C. Evaluate the following: i(z³+1³) 1. lim 24-1 2²+1

Q: 16 + x² dx, x = 4 tan(0)

A: Bn

Q: 2 0 sin 2x dx 3-cos2x

A:

Q: Let f(x,y) = 8x - 2y + 5. Find the following values of f(x,y) for the given coordinates. (a) f(2,…

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Q: The value of a is Blank 1. The value of b is Blank 2. Let R be the region enclosed by the curves y =…

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Q: Find a tight upper bound for the approximation to * cos(z) cos(x) Note that the second derivative of…

A: Concept: Midpoint rule: Assume f(x) is a continuous function on [a,b]. Let n be a positive integer…

Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10)

A: We know, f'(x)=f(x+∆x)-f(∆x)∆x Let, x=-10 and ∆x=0.4

Q: 8. · √(x) √₁² 1 9. J 5x + 1 dx 10. S 3x +9 (x) √√x² - 1 dx dx

A:

Q: 10. Evaluate cos x sin² x dx

A:

Q: Calculate the double integral. JS y dA, 4xye+²y R R= [0, 1] × [0, 8]

A: Given; ∫∫R4xyex2ydA, R=0,1×0,8   As we know the common integral. ∫eax+bdx=1aeax+b+C  And ∬dA=∬dxdy…

Q: given m=6, n=1, and v=(-4,7), what is v(n-m)?

A:

Q: Find the values of xER for which the function given below is both defined and continuous. f(x) =…

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Q: 2 (2x² + y²) dx - xydy = 0 X2 O = C y² +4x²2 ○ In x + In (²4²) = C Oy - 1 = x - 3+ C .2 X O = C…

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Q: b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit…

A: Concept: The data given presents the value of y when x values are given That is when x=1 y=5means…

Q: Find the arclength of r(t)= on the interval from t equals zero tot equals 2 times pi.

A: Given:  r(t)=<5cot(t), 3 sin(t), 4 sin(t)>To find:  Arc length form t=0 to t=2π

Q: What is the value of f(1)?

A:

Q: Find dy dx 2. y tan-¹(csch x³)

A: Given y=tan-1 (csch  x3 )

Q: Let u= -10i+4j- 4k, v= 5i-2j+2k, w=2j-5k. Which vectors, if any are (a) perpendicular? (b) Parallel?

A:

Q: Given that f(-10) = -0.1 and f(-9.6) = 1.8, approximate f'(-10). f'(-10) ~ ≈ 94

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Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

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Q: y" - y' - y = cos(5t) - sin(5t); y(0) = 2 and y'=5

A: Given :y''-y'-y=cos5t-sin5ty(0)=2 and y'(0)=5

Q: .2 3. If o (x) = f Ví dt, then 0 (a) 2x2 (c) O do dx (6) SA (d) 1. is

A: ϕx=∫0x2tdt

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Compute the derivative of the function y using derivative rules. y = (13x4 +5 - 5)³ (Express numbers…

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Q: A population of animals starts at 484, 000 and grows continuously at 9.00% per year. Find the…

A: Given , Initial population P=484,000 rate r =9% time t=17 year

Q: The height (feet) of an object launched in the air t seconds after launch is given by s= - 16t²…

A: see below the answer with explanation

Q: 5. For items 1-2, identify the substitution equations and solve the solution for each. (x - 2y + 5)…

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Q: By the definition of derivative prove that f(x) = = √x² + 5 is differen- 4. tiable at x=2.

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Q: Find the Gamma function of [(1) using definition

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Q: se the formula to find the derivative of below functions. 5x²-7x+2 2³-9 (1) ƒ(x) = ( 31⁄4 + x) .· (2…

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Q: Find the tangent line approximation for √1 + x near x = 5. y = |

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Q: Find the nth Maclaurin polynomial for the function. f(x) = ex, n=5

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Q: A kite 100 ft above the ground moves horizontally at a speed of 5 ft/s. At what rate is the angle…

A: Let's solve given rate of change problem.

Q: A turkey is removed from the oven when its temperature reaches 185°F and is placed on a table in a…

A: Given problem:- A turkey is removed from the oven when its temperature reaches 185°F and is placed…

Q: Find the angle between the vectors. (Round your answer to the nearest degree.) a =j+ k, b = i +4j -…

A: Given a=j+k b=i+4j-2k

Q: f(x, y, z) = x cos(y - z), find: 02 f дудх 02 f дхдz 3. Given (a) (b) (c) (d) 82 f 0x2 8 f дхдудz

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Q: Find the derivative of the trigonometric function. y(x) = cos(sqrt(sin(cot(pi*x))))

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Q: 3e-20 + 2x 3.y" + 6y + 8y = 3e-2x

A: Here we have to solve the differential equation.

Q: All exponential functions can be written in many forms. Write the function f(t) = 6100e0.07t in the…

A:

Q: dy y (1-√y)² 2

A: Given :∫dyy1-y2

Q: 2:- A. Solve the following differential equations using variation of parameter Method: Mads) d²y 1.…

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Q: 2. A plane is defined by the equation 2x - 5y = 0. a. What is a normal vector to this plane? b.…

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A: Above question is solved.

Q: Exercise 15.5.1 Evaluate the triple integral * "** (rz sin 0)r dz dr de. =0 Hint 8 X

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Q: Find dy dx 5. = sec ¹(log 7x) y =

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Q: 5. 6. tan x dx \cos x (1/2-√√x) dx HIM

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Q: 1. 2²₂(3x-4)dx

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

Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

A:

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon…

A: Given problem:- Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours…

Q: a) dy dx xe ex²+ y(0)=1

A:

Q: 3. Emily is making a closed rectangular box with a square base from two different woods. The wood…

A: Use minimizing concept