type of radioactive element has a daily radioactive decay rate of 0.9%. If 11 pounds of this element are available today, find how much will still remain after 190 days. Use an exponential decay model of the form y=y0e^−k⋅t, where k is the decay rate. If needed, enter your answer to 5 decimal places.

Q: n aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water. Find the work needed to pump…

A: Given that an aquarium 3 m long, 1 m wide, and 1 m deep is half-filled with water.

Q: Find the unit tangent vector to the curve at the specified value of the parameter. r(t) = 9ti −…

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Q: Find the a. 3yx² + y² = k b. 3yx² - 3y³ = k 3yx² - y² = k solution of the DE y' c. d. yx² - y³ = k…

A: The given differential equation is  y'=2xy/y2-x2

Q: Let y=e¯*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

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Q: y' + y² sin x = 0 Ans: y + cos x = c

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Q: If f(x) ƒ'(x) = = Cos = ƒ'(2): = 2 tan , then

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Q: Use the four-step process to find r'(x) and then find r'(1), r'(2), and r'(3). r(x)=8-4x² r'(x) =

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Q: Which of the following DE has no degree? A y (3y"-x) ¹1/2-2xycos (x²) =0 Bye-In(y) = 0 y³sin (y"-x)+…

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Q: Find the equation of a plane that is perpendicular to the vector 57- 2j+ kand passing through the…

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Q: The price-demand equation and the cost function for the production of table saws are given,…

A: The solution is given below

Q: The total cost (in dollars) of manufacturing x auto body frames is C(x) = 70,000 +900x. (A) Find the…

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Q: Refer to the graph of y=f(x)=x² + x shown. a) Find the slope of the secant line joining (-3, f(-3))…

A: The function is given by fx = x2+x The formula of the slope of the line joining x1, y1  and x2, y2…

Q: After t days of advertisements for a new laundry detergent, the proportion of shoppers in a town who…

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Q: Determine whether the following equations are linear, separable, Bernoulli, or nonlinear homogenous.…

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Q: If f(x) = ƒ'(x) = f'(5) = = √x - 3 √x + 3 3 find:

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Q: K The total cost (in dollars) of manufacturing x auto body frames is C(x) = 30,000+200x. (A) Find…

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Q: Find the determinant of each of the following matrix a) b) 0 1 √√3 √20 0 √√3 0 0 0 2 0 2 0 0 √√3 √√3…

A: The given matrices are; a) 0            sqrt(3)     0      0     sqrt(3)       0           2      0…

Q: Find the length of the curve r(t) = (ln(t))i + (2 t)j + (t²) k from t = to t = e.

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Q: The price p (in dollars) and the demand x for a particular clock radio are related by the equation…

A: Topic- function and application of derivatives we are given,p: pricex: demand of number of clock…

Q: Consider the equation x + 2a of the given equation? O O x= O x= P= 5a b 4 11a-b 4 b-11a 4 b-5a 4…

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Q: Find the reference angle, R in DMS and in radians. Draw the angle (label completely In DMS, whole…

A: Solution is given below:

Q: lim X> +∞o ( √9x² -5x+1 + 3x

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Q: Use the price-demand equation below to find E(p), the elasticity of demand. x = f(p) = 7000-5p² E(p)…

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Q: Determine whether (a) through (c) are true, and give an explanation or counterexample. a. For linear…

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Q: 2. (1 + 3/2x − 1)² = 3 + √3/2x − 1

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Q: Problem 9: Find the reduced row echelon form of each of the following matrices: 2. -1 r-2 3 -3 0 ON…

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Q: Question 9 Interpret r(t) = (3 e' cos(t))i + (3 e sin(t))j + (3 e) k as the position of a moving…

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Q: Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the…

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Q: 3. For the curve y = x³ + 2x² + 4,Solve the equation of the normal line at point (-3,-5)

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Q: The condition is, H (7) = 17.9; 260 1+ Ce-0.004 (7) 17.9= ⇒1+C₂-0.004(7) ⇒Ce-0.004(7) 260 17.9 -662)…

A: a differential equation is an equation with one or more derivatives of a function. The derivative of…

Q: Evaluate the integral, which has irreducible quadratic factors.       7 (x − 7)(x2 + 2x + 9) dx…

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Q: M. Takahashi is employed at an annual salary of $30,822 paid semi-monthly. The regular workweek is…

A: Topic- algebraic operations We are given annual salary=$30,822 regular workweek =37 hours number of…

Q: 1. df = e/dx + (e/ — 1½) dw X 1 ew w)dw W 2. df = 3x² dx - ez dy - 4yez dz 3. dg = (3y² +3z²y-²)…

A: Here we have to find the total differential of the given function.

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

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Q: 1- y²dx + √√√1-x²dy

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Q: f(x) is continuous on (-∞0,00). Use the given information to sketch the graph of f. f'(x) +++0 -4…

A: Topic - function and derivatives we are givenf'(x)= 0 at x=-4,4f''(x)=0 at x=-2,4f'(x)>0 for…

Q: Let f(x) x - Complete the table below. Round all table values to four decimal places, if necessary.…

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Q: A geometric sequence has 6th term 8 times its 3rd term. The sum of 7th term and 8th term is 192.…

A: The nth term in a geometric sequence is an=arn-1 Here, a is the first term and r is the common…

Q: points) 0³y əx² ət A B C (D) <- 11 y t x E) V 0² dx² 0² ət ox vt 3uxy +=0

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Q: lim X> +∞o ( √9x² -5x+1 +3x ‹)

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Q: and the profit function if cost and revenue are given by C(x) = 194 +6.5x and R(x) = 7x-0.09x² e…

A: Given query is to find the profit function.

Q: Let f(x,y,z) = x²-tany² 2xyz Solve for fxyz.

A: We need to find fxyz

Q: Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

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Q: Parabola y² = 28x FIND THE: Opening - Vertex - Focus - Directrix - Axis of Symmetry - Latus Rectum -…

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Q: 79. f(x) = 4x + 3

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Q: Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4,…

A: Topic- point of intersection of plane and line we are given equation of plane :-6x+6y+2z=80 equation…

Q: Express the repeating decimal as a fraction. 0.2715 25 25 25....

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Q: am

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Q: (B): use the directional derivative to estimate how much f(x, y) = cos(xy) + xy² Will change if the…

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Q: Find the limit of the following. lim 0/6 lim 9/¹ 0 sin 9- 0 0- sin 0- T 6 1 2 T 6 1 2 ...

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