Use the binomial series to find the Maclaurin series for the function. 1 f(x) = (1 + x)4 f(x) = Σ n = 0 X

Q: Question 12 If A is the area of a variable square with side s, what is the rate of change of A with…

A: Solution ) area of variable square A = s2  Differentiate with respect to s  dA/ds = 2s [ formula…

Q: 1) 2) 3) cos ¹(2) j(1-j√3)(√8+j) (1+j)(1-j√3)²

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Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Find the directional derivative of the function f(x, y) = ln(x³ + y³) at the point (3, − 2) in the…

A: Topic = Vector

Q: Determine whether the series converges. O The series diverges. O The series converges. Σ k In(k + 4)

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Q: + + 1.3 3.5 5.7 + .. + ……. (2n-1)(2n+1)

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Q: What is the degree of the following homogeneous function? * f(x, y) = On On-1 On-2 On-3 = xn +…

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Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: To find whether given series converges or not and if yes then find sum.

Q: -1 If f(x) = e calculate ƒ '(2).

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Q: A plane Π2 intersects Π1: 4x − 2y + 7z − 3 = 0 at right angles. Two points lie on Π2: A (3, 2, 0)…

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Q: For numbers 14-16: Given: f(x) = |x-5| |x-5|dx 14. Find A. 3 B. 4 C.9/2 15. Find ₁ |x-5|dx A.15/4…

A: Above question is solved.

Q: Express the function in the form fogo h. (Use non-identity functions for f, g, and h.) H(x) =tan(√x)…

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Q: 1. For which values of a and b is the following system of equations inconsistent. x+2y3z = 4 3x - y…

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Q: 6. Assume that a 3 x 3 matrix A has three eigenvalues A₁, A2 and A3. If A₁ = A₂ = 2, A3 = 6 and the…

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Q: Given the matrices A ING B 3 4 the matrix X in the equation A (X + 3B) = C. 148.9 X = 9 and C= - [-3…

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Q: 15 4 3 2 1 1 1 2 3 4 5 To find the blue shaded area above, we would calculate: f(z)dz = area J₁b =…

A: This question is based on application of integration.

Q: 3 13 4 1 7 B 14 5 12 89 A student made the following statements about the set above. Statement 1…

A: Let's solve.

Q: Find the area between f(x)=x²-25 and the x-axis from. x = 0 to x = 6. ... The area is square units.…

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Q: Q.2 Find the derivative at each critical point and determine the local extreme value. (a) y=x√√4x² 1…

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Q: sin 4x Does it exist? '. 1. Calculate lim 2. Find lim x-2 x-2 x-2 3. Find the asymptotes of - and…

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Q: The interest on an account increases exponentially. If an initial investment of $1000 earns $120 in…

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Q: Write a triple integral, including limits of integration, that gives the volume between z+y+z=2 and…

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Q: Based on the graphs of f(x) and g(x), what must the domain of (f. g)(x) be? 10 8 7 6 5 2 g(x) 1…

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Q: Evaluate the integral. [ f(x) dx where f(x) = 4 2 5-x² if -4 ≤ x ≤ 0 if 0 < x≤ 2

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Q: Find the area between the curve f(x) = x³ - 130 and the x-axis from x = 1 to x = 4. …….. The area is…

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Q: A person x inches tall has a pulse rate of y beats per minute, as given approximately by -1/2 y=598x…

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Q: From a group of 18 student representatives, 5 will be chosen to work on a fundraising committee. How…

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Q: Find the maximum value of the function y = on the interval 1<x< 4. In x Approx. 2.79 Approx. 2.89…

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Q: Find te dx

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Q: Solve for y + In lyl at x=6: y'=(yx^2 - y)/(y+1); y(3) = -1 4.5

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Q: Write the first five terms of the sequence, give the exact answer: +∞ n n+1 n=1 Determine whether…

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Q: 5) By using the method of undetermined coefficients, if the term of (r(x) = 3x² cos 5x), the exact…

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Q: 4. Let f'(x) = 2ax³ + 3bx² - 6ax+b such that f(x) is concave up on the interval -1 <x< 1 and concava…

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Q: 02:- a. b. Let u=x²-2xy + 2y³ with x = s² lnt and y = 2st³. Find ou/Os and du/ît. find the total…

A: In this question, we want to find the partial derivatives and total derivatives of the given…

Q: iven the matrices A -6 Paren (3 3.8-1], 40-1], solve B = and C= for 5 V

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Q: Use a sign chart to solve the inequality. Express the solution in inequality notation and in…

A: By using a sign chart to solve the given inequality. To express the solution in inequality notation…

Q: A body weighing 64 Ib is dropped from a height of 100 ft with an initial velocity of 10 ft/sec.…

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Q: In a certain manufacturing process, when the level of production is r units, the cost of production,…

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Q: Find the equations of the tangent lines in both the x-direction & the y-direction to the function z…

A: We need to find equation of tangent line.

Q: The plane with normal vector (4, 6, 7) containing the point (-5,-1,5) has equation Ax+By+ Cz = D. If…

A: Use the general equation of plane having the point and have the given normal vector

Q: 7 Given the graph to the right, find 0 7 0 f(x)dx = f(x)dx Ау 10- 8- 6- 4- 2- 0 2 14 Foo 6 co. 8 X…

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Q: 05/ Giving the following data: X 0 1 2 4 5 f(x) 1 0 1 3 8 16 Evaluate the integral [f(x)]³dx by…

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Q: use the washer method to find the volume of the solid of revolution generated by rotating the region…

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Q: Determine the equation of the tangent to y 23.03x+y+13.03=0 23.03x-y-13.03=0 O-23.03x+y+13.03-0 None…

A: Solution ) y = 10x Differentiation with respect to x  dy/dx = (ln10) 10x [ Formula d/dx ax = ln a…

Q: -B -2 4 3 2 WH + 2 --3- -4 Y 2

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Q: Problem 7. Find each of below for the function x+5, f(x)=3, 23 1, 2< (a) f(1.9). (b) lim f(x). (c)…

A: Solve the following

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A: Given sequence an=n13n+6

Q: If f'(a)=, what is the slope of the line tangent to the graph of y = f(x) at the point (a, f(a))? O…

A: Given: the curve, y=fx.f'a=12

Q: Graph the function. f(x) = -x²+2 Plot five points on the graph of the function: one point with x =…

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Q: Find the partial derivatives of the following functions = f(x, y) = cos(x² - 2xy+3y²) b) fx = fy=

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