Find f(x), if possible. f(x)= 8-3x 4x+1

Q: Consider the function (in the first quadrant) Find the centre of mass of the region of the shaded…

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Q: 1. Find the equation of the plane passing through P, and perpendicular to the line L₁. P(2,-1,3);…

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Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

A: Given equation of line is ⎩⎪⎨⎪⎧​x=2−ty=3tz=1+2t​ Also, the equation of plane is 2x−y+2z−9=0  We know…

Q: Evaluate the indefinite integral. 3x -dx +C

A: Step 1:​I=∫x4+13x​dxI=∫(x2)2+13x​dx​Step 2:​Substitute x2=u:Using the Power…

Q: Find the minimum value of f(x, y, z) = 2x² + 3y²+2z²-x+5y +Zz and -5x+4y-22=-3

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin h(x) = √(z) (cos(t³)…

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Q: Find the limits as x →co and as x→ co. (If the limit is infinite, enter 'co' or '-co', as…

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Q: Use the integral test to determine the convergence or divergence of the series. Be sure to check all…

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Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z)…

A: Step 1:The position vector is r=(x,y,z)Force is F(r)=∣r∣3Kr​AssumeK=30Step 2:Consider Fis a vector…

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A: (d)We need to analyze the information given about the original power series…

Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 400e-x² - 5y² - 922 where T is…

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Q: Question 1 (2 points) ✓ Saved Find the arclength of y = 4x + 2 from x = 0 to x = 4.

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Q: a⃗ =⟨−1,−4⟩ and b⃗ =⟨3,2⟩. Represent a⃗ −b⃗  using the head-to-tail method. Use the Vector tool to…

A: Part 2: ConclusionBy following the head-to-tail method, we represented the subtraction of vectors a⃗…

Q: Find the directional derivative of the function f(x,y) = In(x³ tys) at point (2,3) in the dir action…

A: Detailed explanation:Step 1: Compute the Gradient of  fThe gradient of  f is given…

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Q: A=5B- A B A+B =5, B = 2. The angle between A and B is 120. Determine A+ 5. B=2. Paragraph B BIUA/ U…

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Q: For the function g whose graph is given, state the following. (If the limit is infinite, enter '∞'…

A: Step 1: Explanation:The values can be found only by observation, mathematical calculation will not…

Q: A kids' organization is currently selling their candy bars for $4 each, and sold 600 bars last year.…

A: According to the given question, current selling price is $4 per candy bar and 600 bars were sold at…

Q: A tank contains 4,000 L of pure water. Brine that contains 25 g of salt per liter of water is pumped…

A: To find the concentration of salt after t minutes, we need to consider the amount of salt added to…

Q: PLS HELP ON ALL ASKED QUESTIONS PLS. THIS IS TRUE AND FALSE

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Q: 31. Match the Definitions (write the corresponding letter in the space provided) a) Coincident d)…

A: Collinear Vectors: Two or more given vectors lie along the same given line.Coplanar : lie in the…

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Q: 6. Decide looking at the partial fractional decomposition in (a) whether ff(x)dx converges.

A: Given function is ∫01​f(x)dx The objective is to find whether the given function is converges.…

Q: Calculus I  May I please have the solutions for the following questions, more importantly, the…

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Q: 6.22. Consider the differential equation y' = x(y + 1)². (a) Is this equation linear or non-linear?…

A: : (b)  Step…

Q: For the function g whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: Exercice 1: Sit = Devir Libre f(x) = x-3+x+3 3) Dobrowing fat thanking que I out police. a)…

A: Exercise 1:a) To find f'(x), we use the power rule and chain rule:f(x) = 2 - 3/√(x+3)f'(x) =…

Q: Score: 24/28 24/28 answered Question 26 7 csc² 0 Evaluate the integral de 9 4 cot 7 csc² 0 de 4 cot…

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A: Using the properties of triangle and derivative test it was found that the angle must be 60…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: To determine whether the sequence converges or diverges, and to find its limit if it converges, we…

Q: What u-substitution should be made in order to evaluate the following integral? I (3x² + 10) da u =…

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Q: DATE: NO. 1. Draw the indicated line. Through the origin, with direction numbers 1,2,3 2. Find Cos…

A: Step 1:1)To draw a line through the origin with direction numbers 1,2,3, we need to find two points…

Q: Taylor Series Homework

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Q: 3. Determine if the series is absolutely convergent, conditionally convergent, or divergent using…

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Q: 2. Determine whether the following series converge or diverge using the Ratio Test or Root Test. (6)…

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Q: to (1-553)³ (1+5) 8 (-2+52) 4 use De Morvre's theorem Express เก polar form

A: Step 1: first is to divide r1/r2. Step 2: second is to find theta sub 1 minus theta sub 2. Step 3:…

Q: What u-substitution should be made in order to evaluate the following integral? Ꮖ (3x² + 10) u = 4…

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Q: Use logarithmic differentiation to find the derivative of ONE of the following functions.…

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Q: (1,2) D (1.1) x+3y=7 (4.1)

A: Step 1: the distance between two points is d2=√((x2-x1)2+(y2-y1)2) Step 2: find the distance of all…

Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: 7) Expresa el cálculo combinado que te permite hallar su área y su perímetro. 5 cm 6 cm 4 cm 12 cm…

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A: 0To express f(x)=x2−2x−153x+1​ in the form x+aA​+x+bB​, we need to perform partial fraction…

Q: 1. Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t…

A: ### (a) r(t)=⟨t,2−t,2t⟩To understand the curve, we can look at the individual components:x = t y = 2…

Q: 12) The bearing from the Pine Knob fire tower to the Colt Station fire tower is 65° N of E, and the…

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Q: Assume that ex equals its Maclaurin series for all x. -5x4 Use the Maclaurin series for e to…

A: We know that the Maclaurin series for ex is given as :-…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Step 1:solution a)using given graph for values lim(x→2+)​f(x)=2solution b)lim(x→2−)​f(x)=2  (using…

Q: 3. The vectors Y and w have their bases. at the origin, (0,0), and hence may be fully. described by…

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