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Q: a) The rectangles in the graph below illustrate a Riemann sum for f(x) = 4 sin x on the interval [0,...

A: Given function is The first rectangle graph illustrates a left endpoint reimann sum

Q: (a) Va? – x² dx .2 - (Ъ) V1 – x² dx

A: (a) The given Integral is It can be written as

Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: Find the equation of the plane which contains the line ( 2 + t , 3 − t , 4 + 2 t )and the point ( 0 ...

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Q: dy Find if e = e" + sin(x2"). - dx

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Q: Evaluate the integral ∫csc4xdx.

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Q: iii. An equivalent form of the limit definition of integration is lim E-[F(xi)Ax¡]. What is Ax appro...

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Q: (a)What is the resistance of ten 275-Ω resistors connected in series? (b) In parallel?

A: Recall:

Q: Give an equation of the plane whose trace in the yz-plane has equation y = 6z, and in the xy-plane h...

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Q: The combined electrical resistance R of R1 and R2, connected in parallel, is given by the equation b...

A: Consider the expression

Q: A box has a square base of side x and height h. (a) Find the dimensions x, h for which the volume is...

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g usi...

A: For domain we have to see the x-axis. DOMAIN is (-3,3) For range we have to see the y-axis. RANGE is...

Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: If 10 < f(x) < 20, then | f(x)dr < 3

A: We integrate both sides with respect to x from 3 to 6

Q: x3 The surface area obtained by rotating the curve y = 12 1 +÷, 3<x<5 about the y-axis is

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Q: only 58

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Q: B. Use the definition of the derivative (the limit of a difference quotient} to find a formula in x ...

A: Given function : Using the definition of the derivative formula:

Q: Pretend u x v = (0, 3, 2). What is (6u + 3v) × u? A) (0, 18, 12) B) (0,0, 0) C) (0, –9, –6) D) (0, 9...

A: To find the value of the given cross vector.

Q: Find parametric equations for the line through Po = (3, –1, 1) perpendicular to the plane 8x + 5y – ...

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Q: 3n Let sn = e 6" be the nth partial sum of an. Select all that apply n = 1 Your answer: Ean= e n = 1

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Q: In exercises 57-60, find an equation of the tangent line to the graph of the equation at the given p...

A: Given equation

Q: Convert the above indefinite integrals in 1., 2., 3., and 4. into definite integralusing the interva...

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Q: Produce graphs of f that reveal all the importantaspects of the curve. Estimate the intervals of in...

A: The given function is

Q: Let f(t) be the piecewise linear function with domain 0 <t < 8 shown in the graph below (which is de...

A: Given the piecewise linear function f(t) with domain 0 to 8 So we are given with the graph of the d...

Q: 9. A water tank has the shape of an inverted circular cone with base radius 2m and height 4m . If wa...

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Q: 2 (2х + Зу + 5) dx) dy -1 У-2

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Q: Which of these describes a parametrized line perpendicular to the plane 3x + 2y + z = 15? A) (2 + 6t...

A: The direction ratio of the normal vector to the plane is (3, 2,1 ) So the perpendicular line to the ...

Q: Determine which of the following regions has an area equal to the given limit without evaluating the...

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Q: Find the point P on the graph of the function yY = /x closest to the point (11, 0) The x coordinate ...

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Q: find all values of theta, if theta is in the interval[0,360] and has the given function value. sin t...

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Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: Given Interval: [2, 6]

Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: Evaluate the indefinite integral ∫(3x2−6x+2cosx)dx.

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Q: Show work please

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Q: convert the indefinite integral into definate integral using the interval [0,1]

A: (c)

Q: If the sum of the squares of the lengths of two sides of a triangle equals the square of the length ...

A: Given that the sum of the squares of the lengths of two sides of a triangle equals the square of the...

Q: A point is moving along the graph of a given function such that dx/dt is 3 centimeters per second. F...

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Q: Find the critical points and the intervals on which the function f(x) = x* – 2x2, (x > 0) is increas...

A: For a critical point, we solve f'(x)=0

Q: Find the Riemann Sum for the function f(x)=5x−2 and the partition {1,3,6,7} using the sample points ...

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Q: find the present value of $30,000 due in 8 years at the given rate of interest. (round to the neares...

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Q: Find the derivative of the function. y = ln(ln x2)

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Q: A Norman window has the shape of a rectangle with a semi-circle on top; diameter of the semicircle e...

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Q: Solve the initial value problem dy/dx=2/x+1, y(0)=2.

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Q: Find the measure of the supplementary angles with measures 2x+2 and 3x +3

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