Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.                                                                   If aN = 0 for a moving object, then the object is moving in a straight line.

Q: tan θ = 0.4169.Use a calculator to find the value of the acute angle θ in radians, rounded to three ...

A: It is given that tanθ=0.4169.

Q: For what values of m do the line y=mx and the curve y =x/(x2+1)enclose a region? Find the area of th...

A: The given  line is y=mx    ...1. The given  line is y=xx2+1    ...2.

Q: Determine whether the following series converge. Justify your answers.

A: The given series is ∑k=0∞ tan-1kπk. Compare the above series with its standard form ∑k=0∞ak and obta...

Q: Differentiate implicitly to find the first partial derivatives of w                          cos xy ...

A: Given equation is cosxy+sinyz+wz=20.

Q: Graph: 4x2 - 24x - 9y2 - 90y - 153 = 0. Where are the foci located? What are the equations of the as...

A: Given equations is 4x2-24x-9y2-90y-153=0. Given equation can be written as: 4x2-24x-9y2-90y-153=02x2...

Q: Quiq plz

A: Given: y=asin6x-bcos6x for finding differential equation for given equation, we have to eliminate a ...

Q: Assuming that the innermost circle on this Navajo sand painting is a unit circle, as A moves around ...

A: Here the point A makes an angle θ with positive x-axis. x,y=OAcosθ,OAsinθ Here O is the center or or...

Q: Q:57)

A: Given: y''-8y'+25y=0

Q: Solve it fast plz

A: The given expression is limx→3x3-27x-3.

Q: The position of the particle at time t is given by s(t) = t2 – 6t + 8. The particle is moving from r...

A: Given that: Position of the particle, s(t) = t2 - 6t +8t To Calculate:   time required to move from ...

Q: In an AP if d = -4 , n = 7  , an =4 then find a

A:

Q: Solve the initial value problem: f^ prime (x)=x^ 18 -4x^ 2 +12x+13 and f(0) = 5

A: Solve the initial value problem: f^ prime (x)=x^ 18 -4x^ 2 +12x+13 and f(0) = 5

Q: for the function f(x)=4x3-24x2, determine 1) intervals where f is increasing and decreasing? 2) inte...

A: Solution: The given function is f(x)=4x3-24x2

Q: evaluate the limit assuming that lim f(x) = 3 and lim g(x) = 1.                                     ...

A: we have to evaluate the limit limx→-4fxgx by assuming that limx→-4f(x)=3 and limx→-4g(x)=1   as we k...

Q: Explain how the Second Derivative Test is used.

A: The second derivative may be used to determine local extrema of a function under certain conditions....

Q: While evaluating approximate value of 7 | x² dx, using Trapezoidal rule, taking 4. n = 10, the value...

A: The given integral is ∫47x2 dx. Compare the above integral with its standard form ∫abfx dx and obtai...

Q: PROBLEM [ B5] : Find the value of e dx, by Simpson's rd rule, using 6 subintervals, correct to four ...

A: The Simpsons 13 rule is given by ∫abf(x)dx=h3fx0+4fx1+2fx2+4fx3+4fxn-1+fxn where h=b-an substitute t...

Q: ‏Solve it quickly please

A:

Q: Solve it fast plz

A: Given that y=3x at x=4 and x=6  find out area bounded by the curve

Q: Solve the initial value problem: f'(x)=x^15 -7x^3 +12x^2+14 and f(0) = 7

A:

Q: A modernistic painting consists of triangles, rectangles, and pentagons, all drawn so as to not over...

A: How many triangles, rectangles, and pentagons appear in the painting if the painting contains a tota...

Q: For the function f(x) = 7r- 42x2, determine Intervals where f is increasing and decreasing. Interval...

A:

Q: Different substitutions dr a. Show that sin(2r – 1) + C using either Vx - x u = 2x – 1 or u = x dx b...

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...

Q: Make an educated guess to find a formula for at least one solution Yp of the nonhomogeneous or highe...

A: The given differential equation is y'+y=e-t. From the above differential equation, it is easy to gue...

Q: Quiq plz

A:

Q: Differentiate. F(x) = (8x+ 5)2 %3D F'(X)= ]

A: by the formula for derivative of square of a function we can solve the problem 

Q: Q5 Use Green's theorem to evaluate the line integral (cos.x+2y)dx+(x – sin y)dy C where C is the pat...

A:

Q: 8 T The improper integral 8 e dx 8. O diverges to 0 O converges to 0 O converges to e 8. O converges...

A: Given integral is: I=∫-∞18e-8xdx Integrating it: I=∫-∞18e-8xdxI=8e-8x-8-∞1

Q: The positions of two particles on the s-axis ares1 = cos t and s2 = cos (t + π>4). When do the pa...

A: We want to find t for which the particles collide, that is,  t for which s1t=s2t: Therefore, s1t=s2t...

Q: find equations for the(a) tangent plane and(b) normal line at the point P0 on the given surface. 2z ...

A:

Q: Find the six sixth roots of 64.

A: z=64 It can be written as, z=64cos0°+isin0° Now raising power 16 on both sides, we get z16=64cos0°+i...

Q: Find the indefinite integral ∫(4t3i + 6tj − 4√tk) dt

A: We have to find indefinite integral: ∫4t3i+6tj-4tkdt We know the formula of integration, ∫xn dx=xn+1...

Q: Write as a single logarithm: 1/4 logb x - 2 logb 5 - 10 logb y.

A: We have to write as a single logarithm: 14logbx-2logb5-10logby We know the properties of logarithm, ...

Q: Factor completely, or state that the polynomial is prime.: 3x3 - 3x

A: The given expression is 3x3-3x

Q: Find the slope and the y-intercept of the line whose equation is 3x + 2y - 4 = 0.

A: Given- 3x+2y-4=0  To find- The slope and the y-intercept of the above equation of line. Concept used...

Logic and Proofs

Discrete mathematics deals with the separated values of data such as integers. It is widely used in the practical field of computer science and mathematics. By knowing discrete mathematics one can improve their reasoning and problem-solving capabilities. Discrete mathematics became popular after the boom of computers which operate in discrete steps and store data in discrete bits. It also useful in studying computer programming, algorithms, and cryptography.