector OX in vector form:…

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Q: (x- 2)² , (y-6)² Problem #4: Find the slope of the line tangent to the conic section =1 at 16 25…

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Q: 1- v extends from (0,0) to (-3,2). Vector W extends from (0,0) to (-3,5). a- Find the magnitude of V…

A: This is a problem related to vector. Based on the general formula and concepts we will answer the…

Q: 2- Suppose that vector v has initial point (-4,5) and terminal point (-1,12). a- Find the component…

A: a)A position vector v→ is defined as a line extending from the initial point (x1,y1) to the final…

Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: y2+8y+5 (y-1)(y+1)(y²+8)² Integration by Partial Fractions

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: 6. Solve the differential equation: 2хydx + (x? - 1)dy -D 0 A. x'y - 1 = C B. x*y - y = C С. x' y =…

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Q: 3. 4x 3 + dx

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Q: Given. f: {a, b, c, d} to itself f(a) = d, f(c) = a, f(a) = b, f(d) = c, f(b) = a Which of the…

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Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: (a) Find the general solution of the differential equation dx = x – x2 dt (b) Solve the following…

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Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

A: Trapezoidal rule: One of the most significant integration rules in Calculus is the "Trapezoidal…

Q: S (3x – 2)° dx

A: To FInd : ∫3x-22dx

Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: d²y - y = у 3 10sin?x %3| dx2

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Q: 1/5 Find the minimum and maximum values of the function y = (t – 312)" on the interval [-1,2] by…

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Q: Find critical points of the function e(2 -3x) O x = 0, x = 1 O x = 1, x = 3 O x = 0, x = 2 O this…

A: Topic = Derivative

Q: Let f(r, y) = -Vx² 4 (a) Find the domain and range of f. (b) Draw a contour map of f for k = -3, -2,…

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Q: Use the above formula to write each of the following limits as an integra (a) (b) lim n00 j=1 n2 +nj…

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Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: for In (x + x) dx

A: A detailed solution is given below.

Q: Evaluate the integral given. sec(2a)tan(2a)dx +C %3D

A: ∫ sec(x)tan(x) dx =sec(x)+C

Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability

Q: (a) Find the general solution of the differential equation dx = x – x² - x? dt (b) Solve the…

A: Topic:- application of integration  Note:- as per our guideline if more than one question uploaded…

Q: Evaluate the definite integral. et dx J1 xyln x

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Q: Solve the differential equation: y" - 4y' = 0.

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