Let f(t)=3−|t−3|on the interval [−1,5]. Find the absolute maximum and absolute minimum of f(t) on this interval. The absolute max occurs at t= . The absolute min occurs at t=

Q: Determine y'of (3x + 1)*(2x – 1)³

A:

Q: The growth rate of a bacteria culture is proportional to the number of bacteria present. If a popula...

A: You first need to start with assuming the number of bacteria at any time t is N. Then use the langua...

Q: INSTRUCTIONS: Differentiate the functions Find the first derivative of the given function.

A:

Q: +larctan(4))

A:

Q: salesman at a furniture store that is costs $4400 to produce 10 tables and $9600 to produce 300 tabl...

A:

Q: 1. Sketch the graph of f(x) = x + ÷. Clearly indicate the location of all axis intercepts, asymptote...

A:

Q: The circumference of a sphere was measured to be 84 cm with a possible error of 0.5 cm. Use linear a...

A:

Q: cos8x 8.S -dx sin4x os³tdt dt 9. Ste 1-sint

A: Given the integral

Q: 1. Evaluate the Riemann sum for f(x) = 3 – ¿x, 2 < x < 14, with six subintervals, taking the sample ...

A:

Q: 7. Determine the derivative of the function with respect to x. ソミx

A:

Q: The graph of a function f is shown below. You can click and drag on the graph to pan the graphing vi...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the giv...

Q: Consider the planes 2x-у+5z-13-0 3x-z+1=0 The angle between the given planes is degrees. (Round your...

A:

Q: Solve the given differential equation. z(v² – 1)dv + (v² – 4v)dz = 0 Of ( – 4)°a* = C O (1² + 4)°a* ...

A: The given differential equation is variable separable differential equation. Note : be careful while...

Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. ty8t2 + 7 dt ...

A:

Q: Activity 2.6.2. For each function given below, find its derivative. a. h(x) = x² In(x) c. s(y) = In(...

A:

Q: Evaluate the integral f 2x (x² + 3)° dx using the substitution u = x2 + 3.

A:

Q: a = (3, 2, 4), b = (-3, 3, 0), c = (0, 0, -2) %3D (a) Find a x (b x c). a x (b x c) = || %3D (b) Fin...

A:

Q: Katrina started an account with all the money she received as graduation gifts. The account had an i...

A:

Q: + 492y – 18y2 + 296 = 0

A:

Q: Evaluate the line integral along the given path: 1. So ry ds, where C : r(t) = 4ti + 3t²j, 0 < t < 1...

A:

Q: ' + y = y? Py = 1 + ce¬# Dy-1 = 1+ ce¯ Py = 1 + ce² Dy-1 = 1+ ce

A:

Q: For the following vector fields, determine whether the vector field F is conservative. If it is, fin...

A: First we find whether the given field is conservative or not then we solve for the scalar potential ...

Q: 3. Solve the given differential equation. (y + 2zy®)dz + (1 + 3z*y? + z)dy = 0 Ozy + z°y* + y = e Oz...

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if∂M∂y=∂N∂x. Then, The sol...

Q: Identify the domain of the following functions: a) f(x) = log(– 6x + 6) %3D - Domain: b) f(x) = In(7...

A: (a) Given- fx=log-6x+6 To Find- The domian of the above logarithmic functions. Concept Used- The dom...

Q: A certain breed of mouse was introduced onto a small island with an initial population of 320 mice a...

A:

Q: Differentiate: y = ln cosh (cos 2x) 3. O y = 6 sin 2x tanh(cos 2x) %3D O y = 6 sin 2x coth(cos 2x) C...

A:

Q: 1. (a) For the point (r, 0) = (3, T/2), find its rectangular coordinates. (b) For a point (x, y) = (...

A: Relation between polar coordinates (r, θ) and rectangular coordinates (x, y) is given by, ⇒xr=cos θ,...

Q: 3) Find the number of multiples of 9 between 41 and 400..

A: Given:        Multiples of 9 between 41 and 400=45,54,63,...396 Here a=45,d=9,I=396 we know that I=a...

Q: Find the local linear approximation L (x)of the function f (x)= x² +3 at x = 1

A: Given that: f(x)=x2+3      

Q: Consider the equation y = x(* – 9). %3D a Find the gradient at the points at which the curve crosses...

A: The given equation is y=xx2-9.    a. The objective is to find the gradient at the points at which th...

Q: The region shown here is bounded by y = 1 – x² and y = 0. Find the volume of the solid obtained by r...

A:

Q: Find the general solution of (2xy – 3x²)dx + (x² +y)dy = 0 - 2x?y + y? + x3 = C x?y + y? – x3 = C Op...

A: I am attaching image so that you understand each and every step.

Q: If f(x-1)=5x2-10x+2, find f(1).

A: Given that: f(x-1)=5x2-10x+2

Q: Given that g(u)=3u+75+15 where g(u)=v, define a function rule for g−1. g−1(v)=?

A:

Q: A kite is flying at a height of 30 f- A boy is flying it so that it is moving horizontally at a rate...

A:

Q: Find the average distance between points of D={(8,9.p)|aspsza) and the origin.

A:   Since you have posted multiple question, but as per guidelines we can solve only one question at a...

Q: secA + tanA is equal to

A: Given:  To Find: To simplify the given expression.          

Q: converge Determineif the fallawing Serier 1. Vn (n +1) 20 Lnn

A: we have to use integral test 

Q: (x² + 6y²)dx – 4xydy = 0,x = 1, y = 1 %3D

A:

Q: A10. Which of the following graph represent y=-36? (A) (B) -36 -36 (C)

A:

Q: x-1 1. Determine the limit of- x2. 32-1 /x² as x approaches 1

A:

Q: (x - 3)2/3 lim r3 x2 +4x - 21

A:

Q: 2. A thermometer is taken from an inside room to the outside ,where the air temperature is 5° F. Aft...

A:

Q: If you invest $20,000 at an annual rate of 1% compounded continuously, calculate the final amount yo...

A: Given, the interest is compounded continuously.

Q: 1 Evaluate the lim sin

A: This question is related to limit, We will solve it using given information.

Q: Use the triangle method to simplify sin 2 sec 2.

A:

Q: For x=e6r y=531, find y '" when y=1- O (In 5-1) 12 - In 5 (In 5- 2) 4 O 3 -In 5 (In 5- 2) - (In 5-1)

A:

Q: Evaluate the porticalar çoution of: y(み-yty)x - x(4-y)dy %=o when x=1, y = 2 A- y?Inx + xy + x* = 2y...

A: y(2x2+y2-xy)dx - x2(2x-y)dy = 0 dydx=y(2x2+y2-xy)x2(2x-y) dydx = (2x-y)xy + y3x2(2x-y) dydx = xyx2 +...

Q: 5cot 2.5 zin° sin2

A: Since you have asked multiple question, we will solve the first question for you. If you want any sp...