Convert the following base ten number to a numeral in the indicated base

Q: F: y=x² +2x+1

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Q: Explain why the Intermediate Value Theorem is not necess arily guaranteed fo f (x) = = CSC for x E (...

A: Topic = Functions   The intermediate value theorem states that if f is a continuous function whose d...

Q: Given the first-order differential equation as below: (x² +3y +5)dx + (6xy + 6y +3)dy = 0 (ii) Calcu...

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Q: Show that f(x,y) = 1-x* - y* has a relative maximum, even though D in the theorem is 0. The critical...

A: Given : f(x, y) = 1 - x⁴ - y⁴

Q: 30A ball is thrown straight up into the air off the top of a building so that is height in feet afte...

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Q: 7. Consider the region above the r-axis and below y = e-² with x > 1, shown below. 4 Consider a wiza...

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Q: een Sketch the sold and a typical disk or washer. Graph Graph Description Graph Graph Description Gr...

A: Given:- y=ex , y=0 , x=-2 and x=2  To find:- Figure of solid rotating region bounded by given curve ...

Q: Find the volume of the solid formed by rotating the region enclosed by y = e + 3, y = 0, x = 0, z = ...

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Q: 1 R(t) = 2 sin(t) – 4 cos(1)

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Q: The Laplace Transform of

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Q: 2 ,0, 33 2 53

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Q: t Complete the table of values to evaluate lim t0 sin t f(t) f(t) -1 1 -.5 0.5 -3 0.3 --1 0.01 -.001...

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Q: Given a function whose graph is shown below. 1 0.5 -5 -4 1 2 -0.5사 -1.5 Determine lim f(x). r--1

A: We have the find the limit of f(x) at x = -1 using the graph of f(x).

Q: Second-order non-homogeneous ordinary differential equation given a y" +3y' – 10y = e²* Calculate th...

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Q: For items 20-24, consider the following data set which shows the time recorded, in seconds, it took ...

A: 22) Mode of a data set is that value which occurs most frequently in the data set. Since the value 3...

Q: K石Xuts

A: ∫ Sin-1 x dx   ....(1) Using integration by parts ∫ f1(x)*f2(x) dx = f1(x)∫f2(x)dx-∫[d/dx(f1(x)*∫f2(...

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = t³i + 3t²j...

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Q: Vx+3 4. f(x) = f'(1) x-4

A: The given function is: f(x)=x+3x-4

Q: If f. g and h are functions defined on the set of real numbers defined by: F(x)= 3x+1, g(x) = 2x -1 ...

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Q: Find the x intercepts of the function f(x)=5|x-3|-3 (pleaes show steps)

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Q: Question For the function f(x) given below, evaluate lim f(x) and lim f(x). I-00 f(x) = -3x* Provide...

A: topic - limits

Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

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Q: 1) Consider the graph of the function f(x) = 5x -8x a) Find the slope of the secant by sketching a g...

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Q: Let f(x)=1/2 sqrt3x over the interval [0,3]. Find the surface area of the surface generated by revol...

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Q: Given the differential equation y" - 3y' = 4x e-3x The combined set of Differential Operators for th...

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Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=18x5+5x3; a=-9

Q: For the function, find the following. X + 1 2x (a) f"(x) 242 (b) f"(3) = 2/3 ||

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: xª + x³ + x² – x + 1 2 x(x² + 1)²

A: Here we have to find the partial fraction decomposition of the given fraction.

Q: х —1 if x<3 f: y=- 2х +1 if 3<х 5.

A: The given function y=x-1if x&lt;32x+1if 3≤x

Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts, ...

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Q: An ellipsoid S has the parametric equation S (0, Ø) = (cos0 sing, 2sino sinø, 4cos ø) where 0 and øa...

A: Given equation of ellipsoid S(θ,ϕ)=cosθ sinϕ , 2 sinθ sinϕ , 4 cosϕ

Q: п+3 а. Zn=1 2n-1.

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Q: Sketch the region enclosed by a + y = 6 and æ + y= 0. Decide whether to integrate with respect to a ...

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Q: Evaluate the integral. s'a In óx dx 219.01 190.21 187.01 O -61.21

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Q: x+1 x-x-2

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Q: ind the angle 0, in radians, in the given right triangle. The length of the side adjacent to 0 is 16...

A: Topic = Triangle

Q: Q1 (9 M)/ Use Gauss's theorem to evaluate ff. F.ds where F= 4xi - 2y'j +z°k and S is the surface bou...

A: We have to evaluate the integral ∬SF·ds where F=4xi-2y2j+z2k and S is the surface bounding the regio...

Q: Evaluate the definite integral. 3 2esin ( z ) cos(x)dx 3

A: Given that: ∫0π32esinx.cosxdx

Q: Vx+I dx. Vx +1

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Q: y = (x' - 2x2 +3) (7x² – 4x)

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Q: Q4 (a) By using properties of Laplace Transform, find (i) The Laplace Transform of f (t) = 2e-3! sin...

A: we use shifting property of laplace transform 

Q: | 2х cos(2x) dx

A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

Q: Examine the following functions for maxima-minima and trace the curve a. Y=x* + 1 a?x b. Y= a² –x²

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Q: Performance Task *Limits of Transcendental Functions Complete the table of values to evaluate lim t-...

A: Since you have asked multiple question As per our policy, we will solve the first question for you. ...

Q: aphed below. 5+ 4+ 3+ 2- -4 -3 -2 -1 -1- 1 2 3 4 -2+ -3+ -4 -5+

A: we want to find the equation of polynomial 

Q: dy The differential equation dx 3ay – 1= 0 can be classified as order 1, linear, and homogeneous ord...

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Q: lo) Use a tangent plane to approx. the value of the following tunction. at the point (2.1L- 14.D) f(...

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Q: Let f(x, y) = e^(y/x). Describe a typical level curve. Sketch two specific level curves.

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Q: Solve the differential equation y' = e³9 sin(4x) and choose the correct answer from the following op...

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