a if r =-1 if 1

Q: 1 e. Let A = and C = 2 -1 1 1 i. Find elementary matrices Eı and E2 such that C = E½E1A. ii. Show th...

A: A = 12-11   ; C = -1121We need to find elementary matrices, E1, E2.  -------------------------------...

Q: Find the derivative of y = sin 2

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Q: The wind-chill index is modeled by the function W = 13.12 + 0.62157 - 11.37v0.16 + 0,3965TV0.16 wher...

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Q: You are planning to make an open rectangular box from an 8-in.-by15-in. piece of cardboard by cuttin...

A: Given query is to find the dimensions of the box.

Q: (b) (i) Write in bracket notation the sequence for the number of points in the following sequence of...

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Q: 6. * S sin*x cos3 x dr sin x sin'x + C 7. C sin x sin'x 7. B sin5x cos'x + C sin x cos'x + C 7. O A ...

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Q: Tπ L2 sin3xdx Tπ 4

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Q: 4. f(x)= V2x'+3 5. f(x) = (2x + 5)*(4r* + 1) %3D

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Q: 1-4sect + sin² t (Ans: d tant dt cost - 4 cost(cost – 4)

A: Topic = Derivative

Q: x2 – 3x + 4 lim x-4 2x2 – x – 1 3

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Q: The height of a cone is decreasing at a constant rate of 3 centimeters per minute. The volume remain...

A: V=13πr2hSubstitute V=52 and r=6 into the above equation52=13π(6)2h h=52×336πh=133π cm

Q: Find the derivative of the function. h(s) = -27s2 + 9

A: topic  -  derivation 

Q: 6. у" — 2у' %3D 5

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Q: 2.3 Assume that the relation z +x*y° + tanh (2xz + 6x°y² - 26) 65 + 37y defines y = - implicitly as ...

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Q: Differentiate the following

A: Given y=x-1x+1 To differentiate given equation.

Q: interval leugth Y =9

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Q: f(x) = 1- (1/(x+2)^2)  find f(-x) and f(x+k)

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Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

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Q: verify the inverse function theorem of y=4x^2+4x+9

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Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: The graph to the right is a complete graph, that is, it is continuous and displays the function's en...

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Q: For the function h(x,y) = 7x + 4y find and 5ху - 8 ду

A: Given: hx,y=7x+4y5xy-8   We know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2

Q: Written Work Directions: Please write your solution on the space provided and boxed your final answe...

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Q: Find and sketch the domain of the function. f(x.y) = Vy - 4x - 8 Find the domain of the function. Ex...

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Q: Differentiate the functions

A: As per our guidelines we are supposed to answer only one question i.e. the question no 17. For the s...

Q: 1) Find the area of the region bounded by the curve y=3x•e-2* and the x-axis, for x>0. i) Rou imal

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Q: S cos(3z)sin1º(3z) dz A 1 (sin(3z))10 + C 3 C 1 (cos (3z))10 + C 3 -- 1 D 1 (cos (3z))'1 + C 33 (sin...

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Q: Find the derivative of the function. h(s) = -2/752 + 9 h'(s) : %3D

A: Given query is to find derivative of the expression.

Q: Identify u and dv for finding the integral using integration by parts. Do not integrate. dx u = dv =...

A: Topic = Integration

Q: y = 2x + 1 and y = 2x+ 14 a

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Q: Use the properties of logarithms to expand the following expression. log 00 Each logarithm should in...

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Q: For the function g whose graph is given below 구 2- 10 -9 -8 -7 -6 -5 -3-2 Determine the the limit of...

A: find the limit of function at given points.

Q: 7. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 and 6 if the digi...

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Q: Determine the equation of the parabola whose graph is given below. Write the equation in general for...

A: Solving the problem by finding the equation of the parabola.

Q: w.6 Fwe cars A +B move tersect at right angleftewards the intersection paint AL 25 mi/tr and 30 mi/h...

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Q: 3.1 (x+1) (x'+5x+2) ふeren ta ee

A: Topic = Derivative As per guidelines , At a time only one question can be answered.

Q: 10 •(x - )" Calculate the fourth term of

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: Find the radius of convergence of the power series. (If you need to use o or -00, enter INFINITY or ...

A: Solve by series 

Q: A cylinder object has radius 2 cm and height 3 cm. Use differentials to approximate the error estima...

A: cylinder volume 

Q: Solve for x. - 4x 16 = 13*-2 Write the exact answer using either base-10 or base-e logarithms.

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Q: Find the points on the plane r - y = 2 – z closest to the point (1, 1, 1).

A: We will find the closest point on the given plane as following.

Q: the derivatives of the following

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Q: If the given values in a right triangle are cos A = - and a = 2, find the hypotenuse 1 A. 2 B. 2/2 c...

A: We have given in right triangle CosA=13 and a=2 we need to find the hypotenuse c.

Q: Q3. Use Newton's method and find an approximation for the root of the following function accurate to...

A: Here, the given function is: f(x)=x4-3x2-3, p0=1 And, f'(x)=4x3-3(2x)-0=4x3-6x So, p1=p0-f(p0)f'(p0)...

Q: Find the derivatives of the following functions. 1. y = (4x - 5) ⁶

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Q: 1 A barge, whose deck is 10 ft below the level of a dock, is being drawn in by means of a cable atta...

A: Please refer to the image below

Q: s Two sider of a triangle have lengthsa:4 Cm b=3 Cm but are increasing at the rate of 1 c/see If the...

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Q: varies directly as the square of x and inversely as y. (z = 36 when x = 9 and y = 3.) 4x2 Зу 3x2 z =...

A: Topic = Algebra

Q: If dx =16, what is the value of a ? a Round your answer to two decimals. Write 'Diverges' if the int...

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Q: 7. Which of the following is a differential equation with homogeneous coefficient? (a) (y² – Vx² + y...

A: A differential equation of the formdydx=f(x, y)ϕ(x, y) is called a homogeneous equation if each term...