Use Midpoint approximation with n = 6 equal subintervals to approximate the following. 1 ln(x + 16)dx   0 Find an upper bound for the Midpoint approximation. (Use this theorem.)

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A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

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Q: Q No 3.Evaluate (a) S - (1-cosx}idx (cosz(1+cosx)(2+cosz)jå (b) S **(cos"i 3=)*dx Vi-92

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Q: Condense the expression to the logarithm of a single quantity. -2 log6 3x

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Q: 1. Find the area of the region bounded by y = cos x and y=cos'x for 0sxsn/2. Note: Make sure you sho...

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Q: 1. у%3D 1/3 х3 — x2-2х

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: 1.. The differential equation (3x² + 2.xy + 4y²)

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Q: x- 9 lim x-9 x²- 81 2.

A: Topic   = Limits

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Q: dy y - 5a- da 3x2 + 2x = 0 %3D 2y = 5x + 6z² - 4x In a + cr 5y = 2a + 4x-6z In a+ ca %3D Option 1 O ...

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Q: Find two positive numbers whose product is 36 and whose sum is a minimum. (If both values are the sa...

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Q: Which of the following functionis islare homogeneous? You could choose more than ane from the choice...

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Q: S(7x-2)³ dx = (7x-2)4 + C. 28

A: The given integral,      ∫7x-23 dx=7x-2428+C

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Q: solve the area bounded by the curve y=4x-x^2 and the lines x=-2 and y=4

A: To find out the area bounded by the curves.

Q: Do not skip any steps Find the numerical value of both expressions. Give the exact value and do not ...

A: QUESTION-  Find the numerical value of both expressions. Give the exact value and do not use a calcu...

Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider...

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Q: EXERCISE 2.3.1 Find D (-13). EXERCISE 2.3.2 Find D (8x). EXERCISE 2.3.3 Find D (x"). EXERCISE 2.3.4 ...

A: Topic = Derivative

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Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: Question 5 Find the value of df/dx at x = f(a). f(x) = x - 3x + 5; a = 5 1.

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Q: Determine the point on the curve for the function H(x)=(-5x+7)(2x+3) where the slope is -1/2

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Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

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Q: Evaluate the integral. (If the quantity diverges, enter DIVERGES.) ∞   0xe−x dx

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Q: Calculate two iterations of Newton's Method for the function using the given initial guess. (Round y...

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Q: ædy – ydæ = (x² – y²)dy (tan y – 2)dæ + (* sec² y + +) dy =

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Q: 34. y = -x2 + 6x – 8, y = 0; about the x-axis %3D

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Q: 1. y= (1/3)x-(1/2)x² - 2x 2. y (x2 + 2)2

A: SEE THE GRAPH GIVEN BELOW.

Q: Compute the partial sums S3, S4, and S5 for the series and then find its sum. 1 n + 3 1 n + 2 n=1 (U...

A: The given series is  ∑n=1∞ 1n+2-1n+3

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Q: QUESTION #3 DRUG DOSAGES Thomas Young has suggested the follow- ing rule for calculating the dosage ...

A: This is a problem related to derivation of the function.  Here we will first differentiate dosage wi...

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8  

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Q: Find the derivative of y=arcsinx with respect to x || 3x? b. V1-x 1 3x2 1 а. С. d. .6

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