Use the trapezoidal rule of integration to determine the value of the following integrals (a) (b) 2 (c) x In x dx; with (h = 0.1)

Q: Match the conclusion of the D-test D(x,y) 0, f_xx (x,y) 0, f_xx (x.y) 0, f_xx (x,y) > 0 (x,y) is…

A: Given problem:-

Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: Write the quotient in standard form. 4+i 4-i

A: 4+i4-i

Q: 4. Determine the general equation of the plane containing the points P(1, -4, –5), Q(2,0, 13) and R

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Q: f(x) = x-1(x² + 1)vx %3D

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Q: Simplify arctan 4+ arctan 7. 0° 45° 90°

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Q: A juice company wants to sell juice in 444-ml containers. How much packaging would be saved by using…

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Q: Radioactive elements disintegrate spontaneously in a process called radioactive decay. The rate of…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: The given function is: h(p)=p-1p2+2 To find the derivative of the function using the quotient rule:…

Q: 2. Find the absolute maximum and minimum values of the function f (x) = - on the closed interval -2…

A: We need to find absolute max and min value in given interval.

Q: Find the amplitude and period of the function. y = 3 + 1/2 cos(?x) amplitude=           period=…

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Q: .3. cot°x csc*x dx

A: Find your answer below

Q: 23 — 4а2 + 8ах + 1 f(x) = 2? — 2х + 2

A: answer is in next step

Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: 1. S(In x)² dx

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Q: dy Calculate Simplify your answer. HINT [See Examples 1 and 2.] dx 2х + 6 y = 5х — 1 dy %3D dx

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Q: HewB Let - ! Frnd flA) Ans/ P)-(L-cosat) 4 Shなs

A: In this question we use Laplace transform property to solve this given function.       Here i…

Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: ASSIGNEMNT #5 Determine if the function is continuous on the indicated close interval SVx +1 (5- x 0…

A: A function y=f(x) is said to be continuous at x=a iff, limx→a-f(x)=limx→a+f(x)

Q: In a study of children, a total of 1,560 children were examined. Of these, 1,018 had rickets. Of the…

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Q: 15 -8 -3

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Q: Find the magnitude and direction (in degrees) of the vector. (Assume 0° s e < 360°. Round the…

A: This is a problem of vector. Based on the general formula we will find out magnitude and direction.

Q: Y= 3xé

A: Given query is to find the derivative of the expression.

Q: What is a total weight of 7 basketball that weight 22 ounces each

A: Given each basketball weight is 22 ounces

Q: Find the total differential and total derivative. For the total derivative it is with respect m (or…

A: The objective of the question is determine the total differential and total derivative of the given…

Q: 4 – 5x5 Find the limit lim x – 7 Enter I for o, -I for -o, and DNE if the limit does not exist.…

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Q: Find the centroid of the region. NOTE: Enter the exact answers. (7, 9) (?, ?) %3D y = 23

A: The expression for the centroid is: x¯=1A∬xdydx &amp; y¯=1A∬ydydx   Where; Area=A=∬dydx   From the…

Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: Solve the differential equation. dy 9xy dx %3D for y + 0

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Q: Evaluate the first derivative of the following functions: g(x) : = cosx – sinx f (x) = 4x²cosx g(y)…

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Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

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Q: (sin 3x sin 2x dx 3.

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Q: Find the volume of the solid that results when the region enclosed by 7x 0, х — 8, and Y : 0 is…

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Q: Find the limit. 3x +3 lim 12x2 - 8 > Next Question

A: Given query is to find indicated limit.

Q: S(e +0°)de

A: On solving we will get:-

Q: Write the integral in terms of u and du. Then evaluate. (8x + 19)-2 dx, u = 8x + 19 (Use symbolic…

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Q: dx V4-9x2

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Q: b. g = f(t, v) = tv, t = In m v = m

A: We can solve this as follows:

Q: Evaluate the limit, if it exists. If not, enter "n" below. x2 - 4x - lim x→-1 r² 3x – 4 - -

A: We have to find limit

Q: 17. Evaluate the given integral, Í x ln x dx: A. x² Inx Inx -+c 2 x? Inx В. + - + c 2 4 x² Inx + 플…

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Q: 4cscθ

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Q: The rate of decay of radium is proportional to the amount present at any time. If 60 mg of radium…

A: Let's find.

Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: Find the volume of the solid that results when the region enclosed by 7x y = V1+ el4x' 0, x = 8, and…

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Q: Consider the parametric equations: x = 2t2, y =t³. Find at the point t = dx? 8 without eliminating…

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Q: nction f(x) whose second derivative is f''(x) = 7x + 3 sin(x) )) = 3 and f'(0) = 2.

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Q: 2. Use the identity of inverse hyperbolic function to solve cosh-(2 – a2) = ln 2, for |æ| < 1.

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