1. U Substitution (a) These integrals may require one or more substitutions. i. [√x - x√xdx ii. S/² π/2_sin(t) cos(t) dt √sin² (t)+25 iii. So ¥414 dx (√x+1)4

Q: Comet Mario-2009 moves along an ellipse with equation 42² +16y²-640 (shown below) -10-04 47 Lo foot…

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Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: Given that the distance s (in feet) covered by a car t seconds after startingis given by the…

Q: 12 лухари у-х2-2х-я сил не 2x-9 and the tangent to the wave curve at the point whose X- coordinate…

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Q: Evaluate the indefinite integral S -10x² √1 1-x dx

A: To evaluate the integral

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A: The given differential equation is 5dydx+ex+y=0 We have to find the general solution of the…

Q: Use the method of Lagrange multipliers to find the maximum and minimum values of the function…

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Q: direction: find the indefinite integeal   x-3  / x^2 + 1

A: Given query is to find the integral.

Q: Find the (a) velocity, (b) acceleration, and (c) speed of a particle with the given position…

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Q: Problem 1. Determine whether each of the following statements is true or false. If it is true,…

A: (a) The first statement is integration by parts reverse the chain rule.

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: 19. |2xy cos (x²) − 2xy + 1] dx + [sin (x²) − x²] dy = 0. ANS. y[sin (x²) x²] = c - x.

A: 19. The given differential equation is 2xycosx2-2xy+1dx+sinx2-x2dy=0 We have to find the general…

Q: Consider the integral fa¹ In(a) Applying the integration by parts technique, let U = In(x) dv = x4…

A: This question is based on Integration by parts technique.

Q: (2xy-3x²) dx + (x² + 2y) dy = 0 2

A: Given differential equation:- 2xy-3x2dx+x2+2ydy=0

Q: Find an integrating factor for the D.E. (2xy³ – 2x ³y ³ − 4xy² + 2x) dx + ( 3x²y² + 4y) dy = 0

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Q: The graph below is the function f(x) -5 -4 -3 -2 5 4 3 2 7 a -2 m -4 5 may 2 3 4

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: The graph below is the function f(x) -5-4-3-2 Find lim z 2 19 NA Find f(2) Z -2 -3 4 f(x) Find lim…

A: Here we have to use the graph to find the limit of the function.

Q: 9. Eric wants to make a cylindrical water tank from sheet-metal. It must have a top and bottom. The…

A: Volume of the cylinder , V =πr2h ; where , 'h' is the height and 'r' is the radius of the circle.…

Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

Q: (x⁹ + x4)dx (x5 - 5)10

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Q: Consider the following. dt ho √ 16+ ² Let t = 4 tan(8) and determine the following. dt t-0-8= t=4-8=…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

A: Explanation of the answer is as follows

Q: Find the decomposition a = a + a₁ with respect to b if a = (3,4,2), b = (3, 4, 6). ab = (a||x, a|ly,…

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Q: x Carry out the following calculations following the rules for significant figures. a) 380.47…

A: see below the answer and calculation

Q: Derive the following functions 2-3x 5 50. y=- 6 3+x 52. y=: 54. y=- Sx²

A: 50. y=2-3x5

Q: 0 = 0 zu - dx² ᎾzᏢ

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Q: Find the area of the region enclosed by the curves y=x²-7 and y = 9. The area of the region enclosed…

A: This question can be solved using the concept of area between two curves.

Q: Graph the function. Then answer the a) What are the domain and range of f? b) At what points c, if…

A: Understanding of graphs of any function is required to solve this question. Domain of a function is…

Q: he graphs of y = f(x) (solid) and y = g(x) (dashed) are shown. The two graphs intersect at ( Region…

A: Topic:- application of integration

Q: plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of 35,000…

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Q: D Question 5 Find dy/dx, given the following: y = | L y P (x²+2x)² 3 (3x²+2) (2³+2x)² + = V (2x-4) 2…

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Q: The hyperbolic tangent and secant are defined as sinh tanha cosh a 1 cosh a sech a Find the…

A:

Q: Find the x intercept F(x)=In(x-4)

A: F(x)=In(x-4)

Q: The cost function of producing x items is C(x) = 4x² - 12x + 500. a) Find the marginal cost function…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: V -5 -4 -3 57. 4 3 2 01 -2 -1 -1 -2 -4 -5 1/2 3 4 5 MathBits.com X

A: Given data÷ Find the range of the function shown in the figure÷   Definition÷ Range ÷  It is the…

Q: 2 Find the exact area of the region bounded by the curves y = 4x² - 8x+12 and y=3x²-3x+12. Answer in…

A: The region is bounded by the curves y=4x2-8x+12 and y=3x2-3x+12 We have to area of the region…

Q: Find the derivative of the following functions Whenever possible, express answer in factored form.…

A: Here we have to use the concept of derivatives

Q: D; E; Factor the expression. 3x²+11x-20 Rationalize the expression and simplify. √14 √5-2

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Q: If h(x) = f(x)g(x), we know h' = f'g+fg. Take another derivative and show that h" = f"g+2f'g' + fg".…

A: Here is the solution

Q: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: e selling price of a refrigerator, is $678.70. If the markup is 10% of the dealer's cost, what is…

A: Given query is to find the dealer's cost.

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

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Q: Prove lim(2x+3) =.

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Q: A free-falling object falls from rest and has a weight of 89 N. The force due to air resistance (in…

A: Option A is correct the detailed explanation is given below

Q: Calculate the first, second, and third derivatives of y(x) = √√x. (Use symbolic notation and…

A: Given query is to find the derivatives of the function.

Q: Find the standard form of the equation of a PARABOLA opening to the right such that the endpoints of…

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Q: (x+ d

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Q: Let u = and v = Select all of the vectors that are linear combinations of {u, v}. (Check every…

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Q: Find the equation of the line tangent to the graph of f(x) = (In x)5 at x= 11.

A: Topic = Functions