consider the function f, such that f and f are continuous for t > 0 defined by: 0

Q: 1. The half-life, T, for a particular radioactive element is 3 min. Find the decay rate of the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: 3 use the definition of latlace transforms to find £{+²H (E-5) } JINO

A:

Q: In the Figure 1, if Q= 40 N, R = 100 N, and B = 145°, then C is equal to: Figure 1: с A R B P

A:

Q: If sin t = and t is in quadrant I, find the exact value of sin (2 t), cos (2 t), and tan (2 t)…

A:

Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Use synthetic division to find the quotient and the remainder. (x²-1)+(x-1) The quotient is Q(x) =…

A: By using synthetic division to find the quotient and the remainder.x4-1÷x-1

Q: 2-¹ {; -} 18-7 s²+48 +9, In the process of calculating you obtain an equivalent expression given by:…

A:

Q: The statement (A + B) - (C' n B) = (A + C) is an identity. (Hint: draw a Venn diagram of the LHS and…

A:

Q: whought c. The plane through (1,1,-1), (2,0,2) and (0,-2,1)

A:

Q: Section 6.4: A spring has a natural length of 28.0 cm. f a 26.0-N force is required to keep it…

A: Follow the procedure given below.

Q: what should I write as the final answer

A: Let's solve given diffrential equation.

Q: D Question 3 Let P = f(t) be the population of the United States, in millions, t years after January…

A: We have to explain each mathematical statement into practice meaning.

Q: 2. Which of the following is correct in solving [2.xv 2x√√/2+x dx? (a) Substitution technique can be…

A:

Q: 1 1- x

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: g. The line through (0.-7,0) perpendicular to the plane x+2y+2z=13 h. The line through (2,3,0)…

A:

Q: Next question 1 5 Find the absolute extrema if they exist, as well as all values of x where they…

A:

Q: Which of the following gives the area of the region enclosed by the line y = -x − 1 and the parabola…

A: The simple diagram then horizontal strip...

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: Consider the following differential equation. (x + 1) + (x + 2)y = 4xe-x dx Find the coefficient…

A: Transient term in a general solution of a differential equation are those terms that tends to 0 as x…

Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. - 1)k+19 k!…

A:

Q: It is your job to design a Ferris Wheel that meets the following parameters. • The bottom of the…

A: We need to find periodic function.

Q: f(x) = قر 3 3x2 + 5x - 20

A:

Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

A:

Q: A ball with mass m kg is thrown upward with initial velocity 20 m/s from the roof of a building 10 m…

A: topic- quadratic equations

Q: 4) Find equations for the planes: b. The plane through (1,-1,3) parallel to the plane 3x+y+z=7 A-3+1

A:

Q: 6. 1 2 0 *(:) * (****)- 34 G 9 11 B. None of them A. C -11 D. 18 201

A:

Q: d. The plane through P,(2,4,5) perpendicular to the line x=5+t y=1+3t , z=4t

A:

Q: et J ((et + 4)²-9)³/2 9)³3/2 dt.

A: See the details solution in below

Q: Date Jan 16 Feb 16 Mar 16 Apr 16 May 16 Jun 16 Hours light 8.95 10.18 11.62 13.27 14.65  15.40…

A: Here i am provmy hand written solutions

Q: 1) Compute the value of representation √√√√3-i in exponential representation and polar

A:

Q: Do as indicated. a. Find the equation the tangent line and normal line to the graph of f(x) = x³ at…

A: a) First we find slope of the curve at x=2 Therefore differentiate function y=x3 w.r.t.'x',…

Q: 14. Find the general solution of the given differential equation. 9y''+9y'-4y=0 topic: complex…

A: Given 9y''+9y'-4y=0To find general solution of D.E.

Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: kx 4+x² If k 1, evaluate k (a) 2 kx (b) 2 J₁ arctan (2x) + C arctan (2x) + C dx. (c) // ln(x² + 4) +…

A:

Q: Evaluate [(cos² 0 + 2 csc² 0 + sin²0) do. (a) 0 + 2 cot 0 +C (b) 0 2 cot 0 + C - (c) sin²0 + 2 cot 0…

A:

Q: All Operations With Decimals 4 Mario wants to increase his daily mileage by four tenths of a…

A:

Q: Explain in words how to evaluate the derivative of function?

A:

Q: Q5/ Determine the total differential If Z = f(x,y) = x²y², x=2rcose, y = 2rsine

A: Here, the total derivative rule used is: z=f(x,y)=x2y2 & x=2rcos θ , y=2rsin θ

Q: The officers of a high school senior class are planning to rent buses and vans for a class trip.…

A: Solution

Q: Q3/Evaluate: ff(x + y) dy dx for the region bounded by the x = 0, x = 2, y=x and y=x+2

A: Given

Q: x²-16 8. lim x-4x²+9x+20

A:

Q: du z(zv−zn)

A:

Q: Let R be the region bounded by the parabola y = 4x² and the line y = x + 2. (a) Find the area of the…

A:

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: 1. Consider the following statements: 1 I. 27x+3, 27x - 11, and 27x+ are antiderivatives of 27. 7…

A:

Q: The graph of the equation x3 + y = 1 is one of a family of curves called astroids because of their…

A:

Q: Find the area of the region in the first quadrant bounded by the circle (x - 1)² + y² = 1, and the…

A:

Q: R: y = x², x = 3, x-axis axis of revolution: x = 3

A:

Q: Q3/ Evaluate: ff(x+y) dy dx for the region bounded by the x=0, x=2, y = x and y = x + 2

A: