Find the average value have of the function h on the given interval. h(u) = (14-7u)-¹, [-1, 1] Step 1 The average value of f(x) on the interval (a, b) is found by using the following equation. TOFLX fave = f(x) dx

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: st ар хи पा S

A:

Q: W(t) = - 3t² +6t+45 a) Find the speed at the beginning of the interval. b) Find the maximum speed…

A: The given equation isAs per the question, this W(t) shows the speed per minute.

Q: What is the maximum height of the long jumper? Round to 2  decimal places.   The maximum height…

A: From Part a.) we found that the jumper reaches maximum height when the distance is 3.79mts

Q: 1) In this problem, let x = 2, the value Ax = dx, dy = f'(x)dx, and Ay = f(x + Ax)-f(x) to complete…

A: Note:-Since you asked multiple questions ,according to our policy we can solve only first question…

Q: A collection of books is set up into 34 rows. The first row has 96 books, and each row after that…

A:

Q: Consider the function f(x) = 62²-82¹. (a) Find all critical numbers c of f. (b) f is concave up for…

A:

Q: Find the difference of the complex numbers in the complex plane. (-8+) - (8 + 1) Need Help? Read It…

A: Given that we need to find the difference of complex numbers.

Q: Use the chain rule to find the derivative of f(x) = 5(7x5 + 8x) 1¹8 You do not need to expand out…

A: here the given function is

Q: Calculate M6 for f(x) = 4 · ln(x³) over [1, 2]. M6 = F

A:

Q: In the picture below is a shaded region between the curves y = r¹-2r²+1 and y = 2-2r² for -1 ≤ ≤ 1.…

A:

Q: The following statement is true by mathematical induction: n! ≥ 2n for all natural numbers n. True O…

A:

Q: Find the following limit without using limit tables. (If an answer does not exist, enter DNE.) 7x² -…

A:

Q: Find the equations of the tangent lines at the point where the curve crosses itself. x = t³ - 5t ²…

A:

Q: Let k(x) = f(x)g(x) / h(x). If f(x) = 7x, g(x) = x − 6, and h(x) = −2x^2 + x + 14, what is k′(x)?…

A: If f(x) = 7x, g(x) = x − 6, and

Q: a) b) 13 Given cosecß = where ß is an obtuse angle. Find the value of tan 5 Solve the equation…

A:

Q: 13. Find the absolute maximum and minimum values of the function f(x, y) = x + y -xy over the…

A: Given, the function is f(x, y) = x + y -xy on the set D and D is the closed triangular region with…

Q: Match the trigonometric expression with its simplified form. sec²(x) - 1 sin²(x) O csc(x) 0-1 01 O…

A: Given

Q: Determine £¹{F}. F(s) = 7s²-18s+7 s(s-7)(s-4) ***

A:

Q: Calculate the coefficients of the first four terms of the binomial expansion for the binomial (x +…

A:

Q: f(x) =

A:

Q: Solve the given initial-value problem. (Use x as the independent variable.) 2y'y" = 1, y(0) = 4,…

A:

Q: 4x 9. Let f(x, y) = 1+y a) Find the linearization L(x, y) of the function f at the point Po(1,1). b)…

A:

Q: Given the function f(x) = -2x, find the net signed area between f(x) and the x-axis over the…

A:

Q: The dependent variable y is missing in the given differential equation. y" = 1 + (y')² y(x) =

A: The second-order non-linear homogeneous equations can be solved by using substitution.

Q: Use a graphing utility to graph the curve represented by the parametric equations. (Indicate the…

A:

Q: A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 2400 yd…

A:

Q: EVALUATE THE INTEGRAL USING THE 135 5-2x+3x² dx FORMAL DEFINITION

A:

Q: Consider the function f(x) = = x² - 7x+10 x + 5

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Write the first four terms of the geometric sequence satisfying the following conditions: a₁ = 2,…

A:

Q: Evaluate. (Assume x>0.) Check by differentiating. 26x² 26x² In x dx

A:

Q: In 5 seconds, a carnival ride, having radius of 12 meters, travels 180 degre What is the distance,…

A:

Q: Answer each question part, showing your step by step workings to reach the conclusion. a) Simplify…

A: Note:-Since you asked multiple subparts , according to our policy we can solve only first three…

Q: Suppose ƒ(x) = (x − 1)(x − 5)³ + 10. Find the absolute extrema of f on each of the following…

A:

Q: Find parametric equations of the line that contains the point P(2, −2, 1) and intersects the line L:…

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: Test for convergence or divergence, using one of the tests listed below. 1 Σ(²8-045) n+8 n +9 n = 1…

A:

Q: d²x dt² d²y dt² (x(t), y(t)) = 4y + et = 4x - et

A:

Q: Find parametric equations of the line that contains the point P(-2, 1, -3) and intersects the line…

A:

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. a=1/₁6 = ² C…

A:

Q: Đạo hàm riêng cấp hai của hàm f(2, 3) =ln(22+3y) theo biến y là fyy (2, 3) theo bien y, xlà f, (x,…

A:

Q: 2. By changing to polar coordinate, evaluate (b) x³y d4, where R is the upper half of the annulus…

A:

Q: Find the sum of the complex numbers in the complex plane. (6) + (-1 + 5)

A: The given sum of complex numbers .We have to find the sum.

Q: The population, P, of a certain village from 1960 to 1980 can be calculated using the function P(t)=…

A:

Q: Evaluate the integral by changing the order of integration in an appropriate way. 1 1 In 6 SSS 05/20…

A: Given ;

Q: Decide whether or not the equation has a circle as its graph. If it does, give the center and the…

A: The given equation is .We have to identify the graph of the equation.

Q: Find the derivative of: 5e-8 sin (-2x²)

A:

Q: Find all local extreme values of f(x) = == 2 -x³ +9x² 36x + 100. 3 The FIRST local extreme value,…

A:

Q: 3. Drug effectiveness R as a function of drug concentration c can be modeled as c² 1+c²¹ R (c) = c≥…

A:

Q: Tell me about object sets.

A: We have to define Object sets.