5. Krypton-85 is an inert radioactive noble gas with a half-life of approximately 10.76 years. a. Write an exponential function to model this situation and define each variable. (

Q: Define the points Q(3,2) and R(8,- 10). Carry out the following calculation. Find the unit vector…

A:

Q: f'(x) = -2 sin(x), ƒ(4) = √² +7

A:

Q: Evaluate the limit using the Basic Limit Laws and the limits limx→c xPla = c/a and limx→ck = k.…

A:

Q: The auxiliary equit of the give is +6m +8 = 0 m ² & 4 mt 3m

A: We are asked to solve the equation

Q: Use any method to solve the system. (If there is no solution, enter NO SOLUTION. If the system is…

A:

Q: 1 x² ln x da

A: Topic:- application of integration

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 2 m² tym+ 2m +8=0 m (m+4) +2(m+y) = 0 (m…

A: Here I will show you two different method to solve the value of   m

Q: Differentiate each function. f(t)=sin5t

A: We have to find derivative

Q: Use the method of variation of parameters to determine the general solution of the given…

A:

Q: A 19 ft ladder leans against a wall. The bottom of the ladder is 4 ft from the wall at time t = 0…

A: To find the velocity of the top of the ladder sliding away.

Q: Solution:- Given H(jw) -(4+jw) 6+5jw-w² It Can rewrite as:- (jw+4) (- : ; ²= + 1) 6+ (jw)² + 5jw…

A:

Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

A:

Q: Let y = tan(4x + 3). Find the differential dy when x = 3 and dx = 0.3 Find the differential dy when…

A:

Q: Y=1/5x^3-square root of x^2+1.Find the graph, the concavité upward and downward, point of…

A: The given function is f(x)=15x3-x2+1 To graph the function and find the interval where the function…

Q: Define the points P(1,1) and Q(3,-4). Carry out the following calculation. Find two vectors parallel…

A:

Q: Find dy/dx for 2x+y³ = 2y A B D bevelled fraction numerator d y over denominator d x end fraction…

A:

Q: Given f(x) = 5x³ + 7x + 7, write a limit representing the derivative of f(x) at x = −2. Provide your…

A:

Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: We will use properties of partial fraction

Q: etermine the rule on the flow diagram 56 7 9 11 72 88

A: Concept: Flow diagram: An action sequence, system movements, and/or decision points are visualized…

Q: Find the four second-order partial derivatives for f(x, y) = 2x³y² +6x5y4. fxx² fyy= x" fyx 11 11 11

A:

Q: Use the given transformation to evaluate the integral. 11² 9x² da, where R is the region bounded by…

A:

Q: (14) Use log differentiation to find the derivative of the function. Y = (sin (7x))*

A: Here, the given function is: y=(sin(7x))x Taking logarithm on both sides, we have: ln y=ln(sin(7x))x…

Q: Consider the vector-field F(x, y) = y²i-xj, and let C be the arc of the parabola y = k – x² from the…

A:

Q: A pilot is flying from Daytona Beach to Prescott. The two cities are 1874 miles away from one…

A: Let speed of light  = Va         wind speed  = Vw = 12mph  let flight flying direction WαN       ⇒…

Q: Express lim Σ n → ∞i=1 3 n ( n 3i + COS 9/² 2 as a definite integral

A:

Q: Find the derivative of f(x) = 6 sin¯¹(x + 4). You do not have to expand out your answer. ƒ'(x) =

A:

Q: Find fx, f, fx(2,6), and f,(1, -7) for the following equation. f(x,y)=√x² + y² 4-0 (Type an exact…

A: We can solve this as follows:

Q: #1. Compute the sum, if po 8 n 3 () 5 n=0

A: It's a GP with infinite terms and having common ratio between -1 and 1

Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

A:

Q: jw)² +5jw+6 =(jw)² +3jw+2jw + 6 =jw(jw + 3) + 2(jw+3) (jw+3) (jw+2) I

A:

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

A:

Q: 9. S coslnxdx X

A:

Q: The position of a car traveling along a highway is given by the function s(t) = 2t² - 6t+ 3 where t…

A:

Q: r3 0 d.x 16+ x²

A:

Q: Find the derivative of y = (-4x - 9)csc (x). Be sure to include parentheses around the arguments of…

A:

Q: Graph the parabolar = 3/(2 + 2 sin Select the correct answer. O I

A:

Q: 1)² +5jw+6 =(jw)² + 3jw+2jw + =jw(jw + 3) + 2(jw+ (jw+3)(jw+2) How did he get the

A: Topic:- simplification

Q: The derivative of a function at each point is itself. y=kex

A: To find out the derivative of the function.

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

A:

Q: The auxiliary equit of the given diff- is m² + 6m +8 = 0 2 m² + ym + 2m +8=0 m (m+4) +2 (m+4) = 0 2…

A: We can solve your query in the following steps.

Q: ㅠ S tan5 (2x) sec² (2x) dx ㅠ 2

A:

Q: For each system of equations, determine if there is an intersection and classify it (point, line, or…

A:

Q: Y= x^5-2x^4+3x^2-5x+1 find the concavité upward and downward, show the graph and find the point of…

A:

Q: Solve the differential equation. y' - y = 3ex

A:

Q: dy dx for A B y=23√x²-3arcsin(x³) True False 2 9x² 33/x /1-x6

A:

Q: The integraing factor of (4xy+3y²-x)dx + x(x+2y)dy= A B Ⓒ 2x-1 с 2x-2 D

A: To find the I.F of differential equation

Q: Find two positive numbers satisfying the given requirements. The product is 1200 and the sum of the…

A: To find the two positive number.

Q: = In (). 5. If z= In determine if the following statement is true or false. Justify your answer.

A:

Q: For what values of x is the function f(x)= A 2 B с The function is never increasing The function is…

A: