Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 6e-x 0.0 0.5 1.0 1.5 2.0 X Ⓡ

Q: Evaluate the following one-sided limit. lim 11-5 |z+5| z+5 Number

A: The limit:To find:the left hand limit of the function at x = -5.

Q: 1. Evaluate lim 818 x5 +999x4 + 453x² 3x5 + 13 Indicate the limit laws you use.

A: We have to find the limit value of the given question no.1.We divide numerator and denominator by…

Q: Find the value of constant c such that the function f is continuous on (-∞, ∞). C = Number f(x) = cx…

A: To find the value of constant  such that the function  is continuous on .

Q: Evaluate the integral. (Use C for the constant of integration.) [(1 + √/sin(t)) cos³(t) dt

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Q: +5t +1,y (1) = 1 dt Let y be the solution of the initial value problem. Find the value of y (27)…

A: given differential equation

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

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Q: A company makes 3 types of cable. Cable A requires 3 black wires, 3 white wires, and 2 red wires.…

A: Here we have a company which makes three types of cable namely A, B and C.Each cable requires three…

Q: 37. f(x) = 1 x ; a = 1 4

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Q: How. 2 Evaluate the following cartesian integrals changing them into equivalent Polar integrals:…

A: The given integral is:The aim of the problem is to evaluate the given cartesian integral by changing…

Q: If a is a vector such that ||a|| = 7, then what is a . a? √7 7 14 49 There's not enough information…

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Q: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

A: At noon, ship A is 180 km west of ship B. Ship A is sailing east at 40 km/h and ship B is sailing…

Q: The Seventh Gate As you approach the seventh gate, you notice that it is only a short distance to…

A: Given:: f(x)=√(2-58x)Find domain of f'(x).Since,d(√x)/dx=1/2√xTherefore,f'(x)=1/2√(2-58x) .…

Q: a. ſ x² √1-x² 2 dx

A: In multiple question i can answer only first question as per company guidelines, kindly post other…

Q: Use interval notation to indicate where is continuous. f is continuous on f(x) = x-6 (x − 3)(x + 5)

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Q: 16. y' = (1 − y) cos x, y(t) = 2

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Q: 5 4 3 2 1 I 1 y = f(x) I II B) lim f(x) = 2-7- 012 3 4 5 6 7 8 9 C) lim f(x) = z+2+ Enter each…

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Q: 7. Use the limit definition of derivatives to compute f'(x), where f(x) = √4x + 5.

A: We have to use this definition to find f'(x).

Q: Evaluate the limit of the indeterminate quotient. 1²_1-12 lim 2-4 2-4 Number

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Q: cot5 x csc ³ x dx | si S sin² x cos² x dx cos 7x cos 5x dx

A: To evaluating the following integrals.

Q: V= 0 z = x + y 64 x² + y² = first octant dy dx

A: To find:-The volume of solid bounded by  , ,first octant The graph of region in 2D

Q: K Find the point(s) on the graph of y = 2 x +5x-1 X where the slope is 3.

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Q: The limit represents the derivative of some function f at some number a. State such an f and lim h-0…

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Q: Find 7¹(t), given r(t) = = r' (t) = (-5 ln(5t), 5√√3t, -5e-5t).

A: Given vector is as follows

Q: Suppose f(x) = cos x. Without using the AROC formula or a calculator, find the average rate of…

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Q: The current population of a small town is 6211 people. It is believed that town's population is…

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

Q: If f(x) = (x² - 4x + 5)³, then ƒ'(x) = ƒ'(1) =

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Q: 2. Find the bounded area between the curves. Draw the region. y = x²(1-x)(2+x) y=x²+2x³x² - 2x

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Q: -3 A curve has for its third derivative equals to x If (1, -1) is a point of inflection of " the…

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Q: Consider the following function. Function f(x) = 8x4 - 6x³ - 101x2 - 21x + 36 (a) Verify the given…

A: and factors(x+3) , (x-4)

Q: Sketch the graph of the following function. f(x) = -e(1/4)x -10 D y 10 -10 5 10 square units X Find…

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Q: Using u-back substitution, fsin² x cot³ xdx will be transformed to to it. O S(1-u²) (u²) du 2-u² -du…

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Q: Evaluate the limit of the given indeterminate quotient. lim x→0 (√²+2-1). Number

A: given limit

Q: Find the quadratic function y = f(x) whose graph has a vertex (-5,3) and passes through the point…

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Q: The graph of a polynomial f(x) with integer zeros is shown in the figure to the right. Write its…

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Q: I sin¹¹1 x cos³ x dx

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Q: Find the unique solution of the second-order initial value problem. y'' + 4y' + 3y = 0, y(0) = 0,…

A: given differential equation

Q: Find the slope of the tangent line to the curve 4x² - xy - 3y³ = 200 at the point (1,-4).

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Q: Using rectangles each of whose height is given by the value of the function at the midpoint of the…

A: Given data :f(x) = Intervals given x = 4 and x = 8To find an area for two and four rectangles.

Q: Use the graph of f and g. p(x) = f(x)g(x) q(x) = f(x) g(x) y 10 8 6 4 2 f 09 g

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Q: Evaluate the following limit. lim (ln(t) + In(6t + 5) — ln(6t² – 5t+3)) t→∞0 Number

A: Given data

Q: ome selected values for this function (you don't have to use ALL of these numbers - just ick the…

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Q: Find T, N, and K for the plane curve r(t) = (10t + 1)i + (6-¹0) j

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x² +…

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Q: Evaluate the integral π/3 0 sin³ x cos² x dx

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Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) y 4 2 -2 -4 (c) lim…

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Q: Let F =i+x^2j, and let C be the boundary of the region {(x, y):x^2 + y^2 ≤ 1 and x ≥ 0}: the right…

A: To find the outward flux of the vector field  F=i+x2j across the boundary C of the region…

Q: Values of x and g(x) are given in the table below. 3.5 4 4.5 5 5.5 6 6.5 7 g(x) 4.2 5.2 5.8 6.2 6.8…

A: g'(x)=

Q: I am planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of​…

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Q: 2. Find y' and y" for both of the following functions. a) y = ex sinx b) y = tan x

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Q: 4. y' - 2xy = ex²

A: