Evaluate the limit using the identity a³ — b³ = (a − b)(a² + ab + b²): lim x³-512 x-8 x→8

Q: 6x +4 10. Find lim x→→∞ √√4x²-x-5

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Q: 1) Derive the gradient descent approach for L₂ regularized linear regression. Specifically: E(c) =…

A: Given:L2 regularized linear regression J=1N∑(y-wx)2+λ∑w2 E(c) =(Ac-b)T(Ac-b)+lambda cTc

Q: Wouldnt the first equation be y=-4x+4 instead of y=-4x+2?

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Q: A closed rectangular container with a square base is to have a volume of 2304 in³. The material for…

A: The following formulas of derivatives has been used to solve this…

Q: The monthly profit from the sale of a product is given by P = 32x - 0.2x² - 150 dollars. (a) What…

A: We have given monthly profit  P=32x-0.2x2-150 Differentiating profit function with respect to x  P'…

Q: 5 Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

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Q: 2 (e^)² = e²x why rather than (e^)² = etz 2

A: To find the integral.

Q: Consider the function (a) (b) (c) f(x, y) = x² + y² Verify that f(x, y) has a minimum at (0,0). Find…

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Q: M(x,y) dx + (y³ + x2y + x) dy = 0

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Q: Find the volume of the solid generated by revolving the region bounded by the given equations about…

A: We need to find volume.

Q: a) Graph the function f(x)=2x² + 4x b) Draw the tangent lines to the graphi t the points whose…

A: Note: As per our guidelines we are supposed to answer only three subparts if there are multiple…

Q: Find f(a), f(a + h), and the difference quotient  f(a + h) − f(a) h,  where h ≠ 0. f(x) = 9 − 2x +…

A: Given function f(x) = 9 − 2x + 6x2

Q: Ny 10- 8- 6- 4- 2- y=h(x) 6 X 8 10

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 3 Find the area of the surface generated by revolving the curve x = 2 0 ≤ y ≤3, about the y-axis.

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Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

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Q: What is one plus one

A: ADD two number

Q: Disposable income is the amount left after taxes have been paid and is one measure of the health of…

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Q: 5.⁰0⁰ To determine whether the integral is divergent or convergent, do the following: 5e-da. Note…

A: a) find the value of ∫0b5e-xdx∫0b5e-xdx = ?

Q: Two events are non-mutually exclusive. If P(A) = 0.51 and P(B) = 0.34, what is the probability of…

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Q: lim sin4x / x x—>0

A: To evaluate the following limit. limx→0 sin4xx

Q: Find the magnitude of the torque exerted by F on the bolt at P if |PQ| = 6 in. and |F| = 24 lb. The…

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Q: 9-h² 2. lim h 3 h 3

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Q: Fill in the matrix in the equation below to find the line that passes through points (-2,-3) and…

A: given points is  (-2,-3)  and  (2,9)matrix form is detxy1x1y11x2y21=0

Q: Observe the ripples. When the rate of the area of the circle is constant, how is it related to the…

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Q: F(x) = 5x²-x+2 f(a+i)=

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Q: To develop strategies to manage water quality in polluted lakes, biologists must determine the…

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Q: Evaluate the indefinite integral. [x²e x²e³dx شور داریم و از

A: Our Aim is to evaluate the integral given below:-∫x2ex3 dx-(i)

Q: Consider the position function s(t) = -4.9t² +27t+16. Complete the following table with the…

A: A detailed solution is given below.

Q: cos²x-1 COS X = - tan x sin x

A: We have given equation to prove cos2x-1cosx=-tanx sinx Taking left side of the equation  LHS…

Q: In a binomial distribution, the value for 'q' is 0.14. Therefore, the value for 'p' is: 0.14 0.86…

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Q: Find the amplitude, the period in degrees, the phase shift in degrees, and the vertical shift. The…

A: A detailed solution is given below.

Q: each

A: We have to find its value according to the given information.

Q: If k(x)= 3 x - 729 X-9 X k(x) complete the table and use the results to find lim k(x). X-9 8.9 8.9…

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Q: Use continuity to evaluate the limit. lim sin(tan(cos(0))) 0 →3π/2

A: The given limit is limθ→3π2sintancosθ. We have to evaluate this limit.

Q: Let 1 f(x) x - 1 Use the limit definition of the derivative to find (i) ƒ'(−3) = (ii) ƒ'(0) = =…

A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: Let f(x) = 2x²-3x+1 2x² x-6 This function has: 1) A y intercept at the point 2) x intercepts at the…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: 4. Solve the following differential equation. (x³ + ²)dx + (y² + ln x)dy = 0 X

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Q: Using laws of logarithms, write the given expressions using sums and/or differences of logarithmic…

A: Formula used logx + logy = log( xy ) logx - logy = log( xy ) logxy = ylogx

Q: Find the following for the vectors v=3i - 2k and u = i +j+ k. a. v. u, |v|, |u| b. the cosine of the…

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Q: 2) Use the Fundamental Theorem of Calculus to evaluate the definite integral. Show all work clearly…

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Q: Find the arc length of the curve below on the given interval. 3 1/3 4 y= 2x5/3. - +7 on [1,8]

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Q: 7. Describe and sketch the surface in R³ represented by tion x + y = 2.

A: Given: x + y = 2

Q: ind the inverse function to y = f(x) = g(y) = = 4 - 6x 7 - 6x help (formulas

A: We are asked to find the inverse of the function

Q: Suppose a company has fixed costs of $36,000 and variable cost per unit of +222 dollars, where x is…

A: Given that fixed cost is $36000 and variable cost is 13x+222 dollar per unit.And selling price per…

Q: Use a CAS to plot the surface. Identify the type of quadric surface from your graph. 2 X 16 1= Z 25…

A: The surface is given as , x216-1=y225+z23 Plot the surface.

Q: Given the vectors v and u​, v = 11i + 2j − 10k and u = 5i + 12j. Find the dot product of v and u.…

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Q: Q₂: Find the general solution for the below differential equations (using undetermined coefficients…

A: A complete solution is given below.

Q: a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres (see figure below).…

A: (a) A pyramid has a height of 510 ft and its base covers an area of 15.0 acres.  The volume of a…

Q: 20 a 0 -20- ·O· 40 As the circle slides to the right at a constant rate, the instantaneous rate of…

A: Given that , The circle slides to the right at a constant rate.

Q: For the following differential equation determine the most general function M(x, y) or N(x, y) so…

A: Given :yexycosy-3dx+Nx,ydy=0