1. Consider the following vectors and answer the following questions. (6,0,4), = (2,1, -3) (a) (3 (b) ( (c) Find - . ) Find the angle between u and 7. Find ( x ) .

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

A: We have to find the left reimann sum and the right reimann sum.

Q: Find the absolute maximum and absolute minimum of f(x) = 2x³6x² - 48x + 95 on the interval [1,6].

A: f(x)=2x3−6x2−48x+95 on the interval [1,6]Using the power Ruleddxxn=nxn−1

Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: f(x) = = x²-7x-8 x-4 For each entry, enter a single number. First Number: The smallest x-intercept…

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Q: 2. A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

A: A rectangle ABCD is contained in the unit circle (circle centered at the origin with radius 1).…

Q: d'y Solve the following differential equation by Laplace transform metho dy +4 dt + 3y = e, given…

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Q: -2 -1 2+ 1 T 1 y=h(x) 2 True/False True or False: At every point where h'(c) is zero or does not…

A: To determine whether the following statement is true or false.At every point where  is zero or does…

Q: Find the Taylor polynomials of orders 0, 1, 2, and 3 generated by fat x = a. 1 f(x) = -— , a=3 X…

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Q: implicit differentation to find dy/dx use then dx²/da² 2y² = x² + 2x and

A: given equation To find:  and You have asking to find the

Q: The marginal cost for printing a paperback book at a small publishing company is C'(p) = $0.013 per…

A: Production Cost function is given by where c(p) = marginal cost function

Q: Use the Chain Rule to check that the derivative of d dx 5 2(4-x-)- = = 1 (ਜ) 5 d 2 dx 5 2(4 – x²)² d…

A: We have to find the derivative of the given function using chain rule.

Q: Transform the given system into a single equation of second-order x₁ = −5x₁ + 7x2 x₂ = -7x1 - 5x2.…

A: We have to transform the given system into a single equation of second order.

Q: 1. Use Newton's Method to find the third approximation - x3, for the root of f(x) = x³ - x²-1=0.…

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Q: 9. Which derivative does the limit lim h→0 (2+h)²2-4 Ih (A) f'(2) where f(x) = x² (B) f'(2) where…

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Q: Find the flux of the vector field F = out of the closed surface S bounded by z = 5-√√x² + y² and z =…

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Q: Prove that if g has an extremum value at x = c then f must have a tangent line parallel to the line…

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Q: Use Euler's Method to make a table of values for the approximate solution of the differential…

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Q: Problem 20.3: Evaluate the derivative of an inverse function at x = a The following function is…

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Q: The function f(x) = x² + 5 is Select one: Neither odd, even, nor periodic function an even function…

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Q: Approximate the area under the graph of f(x) = 0.05x -3.24x+87 over the interval [3,11] by dividing…

A: The given function is The left endpoint sum

Q: Question 3.1. Use integration by parts to solve the given indefinite integral and thus evaluate…

A: By using integration by parts to solve the given indefinite integral and thus to evaluate…

Q: 27. f(x) = 1 x² + 1 2 on [-1, 1)

A: Average value of f on [a,b]fave =1b−a∫abf(x)dx

Q: Use the Ratio Test to determine whether onvergent conditionally, or divergent. n=1 (−77)” n! is…

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Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

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Q: b) The rectangles in the graph below illustrate a right endpoint Riemann sum for f(x) = 4 sin x on…

A: We have to find the value of the given reimann sum.

Q: Compute JJJ³ 32² dV, where W is the solid sphere x² + y²+z² ≤4.

A: Computewhere  is the solid shpere

Q: Evaluate the integral by interpreting it in terms of areas. 1₁ ( 2 + √ 49-x²) dx

A: simplify the integral

Q: Why is multiplication and division of rational expressions easier to calculate than addition and…

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Q: Express the limit as a definite integral. [Hint: Consider f(x) = 8x5.] 72 lim 72+00 1 L' 0 Srdr ²8.…

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Q: Evaluate the integral: /9 - x² = dx (A) Which trig substitution is correct for this integral? 0x = 9…

A: Given indefinite integral is

Q: Find the orthogonal trajectories of the family of curves y² = kx³

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Q: Consider the region bounded by the graphs of x = 0, y = cos(x²), y = sin(x²), and x =

A: Region is bounded by x=0,y=cos⁡(x2),y=sin⁡(x2), and x=π2Rotating the region about y-axis.

Q: A) lim x²-x+1 5/3 x+2 3

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: f(x) = x2 + 2ax+ 2 si 4 si ba +1 si x≤-1 -1 <z <3 z≥ 3

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Q: 4. In this question we will consider the transformation given by the formulas and y = u-v. (a) What…

A: Changing of the independent variable.

Q: Complete the following steps for the given function, interval, and value of n. a. Sketch the graph…

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Q: While on Casey's computer, you notice that a model for a recent experiment is completed. The model…

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Q: Setermine if the se quence fa. } Converges or diverges of the sequence is convergent. Find the limit…

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Q: What is the slope of the tangent line to the curve 9+yey = 9x + ex at the point (1, 1) for the…

A: 9+yey=9x+ex at the point (1,1)

Q: 3 We want to sketch the function f(x) = 2 + Note that f'(z) = State the domain of f(z). Domain:…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: 2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all…

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Q: Use Newton's method to approximate a root of the equation 2x³ +5x + 1 = 0 as follows. Let x₁= 2 be…

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Q: Determine wheter the series diverges. if it converges, find its sum. n=1 4" +5" 6h Converges or

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Q: part b) why do you divide theta by 360?

A: Formula for area of sector of a circle is given by               Where

Q: PLEASE PLEASE HELP ME WITH THIS QUESTION, The x y-coordinate plane is given. The curve starts at the…

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Q: Write (x³ - 3x) dx as the limit of a Riemann sum with intervals of equal width and right endpoints…

A: The given integral is

Q: Find the area of the shaded region. ㅇ 쁨 38 3 이렇 이렇 (0, -3) y= (16,1) 3 16 x

A: we need to find the area of the function

Q: Show that the curve r= sin(0) tan() (called a cissoid of Diocles) has the line x = 1 as a vertical…

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Q: 6. Given the implicit curve, x² - In line at (1,1). In () = 1, Write the linear approximation L(x)…

A: The given implict equation is

Q: 2 f (sin-¹1) ² dn

A: