Q1): Find the point (x, y, z) that lines on the plane x + y + 2z = 4 that is near origin.

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

A: Solution:

Q: Determine the area, in square units, of the region bounded by f(x)=−7x3−4x2+2x−1 and…

A: To find the area bounded first find the intersection of f(x) and g(x)

Q: 3 B 3! - What is the second derivative of the function f(x) = xex ?

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Q: 4) The area under the curve defined by the positive function f (x) on the interval [2, 6] is known…

A: We are allow to solve first question only Thank you

Q: Q2: Fill the blank: 1) lim (1+)52 x48 4x 2) lim x.e-3x = X-80 3) (csch¯¹x³) = . dx 5x =...

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

A: We need to find dy/dx.

Q: 2 4. Find the length of arc of the curve x3 + y = 1 in the first quadrant from the point where x =…

A: Let's find arc length of given curve in first quadrant.

Q: Television Viewership The number of viewers of a television series introduced several years ago is…

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Q: Y=t-2√√x + X Find domin and ringe

A: In this question, we want to know the domain and range of the given function.

Q: Describe the transformation that can be applied to the parent function g(x) = e to obtain the graph…

A: Explanation of the answer is as follows

Q: Find the average value over the given interval. f(x)=x²+x-7; [0,14] The average value of f(x) = x² +…

A: We have to determine the average value

Q: 7,000e0.1x dx   Find a substitution to rewrite the integrand as 70,000eu du. u=     du =        dx…

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Q: Problem 1 Give a general solution of the differential equation y""+3y"=0. m

A: As per guidelines we have to solve one question Please repost other questions again

Q: Find the vector standard a Ā= (-3.4.5)

A: we know that if v=<a,b,c> then its standard form is v=ai^+bj^+ck^

Q: Use any method to determine whether the series converges or diverges. (k!) 8 (8k)! k=0 O The series…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. U = x-yz +y³

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Q: 2 4. Find the length of arc of the curve x3 + y3 = 1 in the first quadrant from the point where x =…

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Q: Find the locations and values of all relative extrema for the function with the graph below. Ay 10 Q…

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Q: Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x.…

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Q: Do not use calculators. Approximated decimals are not accepted. Let j=8 k= 3 Solve the equation:…

A: To solve: The equation log3x-9+k=2-log3x-1+k. Given: The value of k=3 Concept used;…

Q: 5. Select all that are true. ха хв xaxb = xa+b (xa)b = xab sin² 0 + cos² 0 = 1 √2 2 T √2

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Q: 0=yج - - لا

A: Follow the procedure given below.

Q: Y=t-2√√√x + X Find domin and ringe

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Q: Describe the difference between a discontinuity that is removable and a discontinuity that is…

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Q: 4) √₂° e¯*dx = 5) S- dx = 4x+5 x²+x-2

A: Given, ∫2∞ e-xdxLet I=∫2∞ e-xdxI=e-x-12∞I=-1ex2∞I=-1e∞--1e2I=-1∞--1e2I=0--1e2I=1e2Therefore∫2∞…

Q: 5. The probability that Stu doesn't do his homework is 3/4. The probability that his teacher…

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Q: 1. A 216-m² rectangular patch is to be enclosed by a fence and divided into two equal parts by…

A: To find the material needed.

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

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Q: the function. 4) ((x) = fx+3, for x>0 [x², for x ≤0

A: Given above function is x+3, for x>0x2, x≤0

Q: Consider the function below. ex f(x): 8 + ex (a) Find the vertical asymptote(s). (Enter your answers…

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Q: Solve the equation for x: log42 x + log42(x − 1) = 1. If a solution doesnt work, enter DNE. Make…

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Q: Use Newton's method to approximate a root of the equation 3x² + 7x² + 2 = 0 as follows. 1 Let x₁ = 3…

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Q: If y = √1 − x² sin¯¹x, prove that (1− x²) ¹ + xy = 1− x². dx

A: We can prove the given the result by differentiating the given function.

Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 6 71 [0 1 1] B= 1 0 2 If A =…

A: Follow the procedure given below.

Q: 5

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Q: -32 1 ย X

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Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

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Q: Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's…

A: Explanation of the answer is as follows

Q: 1. For the vectors v = and u = a. Find v-u b. Find ||v|| and ||u|| c. Find the angle between v and…

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Q: Q2. Find the angle between the vectors and .

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Q: 3. The trigonometric sin cos coscos O2 cos cos O2 sin sin expression sin (0+) is equal to + cos sin…

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Q: (-3², what values should "a" take to ge c. a> 3 d. a 0

A: Student has specifically asked for the solution to the Question-13. That is why answer to that…

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

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

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Q: Q7) Calculate AC. BC and (A + B)C. Also, verify that (A + B)C=AC + BC 0 6 7 [0 1 1] If A = -6 0 8,B=…

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Q: Effect of Luxury Tax on Consumption Government economists of a developing country determined that…

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Q: Consider the following function. Function f(x) = 8x4 - 6x³ - 165x² - 37x + 60 (a) Verify the given…

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Q: 1. Find when y = In (-²). dx Express your answer in a single fraction.

A: The given function,     y=lnx5-2x

Q: f(x)=4-x², y = 4, x = 2 Find the volume of the solid obtained by rotating the region A about the…

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