An experiment is to be conducted examining the growth rate of juvenile coho salmon under different temperature and food conditions. To get reliable results we need to have 40 fish in each set of conditions. If there are four different kinds of food and three distinct temperatures of interest, and if we wish to conduct the experiment separately for males and females, how many fish will we need? fish

Q: 15. Please solve the following calc 3 problem (show all work by hand)

A:

Q: a. Verify that the given point lies on the curve. b. Determine an equation of the line tangent to…

A: Step 1: Solution-(a)Given curve: x3+y3=30xyGiven point: (15,15)We have to verify that the given…

Q: Find the curvature of the function y = 3x5 at x= – 1. - Find the radius of curvature at x = -1.

A: Note: I rounded the final answers to 4 decimal places since there was no instruction as to how many…

Q: An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per…

A:

Q: 3. Pulling Gasoline Up (Work on Fluids) A cylindrical tank with a length of 10 m and a radius of 5 m…

A: Step 1: Formulate the cross-sectional area of the gasoline layer The cross-sectional area of the…

Q: calculus 2 series

A:

Q: 1 cos" (x) dx = sen(x) · cos"−1(x) + · . cos"-2(x) dx 1-1/co

A:

Q: Consider the function f(x) = 2x²-x-5 and complete parts (a) through (c). (a) Find f(a + h); (b) Find…

A:

Q: Now instead integrate the power series for 1/1-x  to find a power series representation for ln(1-x0.…

A:

Q: Q3 C7

A: Step 1: Use the table of values to compare the temperature of the object T to time t where its…

Q: Use the given graph to determine the value of the indicated limits. (a) lim f(x) x--1 (b) lim f(x)…

A: Given graph of a function isWe have to find the value of the following limits

Q: Please solve the following calculus 3 question: please show all work by hand step by step

A: The objective of this question is to find the largest possible domain of definition for the function…

Q: Differentiate the following function. y =In5x = dx

A:

Q: Use the graph of g in the figure to do the following. a. Find the values of x in (-2,4) at which g…

A: Thank you

Q: I amnneeding assitance with the equation in the attached image, 4.10.

A: Step 1:Step 2:Step 3:Now to check which plot is correct let us see the function y=cos(3x) graph.As…

Q: 2) Evaluate the double integral ff (x² + y²) dA over the region bound by 9≤ x²+ y² ≤25 by converting…

A: The objective of this question is to evaluate the double integral of the function (x² + y²) over the…

Q: Given: sin(x) expression: == 4 5 cos (y) = sin(x-y) 12 12 13 and 0 < x, y <-, find the value of the…

A: sin(x−y)=6533​

Q: 4 4 Use the fact that the derivative of the function f(x) == x is f'(x)= to find the equation of the…

A: The equation of the tangent line to the graph of f(x) at the point x=-9 is y=81−4​x−98​Explanation:

Q: Solve the problem. 10) Find the equation for the tangent plane to the surface 6x+5y - 5z = -9 at the…

A:

Q: 1. Circumference of a circle: Consider the polar equation r = 2Rsine. Sketch the graph, identify the…

A: 1. Circumference of a circle.

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinderto hold 450…

Q: if u=[2,3,0] and v=[0,2,4], find a vector of magnitude 4 perpendicular to u and v

A:

Q: Use Newton's method to estimate the one real solution of x3+4x-1=0. Start with x=0 and then find X2-…

A: By using Newton's method to find  by starting with for thefollowing equation.

Q: 13. Let v(4,8, 12). Which of the following vectors is parallel to v? Which point in the same…

A: Two vectors are parallel if they are scalar multiples of each other. This means that each component…

Q: For the function graphed below, estimate the point of greatest curvature -4-3-2 x =

A: Step 1: Step 2:We can visually inspect the graph to estimate the point of greatest curvature…

Q: Section 1: K/U Multiple Choice: [3 Marks] 1. Derivative of y = 14 is: a) 0 b) 1 2. Derivative of…

A:

Q: Evaluate the integral using the Fundamental Theorem of Calculus, Part I. (Use symbolic notation and…

A:

Q: An 8-ft-tall fence runs parallel to a wall of a house at a distance of 22 ft. Find the length of the…

A: The objective of this problem is to find the length of the shortest ladder that can reach from the…

Q: Given the function f(x) = 10 log(x + 3), find the area of the region bounded by the graph of y =…

A: Given: To Find: To find the area of the region bounded by the graph of , the x-axis, and the line .

Q: 1 Use the fact that the derivative of the function g(x)=√x is g'(x) = - to find the equation of the…

A: Answer: y=x/16 +4=0.0625x+4Explanation:Step 1:

Q: Use the quotient rule to find the derivative of the function. y' = ☐ (Simplify your answer.) 6 y=…

A: y=4x+16​let:u = 6 u' = d/dx(6) = 0 v = 4x + 1v' = d/dx(4x + 1) = 4 Solution:Substitute and simplify…

Q: Suppose that the function f(x) is defined as f(x) = 2 sin²x-9 sin x cos x + cos² (2x) — 7 sin(2x)…

A: The given function

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 1 + 5y², 1 ≤…

A: If you have any questions let me know in comment box thankyou.

Q: You plan to take out a 30-year fixed rate mortgage for $250,000. Let P(r) be your monthly payment if…

A: Step 1: for part (a) exact value is calculated in part (b)   Step 2:(P'(7) can be approximated as…

Q: For a certain endangered species, the goal is to have 400 breeding adults in the wild by 2023. If…

A: Step 1: Step 2:  (C).(c) Interpretation: (a). P(14)≈341: This means that in the year 2026 (since x =…

Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by C(x)…

A: To find the value of c where the average cost is minimized, we first need to find the average cost…

Q: . Find all second partial derivatives of the function f(x,y) = ln(1 + r²y3), and show that the mixed…

A: The given function is . We have to find all partial derivatives

Q: As machines get older, the cost of maintaining them tends to increase. Suppose for a particular…

A:

Q: A polling firm determines that the percent of likely voters who support a certain mayoral candidate…

A: (a) Option A is correct.The percentage of likely voters to support the candidate 8 weeks after…

Q: (f) 19 - x²|dx -4

A:

Q: Determine if the sequence converges of diverges, if it converges, find the limit. an = √1+4n2 /…

A: To determine if the sequence converges or diverges, we need to find the limit as n approaches…

Q: 4  For the function shown in the​ graph, give the​ interval(s) where the rate of change of​ f(x)…

A: Step 1:a) The rate of change is positive on the interval where the slope is increasing. From the…

Q: Suppose f" (x) > 0 on some interval (a, b). Check all of the following statements that must be true.…

A: The objective of the question is to determine which of the given statements are true given that the…

Q: the total cost for printing x books can be given by the equation c(x)=1000+12x+(1/2)x^(2/3). use…

A: The objective of the question is to find the break-even point for the printer using Newton's method.…

Q: Find the derivative of the following function. y= (3x²+7) (4x+1) 5x-9

A:

Q: Find the derivative of the function. 3 In 2x y= 4+5x dy | dx ||

A: Step 1:

Q: Q4 C7

A:

Q: Find the derivative. y = log (4x) = y' = ☐

A: also Answer

Q: 3. Assume x = p(t), y = q(t), and a <t≤b. Also, assume the curve does not cross itself and both…

A: Step 1:Given: x = p(t), y = q(t), and a≤t≤bWe have to write formula for area, arc length and surface…

Q: Given that h'(x) = 4x² - 2x 2x and h(1) = 2, find h(x).

A: