II. Solve the following problems: 1. A university holds an essay writing contest in English in which each essay is scored based on the following criteria with corresponding weights: a.) focus 25%, b.) support 25%, c.) organization and format 20%, d.) language us and style 20% and e.) technical convention 10%. The numeric scores are 1 to 10, 10 being the highest score and 1 the lowest. There are five contest pieces. Ms. Ellen A. Cruz's score card is shown below. Which essay is the winner in Ms. Cruz's score? Organization Essay Focus 25% Support 25% Language use 20% Technical 10% 20% 8 4 alpha beta 6 4 gamma epsilon 3 lambda 4 64783 35557 46533 45545 3

Q: -4x⁹. sin(x) (1+x²)² dx=0

A: Follow the procedure given below.

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A: I have appended the formula used in the solution part of the question

Q: Which of the following is not true? 5 dx с dx Ⓒ√² S 25-x² (Α o = lim C-5- o 25-x² 3 dx 3 dx (В lim…

A: We have to determine integral

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: This question is related to Functions, we will solve it using given information.

Q: Using Simpson's method spaces) √²x² dx for n = 4 is equal to Blank 1 (use 2 decimal places with…

A:

Q: Find the exact solution for e2x−4ex−32=0.   If there is no solution, enter NA.   Enclose…

A: Please follow the next step.

Q: A payment of $2,600 was due three years ago, and a payment of $1,450 is due today. What single…

A:

Q: 8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? Ar + B for x 2…

A:

Q: Make Detailed solution TECHNIQUES OF INTEGRATION

A:

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: 10. State whether the following series converge or diverge. Justify your answers. (b) Σ (# + gr)…

A:

Q: Using Trapezoidal method √x²dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: SOLUTION-

Q: 2 ( - 12/² + 1) In X 11) lim

A:

Q: Evaluate f(3x +2)dx

A:

Q: VOLUME Example: ◆ The region bounded by the parabola y = x¹/2 y = 1, and x=4, is revolved about y =…

A:

Q: Use Figure 1 to evaluate each trigonometric function of angle A. The side adjacent to angle A has…

A: We will use simple trigonometric formulae to solve this question.

Q: In evaluating 4 2 2 dx x√√x²-4' is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A:

Q: Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b-…

A:

Q: 2 2. cos² ydy 1+sin y

A: The given integration is: I=∫cos2y1+sinydy   We know the common integral. ∫sinxdx=-cosx+C

Q: 11.J sin 3 x sin 6 xdx 3

A: To evaluate the given integral.∫sin 3x sin 6x dx

Q: solve this. Find the absolute extrema of f on the given interval. (find the absolute maximum value…

A:

Q: 3n³ + 2n² + 1 n→∞ 1+n-2n³ " (a) lim (b) lim x→1 x² + √√√x-2 1 - ln x

A: Topic = Limits

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x²x2 2…

A:

Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

Q: * 5.8x √4x²+5 dx 2(4x²+5)³/2 A. +C 3 O A. OB. O C. * 6. f 35x-1 A. 35x-1 In 3 O A B 5x-1 dx C + C…

A:

Q: 9. f √x³-1dx x

A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

Q: xp zx — 9L^gx f

A: Evaluate the ff. by integration by parts.

Q: Q3/ Solve the following. 1. lim(1 + sin4x)cotx X-0 Inx 2. lim X→∞ √X

A:

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

A:

Q: C Let a and C be positive constants. Let be с the upper semicircle (x − a)² + y² = a² y ≥ 0, from…

A:

Q: A tight headed northeast from P-City to Q-on was sent 10 degrees off course by high winds. The plane…

A:

Q: Evaluate √x² + x + 2 dx x²-1 x+1 In: +C (x-1)² 0₁ (x-1)² In- + C x+1 O x + 1 (x-1)² (x-1)² x+1 X+…

A: Solution is here

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: For each system below that is linear, determine whether it is consistent. (a) 3x₁ - x4 = 1 3x₁ + 3x₂…

A:

Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

A:

Q: 7. f sec5 2 t dt

A: We can solve the integration as below

Q: In evaluating S₂²² 2 dx 2 XV x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x)…

A: We have to find the value of f(x) at given x.

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: A payment of $1,900 is due in 3 years, and $3,800 is due in 5 years. What single payment made today…

A: We want to find the amount he want to pay now

Q: L= dx= 1 -2 X 2x4 (A) True B) False | m 100

A: Use basic integration to evaluate definite integration.

Q: 5. fe²x sin x dx 2x

A: Given ∫e2x sinx dxTo evaluate the integral:

Q: In evaluating 5 dx S²³² is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=4.01.…

A: Given

Q: Given than f(x) dx = -5 and [² 1 (² A [² f (x) dx + ₁²5 (2²) dax = 0 f(x) ® √₁² f(x) dx = 8 B © f…

A:

Q: 6. Where does the normal line to the curve y = x - x² at the point (1, 0) intersect the curve a…

A: Topic = Functions

Q: +6 cos(x³) A True B) False |dx=0

A:

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given, f(x)=x24(1-x)

Q: 4. Find the limit, if it exists. If the limit does not exist, explain why. 3x²+4-4 (a) lim x2x² - X…

A:

Q: Solve the differential equation: sin y (x+siny)dx+2x2cosydy=0

A:

Q: 5. fx √x + 1dx

A:

Q: Find the augmented matrix for the following system of linear equations. 6x₁ + 8x3 = -8 5x₁7x2 + x3 =…

A: Given system, 6x1+8x3= -8 5x1-7x2+x3= -3 9x1+8x2-3x3=7