R: y = 2x +1,x+y=7,x = 8

Q: 27) Calculate AC, BC and (A + B)C. Also, verify that (A + B)C = AC + BC 0 6 71 ΓΟ 1 1] 2 If A = -6 0…

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Q: Please find the gradient of f(x, y) = ln(x² + xy²) at (2, 1)

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Q: te the function for the given values of 3) [-2x+5, for x < -1 f(x)=x²-4, for-1 ≤x<3 for x ≥3 12, (a)…

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Q: 6. If q p² p³ - 1 9² p2 µ³ – 1 1 = 0, show that pqr = 1. - 22

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Q: Evaluate the given integral by changing to polar coordinates. Sk (4x - y) dA, where R is the region…

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Q: Find dy du du dx dy when y and u are defined as follows. dx u = 3x - 9x² and y = √u

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Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* +5. Give the domain and range of…

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Q: Determine the area of the region bounded by the line y = 8x, y -axis and y=10. a. 25 sq. units b.…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function z = f(x, y)…

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Q: Use the graph to identify absolute maximum and absolute minimum values for the function on the…

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Q: The value of the following limit Lim (cos(x)) cou(x) is: A4

A: This question can be solved using the concept of limits.

Q: Let f (x) = log (x² - 2x) and g(x) = ²1. Which expression represents (fog)(x)? zlog (2²-27) log…

A: Given query is to find indicated function.

Q: 33. " +9y sin 2x; y(0) = 1, y' (0) = 0 34. y" + y = cos x; y (0) = 1, y'(0) = -1 35. y" - 2y + 2y =…

A: Given: y(3)-2y''+y'=1+xexAuxilliary equation: m3-2m2+m=0Therefore, m=0,1,1Complimentary…

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Q: Evaluate the 106 -20 (-7m+300)

A: We need to evaluate: ∑m=-20106-7m+300

Q: Sketch a graph f(x) = 2 sin [-2(x+1)]-3 for two cycles. ✔✔✔ 5. List 3 key points below. >

A: Concept:  The sine function's general form: y=Asin(Bx-C)+D Where A represents the amplitude Period:…

Q: Calculate the iterated integral. 1 '1 15 15(u - v)5 du dv

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Q: A bank pays continuous compounded interest. Sue deposits $100 in the account, and in 3 years she has…

A:

Q: For each function, determine whether it is a polynomial function. Function (a) v(x)=3x² +0.6x4 (b)…

A: polynomial can have constants (like 4), variables (like x or y) and exponents (like the 2 in y2),…

Q: 4) The area of the surface generated by revolving x= y²-1, 1≤ y≤ 2 about x-axis is S=...

A: To find the area S of the surface generated by revolving x=y2-1, 1≤y≤2 about the x‐axis.

Q: Write the equation for a cosecant function satisfying the given conditions. period: 5x; range: (-∞,…

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Q: 9. Find inverse Laplace: 1 es S

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Q: )) 5 = لا 5 1 2X e - ل6 لاو لا -

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Q: Evaluate the following integral by using Odd and Even Powers Method: y = [₁ cos5 (1x) dx

A: We will evaluate the given integral by using odd and even power method in the following step.

Q: Evaluate afa²-x² dx. a. - Q² b. a² O a b e C. d. a³ e. none of the choice

A: Solution is here

Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Given the function f(x) = 3x - 2, find and simplify the following values: f(a) = f(a+h) = =…

A: Given,  f(x)=3x-2

Q: The diagram below is a portion of a graph of a differentiable function f(x). In this graph, which of…

A: Given.

Q: Prakash is on a hiking trip. On the first section of the hike, he walks 5 km from the Hawk Campsite…

A: Given that Prakash walks 5 km from Hawk campsite(A) to the Condor Campsite(B).  Then, he turns and…

Q: 2x + y + z = 1. 7. Find the tangent vector r' (t) and unit tangent vector T(t) at the point with t =…

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Q: 4. Find an equation for the plane through (1, 3, 4), with normal vector . 5. Find parametric…

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Q: By using the unlimited coefficients method, choose the correct answer for this equation…

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Q: 10. Find s(t), the length of the curve r(t) = from time 0 to t. What is the speed s'(t) of an…

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Q: X xy of fr [²2/1/ ex None of the choices. The value of a. b. 0.07 c. 0.08 d. 0.05 0.06 e. dy dx is…

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Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

A: Solution:

Q: Reduce the rational expression to lowest terms. 2p² + 12p+16 2 4p²-4p-80 2p² +12p+16 4p²-4p-80

A: I am attaching image so that you understand each and every step.

Q: Below is the graph of y=e*. Transform it to make the graph of y=-e* +5. Give the domain and range of…

A: Given problem:- Graph of y = ex   Transform it to make the graph of y = - ex + 5   Give the domain…

Q: = 8* can be obtained from the graph of g(x) = 8 by one of the following The graph of the function…

A: We have f(x)=-8x and g(x)=8x So, f(x)=-g(x)

Q: Graph the rational function f(x)= ↑y K -12 -10 -6 -4 S -2 12- 10- 8+ 6+ 4 Y 2- -2- 4 -6- -8- -10-…

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Q: f(t)=16t²+361t+ 12 is the height (in feet) of a ball launched straight up t seconds after it is…

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) = 5sinh(y)

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Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: Find dy /dx for the following functions: -) y².cotx= [sin(x. y)]-¹ b) y = (lnx+x) tan x

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

A: Here we have to find the integral

Q: Verify Property 2 of the definition of a probability density function over the given interval. f(x)…

A: Given problem:- Verify Property 2 of the definition of a probability density function over the given…

Q: Find (dy/dx) for: tanh ¹(x y) + e(x+y) 5 cos(y)

A: We have to determine derivative

Q: Write an equation for a function that has a graph with the given characteristics. The shape of y=…

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Q: %VII. १:०. By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: The objective of the question is determine the "yc".

Q: Find dy du dy and when y and u are defined as follows. du dx dx y = 3u² + 6 and _u = x² + 2

A: