Find the absolute maximum and absolute minimum values of f on the given interval. f(t) 2 cos(t) + sin(2t), [1] absolute minimum value absolute maximum value

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: The differential equation that best represents exponential growth in a controlled environment where…

Q: Consider the following. u = (2,-1), v = (4, 1) (a) Find u . v. U⚫v= (b) Find the angle between u and…

A: Step 1: Given vectors are;u= <2,−1> and <4,1>∴u=2i^−j^​ and v=4i^+j^​ Step 2:…

Q: Please answer C

A: (c) Use the Chain Rule to compute ∂s∂f​ ∂s∂f​=∂x∂f​∂s∂x​+∂y∂f​∂s∂y​+∂z∂f​∂s∂z​=…

Q: Let f(x) = 3x² - 2x. (a) Use the definition of derivative and the Procedure/Example box in this…

A:

Q: Consider the series Σ n=1 (2x)n n2

A: The objective of this question is to determine the values of x for which the Ratio Test is…

Q: A box with a square base and open top must have a volume of 131072 cm^3. We wish to find the…

A: First, we know that the volume of the box is given by V=x²h, where x is the length of one side of…

Q: 2) Change the order of integration for the triple integral (x² + In(y) + z)dx dy dz so that you are…

A: The objective of this question is to change the order of integration for the given triple integral…

Q: a) Estimate the volume of the solid that lies below the surface z = 7x + 3y² and above the rectangle…

A:

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-2 0+x C a. Find lim f(x) or…

A:

Q: π 2π 8) Evaluate the triple integral √ √ √ª p² sin(4) dp do do. What is the coordinate system for…

A: Approach to solving the question: The general steps to solve a triple integral: Understand the…

Q: Please do not rely too much on chatgpt, because its answer may be wrong. Please consider it…

A: Step 1:  The scenario described suggests that the rat population reaches a stable size due to…

Q: Q1 please

A: Step 1:As you ask question 1, I solved it but if you need other parts you can ask.

Q: 4. Find the work done when a constant force of 100 N is applied to move an object from x = 2 to x =…

A:

Q: The equation x³ + y5 + 7y = 9 implicitly defines y as a single function of x at and near the point…

A: Now, we use the linearization formula: y≈f(a)+f′(a)(x−a) Where:a = 1f(a)=1f'(a)=−1/4x=1.18Plugging…

Q: 14) Graph the curve manually. Indicate the positive orientation r(t)=6cos(t) i + 4sin(t) j −2k for…

A: The given vector valued function  for

Q: Solve the following Differential Equations x²- a) y(-1) = 1 dx y²+1 b) + 2y = 3; dx c) dy - 4y = 4y²…

A:

Q: 1. The Best Quantity to Order One of the formulas for inventory management says that the average…

A: The objective of this question is to understand the function A(q) = km/q + c + m + hq/2, identify…

Q: The angle between u and v is theta where cos theta= 4/24. find t if u=[6,3,-2] and v=[-2.t.-4]

A:

Q: 2. (parametric curves) Find a parametric equation for the following curve using 0 as the parameter…

A: Solution

Q: Your college newspaper, The Collegiate Investigator, sells for 90¢ per copy. The cost of producing x…

A:

Q: An experiment is to be conducted examining the growth rate of juvenile coho salmon under different…

A: The objective of the question is to calculate the total number of fish required for the experiment.…

Q: 6) Use polar coordinates to the find the volume of the solid under the surface f(x,y) = e-x²-y² and…

A: The objective of this question is to find the volume of the solid under the surface f(x,y) =…

Q: 1. (parametric curves) Find Cartesian equations for the following curves as y = f(x) y = √√1 — t²,…

A:

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: Use the form of the definition of the integral given in the theorem to evaluate the integral. 3…

A: The objective of this question is to evaluate the definite integral of the function (x^2 - 4x + 8)…

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: I GOT THIS WRONG CAN YOU PLEASE EXPLAIN STEP BY STEP

A:

Q: compare the two set-ups togther.

A: Step 1: Step 2: Step 3: Step 4:

Q: 5) Find the volume of the solid under the surface f(x, y) = 1-xy and over the region bound by the…

A: The objective of this question is to find the volume of the solid under the surface defined by the…

Q: The tangent line to the graph of f(x) at x = 1 is shown. On the tangent line, P is the point of…

A: The tangent line to the graph of  is shown below.(a) To find the coordinates of the the points P and…

Q: (3) [Marked] Consider the surface of revolution = {(x,y (x, y, z) € R³ | x² + z² *-{\306842-({+1})}…

A: The normal vector from the given plane:

Q: E 9) Use spherical coordinates to evaluate triple integral fff (x² + y²+z2) dv, where E is the ball…

A: The objective of this question is to evaluate the triple integral of the function f(x^2 + y^2 + z^2)…

Q: A golf ball has been hit off of the tee at an angle of elevation of 30 degrees and an initial…

A: A. To get the total time of flight, we need to differentiate y(t) with respect to t. This will give…

Q: Given u = and v = u+v = Λ

A: The objective of this question is to perform vector addition and subtraction. In this case, we are…

Q: S 8 L² 6-1 x - 4|dx

A: given integration

Q: Find the indicated derivative for the function. f'(x) for f(x)=6x-8x²+5x-9

A:

Q: Use the Midpoint Rule with n = 5 to approximate the area of the region bounded by the graph of f and…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: x3 14. Find the point(s) of the tangent to the curve h(x) = = - 5x28x+3 with same slope 4 3 as 48x +…

A: Step 1:Step 2:Step 3: Step 4:  Thanks

Q: #3(a) In the plane, sketch and shade the region R described by the inequalities O≤x≤1, 1-x≤y ≤√1-x²…

A: Step 1: Step 2: Step 3:

Q: Find the derivative of the following function. 20 s=t In |t| Which rule of differentiation will be…

A:

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

A: Step 1:

Q: 1. Find all max/min and intervals of inc/dec. f(x)=3sin(2x). [0,π] 2. Find all POI and intervals of…

A: Answer 1)To find the maximum and minimum points as well as intervals of increase and decrease for…

Q: + ऐ О 5) Find the volume of the solid under the surface f(x, y) = 1 - xy and over the region bound…

A: The objective of this question is to find the volume of the solid under the surface defined by the…

Q: If a stone is dropped from a height of 576 feet, its height s after t seconds is given by s(t) = 576…

A: The objective of this question is to find the velocity of the stone at different times and to…

Q: Use the quotient rule to find the derivative of the function. y' = (Simplify your answer.) 2 y= 7x-6

A:

Q: Find the exact location of all the relative and absolute extrema of the function. Your instructor…

A: 1. To find the absolute or relative extrema of the function g(t)=41​t4−32​t3+21​t2, we can use…

Q: Use the shortcut rules to mentally calculate the derivative of the given function. f(x) = 8x4 f'(x)…

A: The objective of this question is to find the derivative of the function f(x) = 8x^4 using the power…

Q: Show working please

A:

Q: 4t Let (t) = Find fr (c) de dt (don't include the +C) fr (t)dt = <[

A: Step 1: Step 2: Step 3: Step 4:

Q: find domain

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