Question 27 Determine the area bounded by f(x)=x²-x and x-axis. A —-unit² А B unit² Ⓒunit² D unit²

Q: y = tan e³x + etan3x

A: (tan x)' = sec2(x) (eax)' = a eax.

Q: Why is it "h • db/t + b • dh/dt"  instead of   "h • dh/dt  + b • db/dt"?

A: Using Rule of differentiation.

Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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Q: Determine the area bounded by the functions f(x) = (x+1)³ and g(x)=x+1, 3 (A) Žunit² 1 -unit² -unit²…

A: We need to find area.

Q: Assume that the situation can be expressed as a linear cost function. Find the cost function. Fixed…

A: fix cost $200 20 item cost $400 here per item cost = 400/20 = $20 cost function  C(x) = 200 + 20x…

Q: X-2 dx Evaluate the integral: Sein(x²+3x-7) A x²+5x+In|3x-6|+C B ++ In|3x-6|+C 2 5 © +²2+5x+In/x-21…

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Q: Q1/ From the following table of values, find the approximate value of f'(1.5) ? X 1.0 1.5 2.0 2.5…

A: Use the formula of derivatives and put all the values and calculate.

Q: A lighthouse is on an island 350 meters east of the shore of Lake Bella. The lighthouse beam makes a…

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Q: Convert each equation from rectangular to polar form. 5) (x-1)² + (y + 1)² = 2 6) x = y²

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

Q: y= 3 Arcsec 3x

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Q: 2) x² + y² - 16x + 18y +96= 0

A: Here we havw to convert standard form,  2) x2+y2-16x+18y+96=0

Q: Question 19 : The area of a healing wound is given by A=πr2. The radius is decreasing at the rate of…

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Q: At noon, ship A is 30 nautical miles due west of ship B. Ship A is sailing west at 25 knots and ship…

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Q: Question 1 Solve the integral: Seln(2x²+3x-4)³ (4x+3)dx A eln(2x²+3x-4) (4x+3) 3(2x²+3x-4)…

A: To evaluate the given indefinite integral.

Q: хра (q

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Q: 21) Write a function that has an infinite discontinuity at x = 100. 22) Write a function that is…

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Q: 1 m ( x² + 3102=²7) dx x²+3x-7 X-2 Evaluate the integral: Se A +2²2 + — + In|3x-6√ + C Ⓡ X/²2 ₁ B…

A: A detailed solution is given below.

Q: Which of the following represents the graph of The line with y-intecept 7 and slope 100 The line…

A: Solution: Given: y=100x-7 Compare with y= mx+c where m is slope and c is the y- intercept  m=100 and…

Q: 5 Let f(x) = 5x + 3x²³² + 1 and g(x) = 3x²+2x+1 in 27 [X]. Determine the quotient and remainder upon…

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Q: Consider the differential equation y" = e² + zy' where y is considered to be a function of a. In…

A: We have to find if given y is solution to the differential equation or not.

Q: 0 2 4 1 3 9 17 31 ? Question Plot the data from the table on the graph, where x represents the…

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Q: Find the following improper integrals a) dr b) fodr

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Q: y = x¹, y = 2 = |x|

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Q: Evaluate the iterated integral. r4y *x + y [IT*** 6xy dz dx dy

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Q: Question 16 : An inverted pyramid is being filled with water at a constant rate of 25 cubic…

A: This is a problem related to derivative of the volume of the square base pyramid. Please follow the…

Q: To evaluate the integral [ sin³@cos³0d0 by trigonometric transformation, we use the identity; 1 +…

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Q: 12-f(t)= -31 e-³¹ sin 2t t

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Q: Question 15 : The altitude of a triangle is increasing at a rate of 2.5 centimeters/minute while the…

A: To solve the following problem

Q: Verify that 5 18 11 2²4 ахду 22+ дуох - for f(x, y) = 2x³y6 - 4x5y4.

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Q: A drug is injected into the body in such a way that the concentration, C, in the blood at time t…

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Q: Solve for x using Newton-Raphson Method: ex-x=0. Use xo= 0 as initial guess.

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Q: Please show work in terms of d(variable)/dt, thank you! Water stored in an inverted right circular…

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: Please see the below picture for detailed solution.

Q: Find the area bounded by : f(x)=e*, g(x)=e¯* and x = 3. A (e²+ 1)² e² sq. units B (e³-1)² e3 (e²-1)²…

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Q: Question Find the average value of f(x) = -3 cot (x) csc (x) + 1 over the interval [3 Submit an…

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Q: Find the area bounded by : f (x)=e*, g(x)=e* and x = 3. A (e³-1)² e3 sq. units B (e²+ 1)² e² (e²-1)²…

A: To find the area bounded by curves

Q: Solve the following deferential equations b) -2√x √x

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Q: B-Find the center of mass of the region bounded above by the half circle y = √ Na²-x² and below by…

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Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: C option is false.

Q: 2. Find an equation for the plane that passes through the points P = (2,-1,3), Q = (0,0,5) and…

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Q: determine all inflection points of x^4 + x^2

A: Let,  f(x)=x4+x2 Now, f'(x)=4x3+2xf''(x)=12x2+2

Q: What is the equation of a circle having (10,2) and (6,-4) as endpoints of its diameter? x² + y² 16x…

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Q: Question Evaluate the indefinite integral given below. Provide your answer below: f(sin³(x)-3…

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Q: 1 H 0 1 2 3 4 5 6 What are the domain and range of its inverse? O Domain: {y|1 ≤ y ≤5, ye R} and…

A: The domain of a function f(x) is the set of all possible values of x for which f is defined. The…

Q: Find the area bounded by : f(x)=e*, g(x)=e* and x = 3. (A) (e³-1)² e3 sq. units B (e³+ 1)2 e3 (C)…

A: To find the area bounded by curves

Q: ,3 Which of the following can be determined given f(x) dx = 5, g(x) dx = 7, and ,3 [³h(x) d h(x) dx…

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Q: 10. y (e-3x+4 +2)/(e2+3x +1)

A: The given function is ; y=(e-3x+4+2)/(e2+3x+1).

Q: Let f(x)=6x²-5 to find the following value. f(t+1) f(t+1) = 0

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Q: (b)show that: I(cosh at cos at) = s*+4a"

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Q: Please answer

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