Given the points A: (-6,-4,2) and B: (3,-2,0), find the vector u = AB

Q: Q15 Find all non-zero derivatives of the following function: f(x) = 5x³ - 7x² + 9x - 1

A: Here we differentiate f(x) with respect to x until it becomes a constant

Q: Using the ratio test to determine the convergence or divergence of the series series. O Convergent…

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Q: At exactly two of the labeled points in the figure below, which shows a function f, the derivative…

A: Given graph:-

Q: 2) Sketch the graph of a continuous function y = f(x) that satisfies the following (Identify any…

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Q: Find the volume of the solid generated by revolving the shaded region about the x-axis. 6 X₁ = 1, X₂…

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Q: Determine if the series O O A n = 1 ² n2 +4 5 n2 + converges or diverges and choose the option that…

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Q: distance in between the point P(3, 1, 2) and the point Q(0, 4,

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Q: the answer is incorrect

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Q: Find the derivate of the functions a) F(x) = (7x²-9) (2x + 7) f'(x) = b) f(x) = 8x² - 2 8x +3 f'(x)…

A: To find derivatives

Q: Evaluate the integral. cos y dy 2 sin y + 3 siny-4 S

A: To evaluate∫cosysin2y+3siny-28dy

Q: Write the equation of the tangent line to the curve at the given point. x² + y² + 6x - 3y + 7 = 0 at…

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Q: Find an equation of the tangent line to the curve at the point (1, 1). In(xex6) y = y =

A: The given equation is;  y=ln(xex^6).

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given curves: y=x4, y=1 To find: Volume of solid obtained by rotating the region bounded by the…

Q: 4.4. Solve the equation ff(x) dx = sin x - 2 tan x + 7x HELP: Treat ff(x) dx as a variable and use…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the…

Q: B₂ (x₂3x₂ ) = 4x₁x₂ *1*2 0< x₂ <1 2 Y₁ = x₂₁² Y₂ = X₁ X/₂ Find the joint pdf for Y₁, Y₂ for 0<x< ₁…

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Q: In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand…

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Q: Find dy/dx at the given point without first solving for y. xy2 125 at (5, 5) d 11

A: The given equation is: xy2=125 Use the Power rule: ddxxn=nxn-1 The Product rule: f·g'=f'·g+f·g'

Q: TOPIC 4-5: L'Hôpital's Rule x²-25 x+∞5-4x-x² Q. #11 Please evaluate Lim a) Using L'Hôpital's Rule as…

A: L’hospital rule  limx— a f(x)/g(x)   = limx— a f’(x)/g’(x)   now find limit

Q: Find the components of the vector - 4c based on the vector shown.

A: The magnitude of the vector in x direction is represented by i component. The magnitude of the…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: After traversing your continuous path, you finally arrive at Gate 5. Your computer reads the gate's…

A: Given f( x ) = ( x4 - 2x ) g( x ) = ( x2 + 2x - 62 ) h( x ) = 2x - 13

Q: 9. 87 12 5 -

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 9 y 2 5 y-y-2 -dy =…

A: Integration

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Evaluate the limit using L'Hospital's rule if necessary lim (1 + 4) * I→∞

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Q: Integral e^x/9+e^2x=

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Q: Find the derivative of the function. y = In(3x²-x) + 4x

A: y=ln3x2-x+4xd dx(lnx)=1xd dx(xn)=nxn-1

Q: 5. Evaluate the limit: lim X+3 a. 0 b. 9 3x C. d. +00 -1 1

A: K=limx→3+3xx-3

Q: 15 sin ¹√2x dx = [

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Q: Find the linear approximation to the equation f(x, y) = 3₁1/ approximate f(4.14, 2.19) xy at the…

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Q: Consider the following equations. y = x, y=x²

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Q: Let f(x) = −9+ 6x-x³. Find the open intervals on which f is increasing (decreasing). Then determine…

A: The function is given by fx = -9+6x-x3 To determine: The interval of increase or decrease and the…

Q: Find the future value of the following ordinary annuity. Payments are made and interest is…

A: Given : Find the future value of the following ordinary annuity. Payments are made and interest is…

Q: Find the area enclosed by one leaf of the rose r= 10 cos (30)

A: area enclosed by one leaf of the rose r = 10 cos (3thita)   Formula :- cos2(x) = [1+cos(2x)]/2

Q: Let a = - 2ỉ - 4j – k and b = 4j + 2k. Find — ả + b. V

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Q: Evaluate the double integral. √ 9x (25+ y²)-¹dA; R R is the region in the first quadrant enclosed by…

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Q: h(x)=5.5x-3.42 The leading coefficient of the polynomial ​

A: We know that the leading term of polynomial is term that contain the highest power of variable.

Q: Some value of f(x) and f'(x) are given in the table. If no value is given, then you should assume…

A: Given Table:- x 4 5 6 f(x)   -3   f'(x) 1 ϕ 1

Q: d. f(x) = 3x4. 3x²-2 2x

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Q: The Third Gate You arrive at the third gate and look for the inscription. Your computer translates…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

Q: Assume that x and y are differentiable functions of t. For the following, find dx/dt given that x =…

A: given  x2+y2=136d dx(xn)=nxn-1d dx(constant)=0

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Expand the quotient by partial fractions. x² +5 X x2 - 5x + 6 2 x² +5 2 x -5x+6 (Simplify your…

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Q: A vector with magnitude 4 points in a direction 340 degrees counterclockwise from the positive x…

A: let vector =V given  magnitude=V=4and direction=θ=340°now Vector V=&lt;x,y&gt;=?…

Q: 2 Find the volume of the solid obtained by rotating the region bounded by y = x² , y = 0, and x = 3,…

A: we have to find the volume abouts y-axis

Q: Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and…

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Q: Determine an expression for the derivative of this function. (Do not simpli f(x) = (2x²-x)(√√x² - 1)

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Q: Using the ratio test to determine the convergence or divergence of the series series. Divergent The…

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Q: - Find the inflection points of f(x) = 2x¹ + 10r³ — 18r² + 7. (Give your answers as a comma…

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