Find an equation of the plane through the three points given: P = (0,0, 5), Q = (-4, 2,2), R = (-1, –4, 3) = 90

Q: Using Table 15.2, if the air temperature is 41°F, and the relative humidity is 20%, the weight of…

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Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: Let a (-2, –1,9) and b = (-8, 4, 3) be vectors. (A) Find the scalar projection of » onto a. Scalar…

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Q: A. Evaluate the following integrals. dx 1. 5+x2

A: The objective is to evaluate the integral.

Q: Find the volume of the solid that results when the region enclosed by 7x 0, х — 8, and Y : 0 is…

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Q: Compute the following limit. If the limit goes to ∞ or -o enter INFINITY or -INFINITY, respectively.…

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Q: Determine the location and value of the absolute extreme values of f on the given interval, if they…

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Q: The vertices of quadrilateral ABCD are given as A(0, 3, 5). B(3, – 1, 17), C(7, –3, 15), and D(4, 1,…

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Q: 4x x - 3x – 18 logarithms. Express powers as factors. 20. Write log2 asthe sum and/or difference of

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Q: Use any method to evaluate the integral. S 300 dw w?/100 - w? ... S- 300 dw w/100 – w? (Type an…

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Q: 4 x ) dx. 4 tan x

A: topic - definite integral using integration properties

Q: (1 point) Find a vector orthogonal to both (-5, –2, 0) and to (0, -2, 5) of the form (1,

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Q: dx V5+4x-x² 5.

A: Explanation of the answer is as follows

Q: 16. Evaluate the given integral, ," x sin x² dx coS 16 coS 4 A. 2 2 cos 16 cOS 4 В. + 2 cos 16 coS 4…

A: We have to find the solution

Q: Cases and Complements 1. A group of four animals will be selected for adoption from a group of 10…

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Q: 6. Find the volume of the solid generated when the area of the region between the curves y = Vsinx,…

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Q: Find Vf at the given point. f(x,y,z) = ex+Y sin z+ (y + 1) cos "x, Vf i+ 0,0, (Type an exact answer,…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is…

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Q: Calculate v X w: v = (0, 6, 6), = (8, 7, 3) W

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTIONS AND ITS TRANSFORMATIONS Evaluate the given integrals. Please…

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Q: The vertical asymptote of the curve 9x3 х — 10 - is given by æ = ||

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Q: The total cost function for a product is C(x) = 750 ln(x + 10) + 1800 where x is the number of…

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Q: Select all of the statements that accurately complete the sentence about the continuity of the…

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Q: Let a = (7, 10, 1) and b = (10, 3, 6) be vectors. Compute the cross product %3D ахЬ.

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

A: Find the area under the curve f (t) = 3 − x2 + 5x from x = −2 to x = 4 .

Q: and fyx are equal. fxY ух Find the second-order partial derivatives of the function. Show that the…

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Q: 3 Goal: A cetailed graph of flx) = x AICX) = fir(x)= 6x (x+1)4 fex) =x a tind ficx) (6) Find he x…

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Q: 3. Determine the inverse Laplace transforms. (-2s + 5) -5s – 20 (b) f(t) = L ' 1(s² + 4) (s + 1) ]…

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Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Given that one model for the spread of a rumor is that the rate of spread is proportional to the…

Q: Determine whether the sequence is increasing, decreasing, or not monotonic. Is the sequence bounded?…

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Q: Find the intervals on which the function is increasing or decreasing. f(x) = 2x° - 3x2 - 72x + 4…

A: We need to determine increasing and decreasing interval.

Q: Approximate the area under the graph of f(x) 1 over the interval (0, 4] using five rectangles. x +1…

A: Let's find.

Q: 4 Consider the function f(x) = ex Where are the discontinuities located? - e-x (If there are…

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Q: 1. f(x) = x

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: x = r° +1, y=r² -t a) Find dy/dx Show all your work.

A: x =f(t)dxdt=f'(t)   y=g(t)dydt=g'(t)Then,dydx=dydtdxdt =g'(t)f'(t)

Q: The raius of a circle is randomy chosen fro the interval (0,10). Determine the probability that the…

A: Let, the radius be r, which belongs to the interval (0, 10)  So, 0 < r < 10  The area is, A =…

Q: What is the integral of x" cos ax dx ? хN sin ax А. -=S nx"-1 sin ax dx + а а хN sin ax B. n -"Sxn-1…

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Q: 4 Find lim cos C→十0 Enter I for o, -I for –∞, and DNE if the limit does not exist. Answer:

A: Topic = Limits

Q: A triangle is defined by the three points: A = (8,7) В 3 (5, 2) C = (7,9). Determine all three…

A: Given problem:- A triangle is defined by the three points: A = (8, 7) B = (5, 2) C = (7, 9) .…

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: x and y -2x Find the area of the region enclosed by y

A: Solution is given below:

Q: sin 2n Determine whether the sequence defined by a, %3D 9n converges or diverges. If it converges,…

A: We have to find limit

Q: Relation 1 Relation 2 Domain Range Domain Range 1 sky --2 pencil door 9. -5 sun 8. O Function O Not…

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Q: (tan'x de 3 1. [cse* xdx 4 2. csc"xdx 3. |tan 3x sec 3xdx

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Q: In x dx

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Q: Find the absolute maximum and minimum values of each function, if they exist, over the indicated…

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Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: 3. S: (х2+2)2 dx

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