. Radium decomposes at a rate proportional to the amount at any instant. In 100 years, 100 mg of radium decomposes to 96mg. How many mg will be left after 200 years? OF 20 A 0 16 00 70

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4x

A: This is a problem of tangent line equation. Slope of the tangent line is equal to the slope of given...

Q: ƏN 10. =? (a) y (b) —у (c) 5y² + y³ sin y (d) 5y² – y+ y³ sin y

A: Topic = Derivative

Q: d'y if-8x-7y = 10. Find %3D dx2 Provide your answer below: -口 dy dx² FEEDBACK

A:

Q: Find the length of the curve for the following parametric equations for 13 <t < 15. Find its exact l...

A: The parametric equations,xt=31+30t2yt=34+20t3from 13≤t≤15

Q: Which of the following is a differential equation with homogeneous coefficient? (a) (v² – V² + y² ) ...

A: Concept: If we replace cofficent of differential equation with k time if both are same then it's hav...

Q: th 1. The 6 term of an A.P. is -5 and the 10" term is -21. Find (i) the 8th term (ii) the sum of the...

A:

Q: 10203040-10102030405060-10 You are a lifeguard and spot a drowning child 40 meters along the shore ...

A: Follow step 2 and 3.

Q: a. A circle is centered at the vertex of an angle, and the angle's rays subtend an arc that is 104.5...

A: This is a problem related to the arc and angle of the circle. By using relationship of the arc, angl...

Q: Determine the derivative of f(x) = 3 x2 In x with respect to x. f '(x) :

A: We differentiate both sides with respect to x and apply the rule d/dx(uv)=ud/dx(v)+vd/dx(u)

Q: Suppose f(a) 3D (х — 3)(ӕ + 7). a. Solve (x – 3)(x + 7) O for x. Preview b. What are the roots of f?...

A: Explained below 

Q: Convert the parametric equations of a curve into rectangular form. No sketch is necessary. = Vt, y =...

A:

Q: curve r = 5 cos(30). Set up an integral for finding the area that it encloses.

A:

Q: Calculus Question

A: The given function,      fx=4x+2+6 ; x≥-2

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series s-(.) S = п+1 n + 2 n=3 wh...

A: Given telescoping series∑n=3∞ 11+n-12+n

Q: Determine whether the series is convergent or divergent. 00 8. Σ (-3)" n = 1 convergent O divergent ...

A:

Q: 3. Find the value of the directional derivative at the particular point Po for the given function in...

A:

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h) ...

A:

Q: Q5: Find the zeros of the function- all real values of x such that f(x) = 0 a) f(x) = x² + 2x + 3x +...

A:

Q: Write the polynomial f(x) that meets the given conditions. Answers may vary. Degree 3 polynomial wit...

A: The given zeros of the function are: -5, 4i, -4i

Q: The graph of y3f(x) is given. Solve the inequalities. Write the solution sets in interval notation i...

A:

Q: Suppose that u and v are vectors in 3-space such that u ||= 5 and u · v= 7. Find: (a) u · u = (b) v ...

A:

Q: dy/dx+3y=2

A: Given query is to find solu of the differential equation.

Q: ly = In (sin (50)) find dy 14

A:

Q: i need help on question 6: the equation i am using is: f(x) = 4^-x - 2

A: The given function,   f(x)=4-x-2

Q: Radium decomposes at a rate proportional to the amount present. If half of the original amount disap...

A:

Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

A:

Q: Find the equation of the tangent line to the curve y = 5sec(x) -10cos(x) at the point (pi/3,5). Writ...

A: Given query is to find the equation of the tangent.

Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)? H...

A:

Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: b. Suppose g(x) = 969 – 0.9x³. - i. What monomial expression best estimates g(x) for very large valu...

A:

Q: The functionf is defined as f(x) = (x – 5)(x + 6)². Answer the following - questions without using a...

A: Solution : fx=x-5x+62a. if fx=0x-5x+62=0x-5=0,x+62=0x-5=0,x+6=0x=5,x=-6roots are,x=5,-6

Q: 4. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

A:

Q: Problem 1: An open rectangular box is to be constructed by cutting square corners out of a piece of ...

A: From the figure above; The base of the box that will be created is a rectangle of length = (14- 2x) ...

Q: Show that the sequence 5n n=1 is eventually strictly increasing or eventually strictly decreasing. A...

A: Given is the question of sequence and series.

Q: 10- 8 2

A:

Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x? [(dy)/(...

A:

Q: A plane flying horizontally at an altitude of 2 miles and a speed of 460 mi/h passes directly over a...

A:

Q: S S cos (y³) dæ dy 0 < x < y? and 0<y<1 4 decimals

A: The double integration of cos(y3); 0&lt;=x&lt;=y2; 0&lt;=y&lt;=1.

Q: Identify the vertex, focus, directrix and length of the latus rectum each

A:

Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: Graph both the parent function and f (r) on the same coordinate system, labeling at least three poin...

A:

Q: 2. Find five arithmetic means between 12 and 21-6.

A:

Q: Use logarithmic differentiation to find the derivative of these functions. (a) y = Vre*´(x² + 1) 10 ...

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the s...

A:

Q: Find the volume of the solid whose base is the region in the xy-plane that is bounded by the parabol...

A:

Q: Given the the parametric curve Į æ(t) = ecost y(t) = t³ – 243t

A:

Q: 1. Determine the order and degree of the differential equation d'y' 2 -222 dr4 + 4.r dr? 1 = 0. (a) ...

A: Given:-  

Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

A: Topic = Algebra

Q: Evaluate the derivative. 6) f(x) = csch¬1(6/x)

A:

Q: Solve the following equations, showing all work and clearly communicating your process by stating wh...

A: The given equation,     3x2+4x=127