Find direction Vector a that has the same as (-6,5,67 but has length 4

Q: If x is divisible by 5 or y is divisible by 5, then xy is divisible by 5.

A: Let x is divisible by 5. Then x=5u for some natural number u.

Q: h response xk and input u = 8k is modelled by the difference e

A: Solution of the problem as follows

Q: The boxplot below shows salaries for Construction workers and Teachers. Construction Teacher 20 25 T…

A: Given,

Q: Guess the value of the following limit (if it exists) by evaluating the function at the given…

A: We have to evaluate the limit.

Q: The polynomial of degree 4, P(x) has a root of multiplicity 2 at x=4 and roots of multiplicity 1 at…

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Q: Find the maximum rate of change of f(x,y) = ye¯x + xe¯ at the point (x, y) = (0,0) and the direction…

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Q: Evaluate the integral. +∞ S 3 x 2xe dx

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Q: #8) Find the derivative of the function. y = sech(6x²)

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Calculate the integral, if it converges. If it diverges, enter diverges for your answer. 1₁-0 dv

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Find the general solution in the form y = yc + yp. y'' + 4y' + 5y = e-2tcost

A: y'' + 4y' + 5y = e-2tcost Find genral solution

Q: 2. Find a particular solution Y(t) of y"" - 2y" - v' + 2y = t

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Q: A car was valued at $44,000 in the year 1992. The value depreciated to $14,000 by the year 2004. Use…

A: Given data, Principal P=$44000 Amount A=$14000 Time t=2004-1992=12 years

Q: Given f(x) = 3√x + 2, find f'(x) using the Limit Definition of the Derivative. Doing this question…

A: Given that  f(x)= 3√(x+2) we find f'(x) using limit defination and without limits defination.   Here…

Q: 1. A rational function fis given. f(x) = (a) Find the x-intercepts (x, y). (b) Find the y-intercept…

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Q: 3π Find the area of the sector of a circle with diameter 36 feet and an angle of radians. 5 Round…

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Q: Find the length of the polar curve r = cos sin where 0 ≤ 0≤ π/4 3.11 2.11 2.22 1.11 None of these -

A: Concept: The length of the polar curve r is given by the formula  L=∫abr2+drdθ2dθ Where r is the…

Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

A:

Q: 6(x − 1)²

A: We need to find the derivatives of the following expression   Where, fx=6x-17   Useful formula÷…

Q: An open box is to be made from a 20-inch by 32-inch piece of cardboard by cutting out x-inch by…

A: Given :

Q: Use the four-step process to find the slope of the tangent line to the graph of the given function…

A:

Q: Find the partial derivatives of the function fz(x, y) fy(x, y) f(x, y) = 6x +9y 2x - 4y

A: The function is given by fx, y = 6x+9y2x-4y To determine: The expressions of the partial derivatives…

Q: a. Find f'(x) for: f(x) = (5x + 2)/(x^2 + 2x - 2) b. Find the derivative of the tangent line at x =…

A: Quotient Rule of Differentiation : ddx(uv) = v.dudx-u.dvdxv2.

Q: (a) Sketch the graph of a polynomial P(x) that has zeros of multiplicity 1 at x = 3, x=-3, and x = 5…

A: Given query is to find the graph of the polynomial.

Q: Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D = {(x, y): 0 ≤…

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Q: Find the degree 2 Taylor polynomial, P₂(x), for the function f(x) = (3x + 8)4/3 centered at x = 0.…

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Q: The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the…

A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: Suppose that the following equation defines y as a differentiable function of x: y = arctan(x²y).…

A: NOTE: Refresh your page if you can't see any equations. . take derivative use the derivative rule…

Q: 5 12 2. On the unit circle, if the point P 13'13 exact values of the 6 trigonometric ratios? lies on…

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Q: nd the equation of the tangent line to the curve y = (cotx) at x = 1.

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Q: SOLVE a, b, c, d, e, f, g, h, i, and j SOLVE THE FOLLOWING IN MS EXCEL USING GAUSS ELIMINATION DO…

A: Gaussian Elimination is one of the methods to solve a system of linear equations. In This Method we…

Q: Find and classify the critical points of f(x, y) = 2x²y - 4y² - 8y - 4.

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Q: MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the…

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Q: Compute the indicated derivative using the chain rule. y = u³, u = x - 2; dy dx = E dy dx

A: Given: y=u3, u=x-2.We need to find dydx.

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Evaluate the limit: lim,→ 1-tan x sin x-cos x

A: Topic- Limits We are given, limx→π41-tan xsin x -cos xWe know that,tan x=sin xcos xsinπ4=22cosπ4=22

Q: Make a sign diagram for the derivative of the rational function. 4x x² + 1 f(x) = ---Select--- v…

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Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for (a) lim X (b) lim X + +³7 - 32x…

A: Use limit concept

Q: Use the rational zeros theorem to list all possible rational zeros of the following.…

A: We need to find possible zeroes.

Q: Find the derivative of the following using logarithimic differentiation  *please use hand writing…

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Q: Use Laws of Logarithm to evaluate the expressions. (a) log3 (81) = (b) - log4 (16) = Use Laws of…

A: The give logarithm expressions, a) 14log381b) -12log416c) log3xyd) log29x2y3 We have simplify the…

Q: Find an equation of the tangent plane to the surface at the given point. x² + y² - 5z² = 108,…

A: Let's find equation of tangent plane to the surface at given point (-7,-8,1).

Q: Question 1 i) ii) iii) iv) Find the derivative of the following function using the first principle:…

A: i) f(t)=3t2+2t+1 Using the first principle: f'(t)=limh→0f(t+h_)-f(t)h…

Q: x³, -2<x≤0 -3x, 0≤x<2 2<x<4 x = 2 f(x)=√-3x, 8, 0

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Q: The Rational Function f(x) = = a. Write the Equation for the Horizontal Asymptote: b. Draw the…

A: Topic = Function

Q: x²y² Find the point on the paraboloid z = + that is closest to the point (3,0,0). 4 25 Hint: Let (x,…

A:

Q: A particular dam contains approximately 1,200,000,000,000 cubic feet of water. For a week-long spike…

A: Topic- Algebraic operations We are given, Amount of water in the dam= 1,200,000,000,000 cubic feet…

Q: 4. Given that a car's distance in feet east of an intersection t seconds since it started moving is…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: What is an upper bound for the error in 25 approximating (5x² + 3) dx using the trapezoidal rule…

A: We need to find the upper bound of the error