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Q: Find the slope and the y-intercept (if possible) of the line y = 4x − 3

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Q: 38. Evaluate the integral dy + x³ dx for any closed path C.

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Q: 7-Calculu du dv d'u dx dx' dx d'v dx? Let u(x), v(x) be differentiable functions, where exist. Then ...

A: To check the given solution is true or false.

Q: match each equation with its graph. Do notuse a graphing device, and give reasons for your answer.

A: Equation of straight line is given bye y = mx + c, where m is the slope and c is the y intercept. If...

Q: State the Divergence Theorem.

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Q: calculate the integral.

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Q: (a) Find an equation of the tangent line to the curve y =tan(π x2/ 4)at the point (1, 1) .(b) Illust...

A: We find the derivative of the function using the chain rule then we plug x=1 to find the slope  

Q: A utility company burns coal to generate electricity. The cost C in dollars of removing p% of the ai...

A: a) Given p=50  

Q: Find d/dx y= 5x + 2

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Q: Find the explicit solution y = y(x) for the IVPy' =2x/(y + x2*y) ; y(0) = -2

A: Given equation an be written as

Q: using the first principle of differentiation, determine the derivative of g(x)

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Q: A biochemist is testing the effect of a new antibiotic on a particular bacteria growing in a petri d...

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Q: Graph the function y = x2 over the interval [-2, 2].

A: y=x2 We first make a table for the function x -2 -1 0 1 2 y 4 1 0 1 4  

Q: 1. Find the following products of complex numbers a. (2 + 3i)(4 – 2i) c. (-1 – 2i)(2 + i) b. (2 – i)...

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Q: 17. Integrate G(x, y, z) = xyz over the triangular surface with vertices (1, 0, 0), (0, 2, 0), and (...

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Q: Find the slopes of the tangent lines to the graph of f(x) = x2 + 1 at the points (0, 1) and (−1, 2),...

A: Given that slope at any point (c,f(c)) is m=2c  For (0,1) , c=0. So, m=2(0)=0         

Q: Compute the average value of the following function over the region R. f(x.y) = 4 e -Y; R= {(x,y): 0...

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Q: Find the limit

A: We have to find out the limit of given function Farmula used- (a-b) (a+b) = a^2-b^2 1-cos2x=sin2x

Q: Determine if the function f(x)=arctanx is convex downward or upward at the point x=1?

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Q: . For the function f whose graph is given, determine the following limits. Write oo or -0o where app...

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...

Q: 12. Suppose that f(x, y, z, w) = 0 and g(x, y, z, w) = 0 determine z and w as differentiable functio...

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Q: 1. Use suitable substitution to solve the following differential equations: dy (a) dr : = (x + y + 1...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Evaluate the integrals in Exercises 7. (x² + y² + z²) dz dy dx 0 J0

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Q: When converted to an iterated integral, the following double integral is easier to evaluate in one o...

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Q: Determine whether the following series converges or diverges. Show all necessary steps. 8. 7K +8k3-6...

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Q: (a) If the point (5,3) is on the graph of an even function,what other point must also be on the grap...

A: A function y=f(x) is an even function if f(-x)=f(x) (5,3) is on the function means f(5)=3        

Q: A heat-seeking particle has the property that at any point (x, y) in the plane it moves in the direc...

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Q: Find the derivative of the function

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Q: 6.3.      2

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Q: Calculate the point on the surface z =1 - x2 - y2 that has a maximum value for the sum of its coordi...

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Q: If F(x) = f(xf(xf(x))), where f(1) = 2, f(2) = 3, f'(1) = 4, f'(2) = 5, and f'(3) = 6, find F'(1). %...

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Q: Vx² - 2x + 3 dx

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Q: Find dy/dx by implicit differentiation   y Cos x = 1+ Sin(x y)

A: We need to find dy/dx by implicit differentiation Without wasting any time, we will differentiate bo...

Q: Show that f is linear of slope m if and only if f(x + h) - f(x) = mh (for all x and h)That is to say...

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Q: Find a formula for each function graphed in Exercises

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Q: Find y′′, if y=xx.

A: Take ln on both sides and then differentiate  

Q: Find the limit

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Q: A particle moves on a trajectory described by the parametric equations x(t)=2t, y(t)=8t, t≥0. What i...

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Q: Complete the square to write the equation of the circle in standard form. Then graph the circle. x2 ...

A: Consider the given equation.  

Q: What is the answer

A: We rationalize the numerator   

Q: 6.3.      3

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Q: Is ƒ continuous at x = 2?

A: From the graph, we see that there is an open circle at x=2  This means the function is not continuou...

Q: Find the derivative of the function

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Q: Find the asymptotes of the curve given in polar coordinates:ρ=atanφ.

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Q: 400lb·ft to kN·m.

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Q: Find y′′, if y=e−x-2.

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Q: How can you change a double integral in rectangular coordi-nates into a double integral in polar coo...

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Q: Divide numerator and denominator by the highest power of x in thedenominator and proceed from there....

A: We divide the numerator and denominator by x2  

Q: Estimate the slope of the graph at the points (x1, y1) and (x2, y2)

A: The tangent through (x1,y1) also passes through (-3,0) and (0,2)  So the slope of the line is: