Use an inverse matrix to solve the system consisting of the following equations. - 5x 3y-7 and 4x + 2y = 34

Q: Find the derivative of the function. f(x) = 2-3x-x2 x² - 4 f'(x) =

A: Consider the function

Q: Question: Find the equation of the tangent to y= xsin2x at the point (π/4 , π/4). Thks! Please…

A:

Q: A curve with polar equation r = 42 6 sin(0) + 31 cos(0) y = has Cartesian equation:

A: cartesian equation is y=7−631x​Explanation:Step 1:given that r=6sinθ+31cosθ42​using cross…

Q: 3. Verify sin(x) + cos(x) cot(x) = csc(x)

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Q: Find the Taylor polynomial of degree n = 4 approximating the function f(x) = 5ln(x²) for x near 1.…

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Q: Optimize the function f(x,y) = x^2+y^2 given the condition of x=y^2-5.

A: Answers are following in explanation step.Explanation:

Q: Precalculus Question (7)

A: The answers are as follows: 3. a. The complex conjugate of 1-2i is 1+2i. b. The complex conjugate of…

Q: dy dx = Let y = (3+ cos² x)8

A: please see the attached solution belowExplanation:I write all answers after simplification

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A: We calculate the time it takes for an investment to grow from $300 to $800 with continuous…

Q: [2] (a) fe In (x²) dx (b)²x² In(x) dx

A:

Q: 4.

A: The answers are as follows: a.   A=[−23​−21​​−1−21​​]. b.…

Q: Find the first four terms of the Taylor series for the function 2 tan(x) about x = П 4

A:

Q: Find the equation of normal to the function f(x)=x3−3x+1�Find the equation of normal to the function…

A: The objective of this question is to find the equation of the normal line to the given function f(x)…

Q: A calculator may not be used on the following questions. A particle moves in the xy-plane for values…

A: The value of t is 1.5, 2.5 and 3.5 only. Option a. is correct.Explanation:Steps and explanations are…

Q: Explain how to solve this question in steps.

A: f'(2) = 0Explanation:The first derivative represents the slope of the function's curve. By examining…

Q: The gradient function of a curve is f'(x) = 2kx +7. Given that f(0) = 6 and f(2) = 8, find the value…

A: The gradient of the function is given byThe initial conditions areTo determine: The value of .

Q: Find the equation of normal to the function f(x) = x³ - 3x + 1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: Let f(x) = 3x2+5x-10. Answer the following questions. 1. Find the average slope of the function f on…

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Q: A rectangle in the coordinate plane has its base along the x-axis and two vertices on the parabola…

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Q: Given vectors = (5,-3) and = (-3, -6); find 4u - 4v. 0 = (8,36) O v = (32, 12) O=(-12,-32)…

A: The objective of this question is to find the result of the operation 4u - 4v, where u and v are…

Q: show all steps please! thank you!

A: The slope of the tangent line at point (x,y) is given as

Q: Question 11 1b. Given the following graph of f(x), f(x), and f'(x), which colour is f(x)? -20 -10…

A: Following is the graphs of .To identify the graph of .

Q: use LaPlace transforms find solutions for dx/dt+3x=e^-2t, given that t=0 and x=5.

A:

Q: Annual sales of fountain pens in Littleville are 8,000 per year and are increasing by 9% per year.…

A: The annual sales of fountain pens are 8000 per year It is increasing at a rate of r=9%

Q: Growth of Bacteria Under a set of controlled laboratory conditions, the size of the population of a…

A: The size of the population of a certain bacteria culture at time t is described as, .

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: Question 2 please!

A: Dear student, kindly find below the answer to question 2 of your math assignment:Part 1: Answer:(a)…

Q: Determine whether the series converges or diverges. 00 en + 9 Σ nen + 9 n = 1 O converges O diverges

A: The objective of this question is to determine whether the given series Σ (n/(n + 9)) from n = 1 to…

Q: Find all local extrema using the second derivative test. Show all work for full credit. Make sure to…

A: Here two functions  are given.Need to find all the extrema using second derivative test.

Q: 4 4 Use the fact that the derivative of the function f(x) == x is f'(x)= to find the equation of the…

A: The equation of the tangent line to the graph of f(x) at the point x=-9 is y=81−4​x−98​Explanation:

Q: 9

A: volume=2π/5Explanation:

Q: Given vector = 5i + 10j, which of the following is a vector that is orthogonal to ?

A:

Q: Explain how to solve this question with steps.

A: All steps given below.  Explanation:

Q: A) determine the domain of the function B) determine the zeros of the function C) determine the…

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Q: The function f(x)=2x^3-27x^2+48x+8 has one local minimum and one local maximum. Use a graph of the…

A: Answer ....This function has a local minimum at x = 8 with output value  f(x)= -312and a local…

Q: Help

A: ​y=498x2​+3​Explanation:Step 1:​x(t)=7t​ (i)y(t)=8t+3 (ii)​Step 2:​From (ii)t=8y−3​Substitute value…

Q: 8

A: using washer method Volume=43π​  cubic unit Explanation:Step 1:Step 2: Step 3: Step 4:

Q: (BC Topic) (Technology Permitted) The area enclosed by the polar curve = 5-3cos O is Select one: a.…

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Q: Evaluate the following integral over the Region R. (Answer accurate to 2 decimal places). √ √ 9 ( 1…

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Q: Use the Product Rule to differentiate the function. f(x) = x² cos(x)

A: f(x)=x7cos⁡(x)f′(x)=ddx(x7cos⁡(x))Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

Q: Use complex numbers

A: 81a4−64b4=(3a+22​bi)(3a−22​bi)(3a+22​b)(3a−22​b)​Explanation:Step 1:​ Let A=81a4−64b4​Step…

Q: express with spherical coords, then evaluate. show all steps

A: 2π(3−3​)Explanation:To solve this, we can use spherical coordinates: x=rsinθcosϕ   y=rsinθsinϕ…

Q: (4) Find the equation of the plane tangent to the surface √√x²-yz = 1 at the point (3,2,4) Explain…

A: The answer is given below.Explanation:

Q: When scanning from left to right, on intervals where the graph rises, the first derivative is…

A: We have to determine the nature of first derivative when the function rises from left to right and…

Q: 13

A: Explanation is given below.Explanation: Please comment down for any doubts. I hope my answer helps…

Q: 5 Given that thet is an acute angle with tan(0) evaluate sin(20) - cos(20). 12 119 O 169 1 169 7 13…

A: The objective of this question is to evaluate the expression sin(2θ) - cos(2θ) given that tan(θ) =…

Q: Find the Taylor polynomial of degree n = 3 approximating the function f(x) = 3 sin x for x near πT 4…

A: Ans:Detailed answers in explanation please referAny confusion please ask in clarification will…

Q: A particle moves in the xy-plane so that its velocity for time 20 is given by the parametric…

A: A particle moves in the xy-plane so that its velocity for time  ia given by the parametric equations…

Q: 5

A: The required volume isV=2π(tan1−1)=3.5022Explanation:Given curves are:y=sec(x),y=1,x=−1,x=1 Step 1:…

Q: Find lim cot 2x 2-0 CSC X

A: