Find the absolute maximum and absolute minimum values of f on the given interval. (Round all answers to one decimal place.) f(t) = t√/25 - t² [-1, 5] (min) (max)

Q: f(x) = −5x³ +1 x y -2 -1

A:

Q: 70. The base of S is the region enclosed by the parabola y = 1-² and the z-axis. Cross-sections…

A:

Q: The base of a right triangle is increasing at a rate of 1 meter per day and the height is increasing…

A:

Q: Simplify the expression completely. -3√-36 + √-1000-3√-64 √25

A:

Q: 6) (7.3) Find the Laplace transform L{f(t)} for f(t) = = t, -t +4, Ust 1≤t<2 t≥ 2

A:

Q: Find all critical values for f(x) = (x+2)³(x + 10)6. The critical values occur at x = commas) .…

A: To find all critical values for .

Q: 08 n=1 (-1) 凯

A: Consider the series

Q: Find the derivative of h(x) Provide your answer below: h'(x) = tan (3x + 1).

A: We have to find the derivative of the given trigonometric function.From the differentiation rule-

Q: (Technology Permitted) At time t=0 there are 100 gallons of water in a barrel. Water starts leaking…

A:

Q: d) Graph the function in the space below, clearly labeling your axes. Title your graph. e) What…

A: Note:-Since you asked multiple sub parts question, according to our policy we can solve first three…

Q: If ƒ'(x) = x +4 x - 4 g'(x) = " differentiate g(x) = ƒ(x²) FI

A:

Q: Approximate √9.1 using tangent line approximation First note that √9.1≈ √9. Let f(x)=√x. Then, f'(x)…

A: f(x)=sqrt(x)x0=9

Q: Find the derivative of_y = ln Answer: y √2+9x² 7.9

A: Consider the function

Q: The surface of a mountain is modeled by the equation h(x, y) = 7,000 0.001x²-0.004y. A mountain…

A: The equation ish(x,y) = 7000 - 0.001x^2 - 0.004y^2 Mount climber is at point (500,900,3510) First we…

Q: 7. The base of a right triangle grows 2 ft per sec, the altitude grows 4 ft per sec. If the base and…

A:

Q: Two cars are moving towards an intersection. One car is 200 meters north of the intersection and…

A:

Q: Let f(x, y, z)= exy sin(x+y) Calculate fxxz· z²+1

A:

Q: A segment of the graph of f(x)=2x-cos (4x) is shown. Determine ALL the x-values in the where f(x)…

A: given function is

Q: S 1.0 1.0 *

A: From the graph of f(x)f(1)=1.5Let (x1,y1)=(0,0)(x2,y2)=(2,3)f′(x)=y2−y1x2−x1f′(1)=3−02−0=1.5From the…

Q: Question 7 A chemical manufacturing plant can produce z units of chemical Z given p units of…

A:

Q: 3. h(x) = 1.3* at x = 4. k(x) = 6.8-2x at x = -1

A: The given functions,3.  at .4.  at .The aim is to find the value of the function at the given point.

Q: 5. a) Draw the graph of a function for which the conclusion of the mean Value Theorem does not hold.…

A:

Q: Find A² (at if k(at) = e (~ 32 20² + 32¹/3) k' (x)

A: The function is given byTo determine: The derivative of the function.Formula used:

Q: Find the general solution except when the exercise stipulates otherwise. (D2-1)y=0; when x=0, y=y0,…

A: find the general solution of the

Q: Determine whether 1 n³/2+2 is convergent.

A: Given that the series we have to find whether it is convergent or not

Q: Ten people stand in line for a picture. How many different ways could you line everyone up if you…

A:

Q: Suppose that f(1) = 2¹ f(1.5) = c f(3) = 6¹ f(2)=4¹ and f(2.5) = 8. Find the value of if the C…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate √25.2 as follows: Let f(x)=√x. Find…

A: By using the linear approximation i.e. the tangent line,to approximate .

Q: Consider the function f (x) = x³ - x. Find the maximum and minimum value of fon [1,1]. Round your…

A: Consider the function

Q: How long (in years) would $400 have to be invested at 6%, compounded continuously, to amount to…

A: invested amount=$400interest rate= 6%=0.06future amount=$ 975

Q: Sketch a graph that possesses the characteristics listed below. f is increasing and concave up on…

A:

Q: 3. Determine whether the series converges or diverges. If it converges, find its sum. 3n+1 ∞ 00 (a)…

A:

Q: Find the limit. (HINT: Treat the expression as a fraction whose denominator is 1 and rationalize the…

A: We have to find the limit:

Q: A particle moves along a straight line and its position at time t is given by s(t) = 2t³ – 33t²…

A: Solution is following in explanation step.

Q: Find the minimum absolute extremum as well as all values of x where it occurs on the specified…

A: f(x)=13x3−2x2+3x−4;[−2,5]Using the power Ruleddxxn=nxn−1

Q: Determine the inflection point of the following cubic: The inflection point is at (x, y) = ( [ f(x)…

A:

Q: 1. y-y-3y = sin 2x

A: we have given differential equation

Q: Consider the function f(x) = x + 2 cos x, for 0 < x < 2п. Which of the following values are…

A: we need to find out the inflection points for the given function on the given intervals.

Q: f(t) = 2t³ + 3t2 - 36t

A:

Q: Let y = 5x². Find the change in y, i.e., Ay, when x = 1 and Ax = 0.3 Find the differential dy when x…

A:

Q: Use a linear approximation to estimate √49.4. a. What is the ideal linear function for this…

A: The linear approximation formula

Q: Evaluate the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary method,…

A:

Q: Simplify the expression to a + bi form: (−8+9i) (12+ 10i)

A:

Q: Find the gradient of the function at the given point. In(x² − y) – 7, (3,8) X Vz(3, 8) = Z

A:

Q: (7.3) Use the Laplace transform to solve the initial-value problem, y" - 2y' + y = et; y(0) = 0,…

A:

Q: k nverge or diverge?

A:

Q: what number exceeds its square by the maximum amount?

A:

Q: Let a, h, and k be arbitrary real numbers with a + 0, and let f be the function given by the rule…

A: Given that a,h,k are arbitrary real numbers with  and let f be a function given by the rule

Q: Given f(x) = f'(2) = 1 x+1 find f' (2) using the definition of a derivative. Provide your answer…

A:

Q: The revenue from the sale of a product is, in dollars, 12 R = 1500x + 3000(2x + 3)-1 - 1000 where x…

A: