F cos 2x dx sin x

Q: Differentiate the function with respect to the independent variable. 9 h(t) = -t²- +4 h' (t) =

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Q: The diversity of a population that contains two species can be measured by the Gini-Simpson…

A: The diversity is given by H(p)  H(p) = 2p(1-p)   H'(p) = d/dp(2p(1-p)) H'(p) = 2(1-p) -2p H'(p) =…

Q: A 200-g sample of a radioctive substance is placed in a chamber to be tested. After 3 h, 140 g of…

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Q: Solve the equation |2x - 3| = 0 Rewrite |2x - 3| using the definition of absolute v

A: Topic:- algebra

Q: Solve the following D.E dy sin x- dx +2y = tan 2

A: Concept: First-order linear differentiation equation: The linear polynomial equation, which includes…

Q: (2x-1) dx 1 2x²³²-x²-27x +36

A: …

Q: 3d8 √93

A: Here we have to solve only part d

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: For the function f whose graph is shown, state the following. (If the limit is infinite, enter '' or…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: f(x)=0.2+25x-200x² +675x³-900x¹ +400x³ a=0 ve b=0.8 a.) find the integral by using Simpson 3/8 Rule…

A: Concept: Simpson's rule: One of the numerical approaches for evaluating the definite integral is…

Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

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Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: see below the answer

Q: Evaluate the following sums: a.--22√k+2 b.Σ o(x + 2i)2 3

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Q: A rectangle is enclosed by the coordinate axes and the line 2y + x - 5 = 0 Determine the length and…

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Q: A giant spherical-shaped snowball is melting. If the radius decreases at the rate of 0.5 in/min, now…

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Q: Find the regions where sinx sx.1

A: Topic:- trigonometry

Q: ƒ(x) = x0.03 1 f(x) = X0.35

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Q: Differentiate g(N) = rN g'(N)= with respect to N. Assume that K and r are positive constants.

A: We need to find g'(N).

Q: analyze and sketch the curve y=x² / (x-1)

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Q: 3) (11x + 17) dx 2x² + 7x - 4 S

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Q: 4. xy²1₁ X=1, x = 4, y = 0; about the x-axis

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Q: 15. Solve for x: 37x+1=6561. A. 1 B. 2 C. 3 D. 4 16. If 3a = 7b, then 3a²/7b² = A. 1 B. 3/7 C. 7/3…

A: 15. The value of x such that 37x+1 = 6561 16. The value of 3a27b2 such that 3a = 7b

Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in…

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Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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Q: y= x² +9

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Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: Let R be the region enclosed by the curves y = x³ and y = 2x². The area of R using vertical element…

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Q: Solve the following equations for a a. az+b cx+d = A b. √₁+x+√₁+z=0 ar c. a²x² - 6² = 0

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Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: Find the partial derivatives of the following function: z = f(x, y) = e¹²¹² fx= fxx = fxy = fy= fy=…

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Q: Deriving the formula for volume generated by revolving the first- 8x and the line x = 2 about =…

A: Given problem:- Deriving the formula for volume generated by revolving the first quadrant area…

Q: x 5√x ³ + 4 dx 3 Lx5

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Q: S 3x+1 -dx x²-x-6 2

A: We know, ∫ dx/x = ln|x|

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

A: To find out the levels of x and y which will maximizes the utility.

Q: 1. (x+y)dy +(x-y)dx=0

A: Given: (x+y)dy+(x−y)dx=0 ⇒dydx = -x+yx+y   ...(1) To prove: Given differential equation is…

Q: Use the Laplace transform to solve the given initial-value problem. y'' + 2y' + y = 0,  y(0) = 1,…

A: A detailed solution is given below.

Q: 21

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Q: What is the estimate of the integral a. 0.14476 b. 0.10333 c. 0.11234 d. 0.10615 OC OB OA OD 1 2 dx…

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Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: dx f(x2²x+10) ² २

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Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​…

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Q: 2/2 2 sin³(x) dx

A: Here is the solution of the given problem.  To solve the problem we use the following formula:…

Q: Find  f(t). ℒ−1{1/(s - 7)3}

A: The inverse laplace tranform L-11s-73

Q: Evaluate the indefinite integral. [sec sec (0) tan (0) de (Express numbers in exact form. Use…

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Q: Find the tangent line, in slope-intercept form, of y=f(x) at the specified point. f(x) = - 5 3 2 -1+…

A: Given function, f(x)=5x-3x+2x2f(x)=5x-3x-12+2x-2

Q: f(x) = 4x5 (12x² + 15x + 3)

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Q: 1 dx 49 1 42 49 arcsin 7x) - 49 sin 2 arcsin 7x+C (2x) 2 (1 x)) X

A: Given, ∫ x249-x2dx

Q: lim h→0 f(1+h)-f(1) B)-f(1) h 5/14 Correct where f(x) = 9x² + x - 4

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