For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

Q: Find an equation of the tangent plane to the surface 3x? + 2xy – 4z2 + 2x – 3y = 0 at the point P(0,…

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Q: Perform the indicated multiplication if possible. (Enter NONE in any unused answer blanks. If the…

A: We need to multiply the matrices : 4-2-3 455

Q: Consider A = ⟨0, 4, 2⟩ ,B =, ⟨6,−1, 0⟩ and C = ⟨3, 0, 1⟩. (a) Find the unit vector having the same…

A: Given vectors A=0 , 4 , 2B=6 , -1 , 0C=3 , 0, 1

Q: Find an equation of a plane containing the three points (-5, -4, -3). (-10, -3, -1), (-10, -2, 1) in…

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: A company produces two types of solar panels per year: x thousand of type A and y thousand of type…

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Q: Solve triangle ABC if a = 5 ft, b = 6 ft, and A = 35 degrees

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Q: ORegion hamded. by. S=-xrd 33-X=4

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Q: Consider the following lines 4:z=1,y-1=-4,2=1-3t 4:z=2s+1,y=1-3s,2=1 y+1 z-1 %3D %3D 3a 2a 3 Find…

A: Given:  L1: x=1, y-1=-t, z=1-3tL2: x=2s+1, y=1-3s, z=1 Direction vector of line L1 is 0, -1, -3…

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Best Publishing makes and sells dictionaries. They have a monthly fixed cost of $5,976 for rent,…

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Q: sin4x S V cos4x + 1 dx

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Q: Find the area of the triangle with vertices P(1, 3, –6), Q(0,0, 0) and R(4, 5, 1). NOTE: Enter the…

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Q: 12 d t°dt = Using Part I of the Fundamental Theorem of Calculus, evaluate: dr %3D

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Q: Consider the graph of f'(x) given below. At what value(s) of x does f(x) have a local minimum? If…

A: Consider the graph of f'(x)

Q: Given functions f and g are periodic. Identify whether the following functions are periodic. i. ii.…

A: Take the two examples of periodic functions and then solve.

Q: Part I х2-9 1. lim х>з х-3 х2+5х-6 2. lim X→1 х2—1

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Q: 2. Find the second degree Taylor polynomial of g(x) the value of –9.2. Express the estimated value…

A: The given function is: g(x)=1-3x3=(1-3x)13…

Q: In an insect colony, there are 290 insects after 6 days. If there were initially 80 insects, how…

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Q: Evaluate and write your answer in a + bi form. [3(cos 58° + i sin 58°)]* = Round to two decimal…

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Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: You have $7000 to invest for seven years. Which investment will provide the greater return:  5%…

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Q: 1 3. f(x) = x - 2 at x = 2 %3|

A: In this question we have to determine the function is continuous.

Q: Find the equation of the curve that passes through the point (5,4) if its slope is given by…

A: dydx=5x-2dy=5x-2dxIntegrate on both sides

Q: 2. a) Find lim g(x), lim g(x) and lim g(x) x→1- x→1+ x→1 b) Find f(1). c) Is g continuous at x = 1?…

A: Follow the procedure given below.

Q: 2х -1 dx 2 V3– x+x²

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Q: Find the distance between the parallel planes – 2x + y + z = 0 and 10г — 5у — 52 — 36 — 0. NOTE:…

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Q: Find the distance between the parallel planes – 2z + y + : = 0 and 10z – 5y – 52 – 36 = 0. NOTE:…

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Q: Find the second degree Taylor polynomial of g(x) = 1– 3x about 3, then use it to approx- imate the…

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Q: 12. Find all possible values of x such that In(x) + ln(x + 1) = In(2). If no such values of x exist,…

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Q: Use Lagrange multipliers to find the indicated extrema of f subject to two constraints, assuming…

A: Given :Max f(x, y, z) = xyzConstraints :  x + y + z=24, x-y+z=8To find : x, y and z are…

Q: graph y=cos(x) and the first three non zero terms of the maclaurin series for cos(x). Then write…

A: This question can be solved by applying the expansion of Maclaurin series.

Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: The temperature T (in "C) in a freezer as a function of timet (In hours) is given by the function…

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Q: evaluate the following integrals

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Q: Use OP at the right to find the length of DB. s0 6 cm The length of DB iscm. (Simplify your answer.…

A: Let's find.

Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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Q: 1. Which of the following is a function а. у%3D х2 — 5ху b. х2 — 5х + 4%3D у с. у? 3D х2 d. y? = 3x…

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Q: A motorcycle covers a distance of 48 km per litre of petrol consump- tion. The cost of petrol is…

A: According to given, Let us take 3 variables, m for milage= 48 c for cost of petrol per liter= 20.30…

Q: What is the slope of the line 0 = T? (Use decimal notation. Give your answer to three decimal…

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Q: Test the series for convergence or divergence. -1 sin? n n+ 37

A: Given

Q: O f (x) = -6 sin(3x + 1) cos(3x + 1)ecos"(3+1)

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Q: IM eries Which statement about the Divergence Test applies to this n=1 s converges by the Divergence…

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Q: S sin2xsecx dx

A: LetI=∫0πsin2xsecxdxI=∫0π2sin2xsecxdx+∫π2πsin2xsecxdxWe know that sin(2x)=2sin(x).cos(x)I=∫0π2secx·…

Q: Solve the system by using the inverse of the coefficient matrix. X+y+z =1 3x + 4y – z =1 2x - y-z =3…

A: Let A be the coefficient matrix of the system.So,A=11134-12-1-1AX=BX=A-1Bwhere X=xyz, B=113

Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: d,e,f

A: We will solve the limits.

Q: Find a plane through the points (-4,8,-8), (1,-5,-1), (-5,-1,5)

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Q: Mw.3 Find Ih arcon regian for the ollowwg Regian bomdel.by.y=x- Y= and S=2

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Q: 3. -1 1 2 3 4 5 6 7 +1

A: To approximate the area under the curve graphed below from x=2 to x=5 using a Left Endpoint…