Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the curve y = 1/vx, and the x axis. (you should graph this) %3D

Q: Suppose a tour guide has a bus that holds a maximum of 100 people. Assume his profit (in dollars)…

A: P(n) = n(50 - 0.5n) - 100 P(n) = 50n - 0.5n2 - 100 Domain : [ 0,100 ] Now, P'(n) = 50 - n  To Find…

Q: Select the answer option that corresponds with polar coordinates (2, ). 90° 2 135° 45 150° 30 15° 12…

A: We can find the answer as below by naming the coordinate.

Q: 3. Evaluate the following integrals: cos e OP (1+ sin 6) Vsin e G = H = sin (-9x) dr I +1 dr 1² In…

A: We have to find the integrals.

Q: x² +1, if x-1 odd f(x)= ,2_1. if x+1 even Find the value of f(1)+ f(2)+f(3). O a. None O b. 12 О с.…

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Q: What is the area of the region between the graphs of y = x – 1 and y : -X – 1

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Q: What’s the concepts of calculating the area of a region with subintervals of equal widths and…

A: The concept behind calculating the area of a region with subinterval of: a) Equal width- It is…

Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] %3D is: 4.5, 4…

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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: ;Find the average value TX of the function f (x) = 4sin Cos on 2 2 the interval [1,4].

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: x=r +1, y=r -t uation of the tangent to the curve at tl Show all your work.

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Q: 1.) Evaluate: S(2 + y²)²dy

A: We have to find integral

Q: The Shatzkins are adding a sunroom to their house. They want the sunroom to have area 14.00 m'. One…

A: Here, they want the sunroom to have the area 14 m2. And, one wall of the sunroom will be part of…

Q: %3D (2xy + y)dx + (x² + 2xy – y)dy = 0

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Q: Choose the point which shows the correct location for the polar coordinate (-2, – 3). 90° WIN 4 150°…

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Q: - Let R and S in the figure above be defined as follows: R is the region in the first and second…

A: Given y=3-x2 y=2x

Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: 4. Determine the general equation of the plane containing the points P(1, –4, –5), 3 Q(2,0, 13) and…

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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: dx V4-9x2

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Q: Write the complex number in standard form. 3-V-30 4 + 30i 3 + 30i 3 – V30i 7- 30i O 4- 30i

A: Simplify using basic concepts of complex number.

Q: C) = (" † ')- (,",) 'n + n _1. Show that :

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Q: Find the function f given that the slope of the tangent line to the graph of f at any point  (x,…

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Q: Consider the following. t = − 4?/3 (a) Find the reference number t for the value of t. t =    (b)…

A: We have to find the reference no t and terminal point determined by t.

Q: A poster is to have an area of 240 in2 with 1 inch margins at the bottom and sides and a 2 inch…

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Q: 2. Draw Venn diagram and shade the given a) AOB° b) (AUB)\B c) ((Cn4)\(B\A)°)nc

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Q: (³ +2w)® 6. Find dy/dx, given the following: y = /2x–4 3(3=° +2) (z"+2) O (E) None of the choices…

A: Formula ddxuv=vdudx-udvdxv2 ddx(xn)=nxn-1 ddx(x)=12x 6. Given y=(x3+2x)32x-4 Differentiating with…

Q: 13. Evaluate the given integral, ſ t (t² – 9)i: A. (1² – 9)* + e 3 . (t2 -9)호 + c В. 3 C. · (t² –…

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Q: Use four rectangles to approximate the area of the planar region under the graph of f(x) = 0.3x –…

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

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: 4 csc" xdx 2.

A: We have to find out integral

Q: 1.) Evaluate: S(2+ y²)²dy 2.) Evaluate: S 1+sinx xp-

A: To evaluate the indefinite integrals:

Q: I. Write 2 – 7i in polar coordinates on the complex plane. II. Find (1+ i)° using DeMoivre's…

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Q: Line L is perpendicular to the line 5x+2y-4=0. Find the slope of line L O a. 5/2 O b. -2/5 O c. 2/5…

A: We will use the concept If y=mx+c  is equation of line. Than m is slop of line.   If m1 and m2 are…

Q: y = (x-p)(x-r) and p+r=6. Find the x coordinate of the vertex of the parabola. O a. None O b. 6 O c.…

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Q: Write the quotient in standard form. 11 1-i

A: Topic = Complex number

Q: Find the solution. y'+=V5.y(1) = 0

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Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: Determine whether the series (-1)". converges or diverges. Vn3 +2 n=1

A: Apply Leibniz test for convergence

Q: Write the general solution to y = arccos (3) y = + ±2 k 3 y = + +2 7ck 4 Oy =++2 Ik

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Q: ax +3, if x<2 bx² +2, if x 22 f(x) =- It is given that f(1 and f(2) = 6. Find the value of f(a+b). O…

A: We will put all the values to find the values of a and b .

Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

A: The given integration,      ∫3x+3xdx

Q: Find the exact area of the surface obtained by rotating the curve x = 2t² +÷,y = 8/t,1<t<3, about…

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Q: Q2. Let a card be selected at random from an ordinary deck of 52 cards. Let A = [ the card is a…

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Q: The pencil holder is to have a base that has the same sides and a surface area of 100 cm. What…

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Q: Is the polynomial in standard form? [ Select] Classify the polynomial by degree [Select] * and…

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: 'ind the linear approximation of F(N) = AK N, about N = 1 %3D

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Q: Find the exact area of the surface obtained by rotating the curve x = 21² +=, y = &Vr,1s153, about…

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