dx x2 – 1

Q: Simplify the following expression. 414

A: Explanation of the answer is as follows

Q: 4) 5) 6) 40-३5-30-25-30 gola slope = slope = slope = %3D y-intercept y-intercept y-intercept = %3D %...

A: solution:-(4) y-intercept=-3    points on the line arex1, y1=(0,-3) and x2, y2=(-15, 0)    slope=y2-...

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: Graph of the region is given, we have to find its area.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Determine the area of the region bounded by the curves y= e" and y = sin (x) on the interval |0, . A...

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Q: Fill in the blanks Direction: Read all the statement first before answering. Write your answer on th...

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Q: Find an equation of the plane passing through the three points given P = (1,9,4), Q = (2, 13, 12), R...

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Q: 4. Determine the solution to the integral p= -dx by using the following two methods: 4.1 Partial fra...

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Q: Problem 3. Consider the function f(x, y) = In(x² + y²). a) Find the directional derivative of the fu...

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Q: Let P be the plane 2r + u – 7 = 2 and let 0(1.0.3) be a poir

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Q: Let a, b, and C be a constant, verify the following indefinite integral. IVa+bx dx 2 (3bx – 2a)(a + ...

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Q: Use the graph of f shown here to find the limit. If necessary, state that the limit does not exist. ...

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Q: 6 (In n) Use the following to determine if the series > converges or diverges. 7 n =2 00 ( In n)9 co...

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Q: The table and graph below show the relationship between the number of months, x, and the total amoun...

A: Topic:- geometry

Q: Which of the following is a parametrization of the line through P = (3, 10, 8) perpendicular to the ...

A: Use Parametrization to solve

Q: Let P be the plane 2x + y – z = 2 and let Q(1,0,3) be a point. We want to find the minimum distance ...

A: Explained below 

Q: The AMD investment company has advertised a new Mutual Fund  that has advertised to pay 10 % compoun...

A: new Mutual Fund that has advertised to pay 10 % compounded continuously. Bob invested $ 8,500 in the...

Q: 52. Evaluate || F.n ds, where F = 2xy i + yz? j + xz k and S is: (a) the surface of the parallelepip...

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Q: 49. Verify Green's theorem in the plane for $ (2x -y)dx – xy dy, where C is the boundary of the regi...

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Q: A quail flies from a shrub to a branch in a tall tree. While the quail is traveling, a hawk above di...

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Q: (a) By definition, for a function g to be continuous at x = a, lim g(x) = 8 Note that f is not 64 (b...

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Q: One liter ( 1000 cm³) of oil is spilled onto a smooth lake. If the oil spreads out uniformly until i...

A: Solution: The volume of the oil slick =1000 cm3 The height of the oil slick is equal to the diameter...

Q: Use the graph to answer these questions. Ay 10- a. Find lim f(x) and lim f(x). X3+ x3 b. Find lim f(...

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Q: Find the quadratic function using the given roots 1. (-3 2 ,0) and (1,0) 2. (2 3 ,0) and (-3,0)

A: We can find the quadratic functions as below.

Q: Find the volume of the solid that results when the region enclosed by the curves x = 1- y? and x =1+...

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Q: 8. What is the measure of the reference angle for an angle of -310° in standard position? A. 310° В....

A: topic - angles in coordinate system

Q: Write an equation that represents the area of the cross section obtained when a horizontal plane cut...

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Q: Find the convolutizn betwen hCk) = [ and X(<) - [ -17 2. %3D

A: The given question can be solved as shown below.

Q: Convert the numeral to a numeral in base 12. 4844 4844 = 12

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Q: 11 For the triangle given above, find the following. Give exact answers only (i.e. do NOT give a dec...

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Q: An oscillating spring has a frequency of 1.16 Hz (here is some information about the frequency unit ...

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Q: OFind the simplified form of the difference quotient for the function f(x) = - ) Complete the follow...

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Q: A child comes to your pharmacy for a prescription of Biaxin for 10 days. The child weighs 11kg. The ...

A: Solution ) f)1 day dose = 7.5 ×2                           = 15 m.g / k.g  And for 11 kg child 1 day...

Q: Consider the piece wise function x + 2 0 25 (а) lim x → 25- f(x) = (b) Determine the value of c so ...

A: We will find the limits and the unknown value. 

Q: Decide from the graph whether a limit exists. If a limit exists, find its value. Ay lim F(x) X-1 Wha...

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Q: Determine the a) roots, b) ve Illustrate its graph. 1. f(x) = x² – 8x + 15

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

Q: 2016, a grassfire damaged 350 hectares of forests and grasslands at Mt. Apo. As seen in the headline...

A:

Q: f (x, y) = x² In(1+x² + y²)

A: We have to find the gradient of the following function                                              ...

Q: y': 2хy y' = y2 –x²

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Q: A function f(x) is said to have a jump discontinuity at х — аif: 1. lim f(x) exists. x → a 2. lim f(...

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Q: Problem 2. Use a double integral to find the area of the plane region enclosed by y? = -x and 3y – r...

A: Given

Q: Compute a x b, where a = i – 2j + 5k, b = 2i +j+ 3k. (Write your solution using the standard basis v...

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Q: A 50 N force is applied at the end of a 20 cm wrench and makes an angle of 30° with the handle of th...

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Q: Find an equation of the plane containing the points (0, 1, 0), (2, 1, 1) and (-1,3,0). O A. The thre...

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Q: Find the exact value of sin -) given csc(x) = 8, for 90° < x< 180°. 3/7 + 16 1 37 А. + С. 2. 2 1 37 ...

A: Given; Csc(x)=8 90°&lt;x&lt;180° Repost the next image question.

Q: 3. Mark's present age is 2/3 that Angela. In eight years, mark's age will be 4/5 that of Angela. How...

A:

Q: 1. 1. 1 + 1. Given 3.5 +... find 5.7 7.9 ii. The summation of the first nth terms by using different...

A: Given: 13.5+15.7+17.9+... To Find: The summation of the first n terms by using differential method

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: Convert 1414 to a numeral in base 7. 1414 =

A: We have to convert 1414 to a numerical in base 7.

Q: a) (0, –1) Give your answer in the form (*,*). Express numbers in exact form. Use symbolic notation ...

A: