Use the Midpoint Rule with = 4 to approximate 0 tan x dx.

Q: Fundamental

A: We have to explain the Fundamental theorem of calculus

Q: Solve the initial value problem y"+y' - 56y = 0, y(0) = a, y′(0) = 48. Find a so that the solution…

A: Solve the given differential equation as following:-

Q: C. d. 2-x dx x (In 2-1) dx

A: Topic:- indefinite integration

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: 1. 6 2x² =dx 1 + x

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Q: lim (√n²+ n-n)

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Q: M8 K=1 K² +1

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Q: If it cost $10 to fill a gas tank in 1990, how much would it have cost to fill the same tank in…

A: Here we will calculate the price in 2000,

Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: =3. Let a = [2₁1,-1], 5o = [4₁-5, 3] and C-[-1,-2,5]. compute ax (b + c). Show full steps.

A: We have to solve given Questions.

Q: 50 40- 30 20 10- 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along…

A: Given the location of child is 60 meters along the shore line and 50 meters from the shore. The…

Q: A former plans to enclose a rectangular pasture adjacent to a river. To provide enough grass for the…

A: In this question we have to find the dimension which use the least amount of fencing.

Q: 14. Form a quadratic polynomial whose one zero is 8and product of the zeros is -56 15. If the zeros…

A: We have to find out quadratic polynomial

Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

A:

Q: 3. What will the flow rate be in milliliters per hour for vancomycin 1g/500 mL IV, if it is to be…

A: The given data is: What will the flow rate be in milliliter per hour for vancomycin lg/500 mL IV, if…

Q: A 100 ft wire is attached at it's end to the tops of two 50 ft poles that are positioned 90ft…

A: Concept: Catenary curve: A flexible hanging chain or cable is shaped like a curve in mathematics…

Q: d= d = but if (x, y, z) lies on the plane x + 2y + z = 9, then z = -x-2y+9 x-1 x-1 X = We can…

A: Here we have to find the shortest distance.

Q: 2 4-2² √√4-x²-2² z=0 x=-- -4-2² y=0 Z dydxdz ||

A: We can solve problem as follows

Q: Evaluate the following function at the specified values of the independent variable andsimplify the…

A: We will put all the values in f(x)

Q: Determine the angle between the following two planes: [1T/2A] 4x - 3y2z - 2 = 0 3x + 2y + 5z - 5 = 0

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Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: Suppose you needed $25,000 to maintain a particular standard of living in 1979. How much would you…

A:

Q: 1. An object starts from rest at point P(1, 2, 0) and moves with an acceleration of a(t) = 3 + 2k.…

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Q: Determine the Cartesian equation of the line passing through A(4, -2), which has 7=(5, 3) as its…

A:

Q: Temperature during an illness. The temperature of a person during an intestinal illness is given by…

A:

Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: 5. If 90° << 180° and cos=-, find cos 20. O 0-16 O-/ O 2600 25

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Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: es of a force funct joules 0 6 9 12 15 18 f(x) 9.6 9.1 8.5 8.3 7.8 7.5 7.2

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Q: 7. A company sells two models of a product. Suppose the profit equation is P(91,92)=−16.0 +598.8q₁…

A: We have to find the profit.

Q: 1. Evaluate the iterated integral. (a) */2 sin 8 IT 00 */2 asine (b) ² dr de 0 rcos 0 dr de 0

A: A.

Q: n. >()=x+5 t: 0/2 t 1 of 2 op)(x) = X S 8 E

A:

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: For the function f(x)=7*.9x , estimate f '(x) using h=.001 for the following three values. f '(.75)…

A: This is a differentiation problem

Q: identify open interval on which the function is increasing or decreasing. f(x)=sinx+2, 0<x<2pi

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Q: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

A: Determine the derivative of the following functions. y = 4x sin^-1 (3x-9)

Q: What does the following equation represent in R3 -7x+ 5y = 0 O Line O None of the others O Plane O…

A: Given equation represent 3 Dimensions or R^3

Q: True or False: We have Select one: True O False 2 x² dx > 2 x³ dx 3

A: We know that ∫abxn dx = xn+1n+1ab = bn+1n+1-an+1n+1  where n≠-1.

Q: 1 4. First, make a substitution and then use integration by parts to evaluate [Hint: Use the fact…

A:

Q: The annual inventory cost C for a manufacturer is given below, where Q is the order size when the…

A:

Q: (b) f(0) = (Type an integer or a decimal.) (c) f(1) = (Type an integer or a decimal.) (d) What are…

A:

Q: Use centered difference approximations to estimate the first and second derivatives of y = ex at x =…

A: The central difference for first and second derivative is calculated respectively,

Q: a) [ Show that the equation 6x + 6y-6z + 3x² + 3y² + 3z² = 18 represents a sphere, and find its…

A:

Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

A:

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: Assume x and y are functions of t. Evaluate dt y³ = 2x² +6: dx dt -=4, x= 1, y = 2 for the…

A: Please follow the next step.

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find the volume generated by rotating the region

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j O a cannot be determined O a is…

A:

Q: A wooden column has the form of a regular hexagon prism. Its base edge is 1 ft. and its height is…

A: Concept: Hexagonal prism: A prism with a hexagonal base and top is known as a hexagonal prism. There…

Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…