integral

Q: The body mass index (BMI) is a number that can be calculated for any individual by using the…

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Q: Solve for a. 8. 9a 16 a² =

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Q: 2 X • xý - (x+2) y = -2X²-2x Ans: y=C₂x²³ +2×

A: Given :xy'-x+2y=-2x2-2xy=∑m=0∞amxm=a0+a1x+a2x2+a3x3+...

Q: Calculate the Taylor polynomials T₂ and T3 centered at a = 2 for the function f(x) = x² – 3x. (Use…

A: nth Taylor Polynomial of f(x) at x=a :                Tn(x) = ∑i=0n fi(0)i!x-ai =…

Q: Find the vector parametrization r(t) of the line L that passes through the points (2, 2, 5) and (6,…

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Q: Consider the vector field F(x, y, z) = (yz, 9xz, —xy). Find the divergence and curl of F. div(F) = V…

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Q: constant, then find the value of M. Find all the roots of 2x³-8x² +16=0 when x = 2 is one of the…

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Q: +6 x² 2 - 4

A: To write the form of partial fraction decomposition for the given expression.

Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: When a temperature of a pot in a kiln is 1, 200°F, an artist turns off the heat and leaves the pot…

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Q: Evaluate the integral using the following values. 6 6 6 fox Lº Sº dx 4 4 x3 dx = 260, x dx = 6 [²…

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Q: The series O True O False Σ (-1)^+1 n=2 n3+1 is absolutely convergent.

A: The given series is summation of (-1)n+1/(n3+1), n from 2 to infinity.

Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

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Q: Find the average rate of change of the function from x=1 to x=4 of f(x)=-8/x^2

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Q: ind the Maclaurin series for the functions 1 f(x) = 1/(1-x)³, 2 (x + 1) In (x + 1)

A: As per the bartleby guidelines I am answering only first question. fx=11-x3 Formula for Maclurins…

Q: B) Find the limits (don't use L'Hopital's rule): sin(sin h) sin h 1) lim h-0 √√√1+x-1 x 2) lim- x-0

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Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: 342. f(x) = x² In9x

A: We can solve question no 342 in the below steps.

Q: X Ex (3) where does the function f (2)=-₂ x² + y Answer: where y = ax² Ex (4) where does the…

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Q: F] Draw a rough sketch of the following relations. (Show work) 1) f(x) = 3x - 2 f(x) = x² + 4 2) 3)…

A: As per our guideline we are allowed to answer only three subparts of a given problem. So kindly…

Q: Find dy if y=t² & t = √h and h = x² dx

A: Given data: y=t2 ,t=h and h=x2

Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 28…

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Q: The unit cost, in dollars, to produce tubs of ice cream is $19 and the fixed cost is $10670. The…

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Q: (1) In the given figure, ABCD is a square of side length 8 cm, BTRS is a square of side length 6cm…

A: Given data:- Part(1); Side length of square ABCD, a = 8 cm Side length of square BTRS, b = 6 cm Side…

Q: 2. Please, provide a real world example for each type of sequence arithmetic and geometric.

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Q: Consider the function f that is continuous on the interval [-3, 3] and for which the following is…

A: Given that , ∫03fxdx=8 and fx is continuous on the interval -3,3.

Q: Given that: lim lim I →→ 8 I→ 8 f(x) = 2, lim 2. f(x) = g(x) h(x) = I-8 g(x) = = - 3, and lim I-8…

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Q: {(1, 2), (2, 5), (3, 7), (1,3)} 9.

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Q: Find equations of the lines through the given point parallel to the given line and perpendicular to…

A: To find out the equation of line that passes through the given point and parllel and perpendicular…

Q: 져 - b ± √b² -uac a=1, b-21C25 = -2 + 234(1) (5) a = 2 = -2 - 1-16 2 를 2=-1±i 2) 대 2

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Q: For the equation, find the slope m and y-intercept (0, b) (when they exist) and draw the graph. (If…

A: Here we have

Q: The count in a bacteria culture was 200 after 20 minutes and 1900 after 40 minutes. Assuming the…

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Q: If f(x) = 47 +5√x + 13 and g(x) = 2x² + 5, compute the composition (fog)(3). (fog)(3) =

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Q: Consider the ellipsoid x² + 44²³ +2²2² = 18 Find an eg. the tangent plane to ellip sord at the point…

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Q: dz Consider the equation 5 sin (x + y) + 8 sin (x+z) + 2 sin (y + z)= 0. Find the values of and dx…

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Q: For each equation, solve for X, Y, and Z. 1. 2X + 4Z 1/2Y

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Q: If a parametric surface given by r₁ (u, v) = f(u, v)i + g(u, v)j + h(u, v)k and -2 ≤ u ≤ 2, -3 ≤ v ≤…

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Q: Your cell phone plan charges a base charge each month plus a charge per daytime minute of usage. In…

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Q: e x² + y² = z², bounded below by the xy-plane and bounded al integral to find the surface area of S…

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Q: Find T centered at x = 0 for all n for the function f(x) 1+x* (Use symbolic notation and fractions…

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Q: Consider the following graph. Step 2 of 2: Determine the domain and range of the graph. Express your…

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Q: For the function, find and simplify f(x) = 6x² f(x +h)-f(x) h f(x+h)-f(x) h (Assume h = 0.)

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Q: Evaluate the piecewise defined function at the indicated values. f(x) = 3 if x ≤ 5 5x −…

A: Given function  f(x)=3if x≤55x − 6if x>5To Find: function value at  f(−6)   = f(0)   =     f(5)…

Q: 1. Using the graph of f(x), what is lim, -1/(x)? A. - 00 B. 0 C.-2 D. Does not exist E.

A: As shown in figure, As x tends to -2 from left , f(x) tends to negative infinity . That is…

Q: Find a formula for the power series of ƒ(x) = 2 ln (1 + x), −1 < x < 1 in the form Σan. n=1 2 1 + x…

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Q: Suppose z = x2 + y5. Then dz/dt = dy dx 2 +5- dr dr 10 dy (3) dx dx 2²+5 2r dt dx 21 +1 dt dt € 1 dt

A: Given query is to find the derivative.

Q: A graphing calculator is recommended. For the function, consider the following. g(x) = 9*; find…

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Q: -5 -4 -3 -2 -1 O 3 2 1 7 -2 -3 -4 5 2 3 Write the domain of the function above using interval…

A: Domain is the set of  x-values for which function is defined.

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √3x +7…

A: Ans = 40.5709π square units  For detail...go through the solution...

Q: 46. The gravitational force exerted by the planet Earth on a unit mass at a distance r from the…

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