How do you find the derivative of the quotient of two functions that are differentiable at a point?

Q: Find v ·u. • u. v = -7i +2j and u = 5i +5j O -45 O -35i + 10j O -25 O -2i + 7j

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Q: 1. A body at a temperature of 50°F is placed outdoors where the temperature is 100°F. If after 5 min...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: Evaluate the given integral by changing to polar coordinates: Sl. x²y dA, where D is the top half of...

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Q: Evaluate (*. | (a? + 5) 0. OR Evaluate dr using Simpso o 1+x2

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Q: Recycling Programs The commissioner of a particular city's recycling program assesses that the amoun...

A: for 2008 here t = 8 so put t = 8 in equation N(t) = (200,000)/(2.5 + 3e-0.5t) N(8) = (200,000)/(2.5 ...

Q: +o0 Consider the power series (* – 1)" log n n=2 (a) Show that the resulting series when x = 0 is co...

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Q: 2. f(х, у) 3 а? —гу + у? then ,is

A: Given: fx,y=x2-xy+y2   We know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 ...

Q: Given the curve y = x² – 2 and line x = y. 1. Compute the area bounded.  a. 3.2 sq. units b. 2.6 sq....

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Consider the following planes. -6x + y + z = 6 12x – 2y + 6z = 36 (a) Find the angle between the two...

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Q: Evaluate the given integral applying Chain Rule * S(V25 + x² ) 2x 2 (25+x²)v25+x² -+ c С. 2 (25-x²)v...

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Q: Find the derivative of the function at Po in the direction of u. 3x f(x, y) = tan -1 , P0(-2, 3), u ...

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Q: メ+4 dx x²+4

A: Given:       ∫x+4x2+4dx      =∫xx2+4+4x2+4dx Apply linearity:      =∫xx2+4dx+4∫1x2+4dx

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: (b) Oppositely directed to 6i – 4j + 2k. 6 i v = V56 2 k + V56 V56 (c) Same direction as the vector ...

A: Given problem:- Find unit vectors that satisfy the stated conditions. (b) Oppositely directed to 6i-...

Q: Find the area of the parallelogram that has u =i – 2j + k and v = 3j +k as adjacent sides. NOTE: Ent...

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Q: Using Logarithmic Differentiation, find given that dx dy -3 sec-(VT) y = 4* (log, x)sech x

A: This question can be solved using properties of logarithm.

Q: Consider the following. u = -9i - 4j - 2k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find...

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Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, ...

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Q: Find the tangent line approximation T to the graph of f at the given point. Then complete the table....

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Q: -1) п — 1 n n n=2

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Q: 11) Use implicit differentiation to find the slope of the tangent line to the curve at the specified...

A: We will find the slope of the tangent line of the given curve at the specified point.

Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 4j as a...

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Q: Find the volume of the solid generated the area in the Ist quadrant bounded by the curves y = 3x - x...

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Q: 4 20 Find f(5x)dx if f(x)dx = 3. Enter the exact answer. 4 f(5x)dx =

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Q: only, show which of the following vectors are perpe other. Give reasons for your answers. u = 5i – j...

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Q: (

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: 1. Use the Root Test to determine if the series en? n=1 (-1)"2* (2n2 – 1)n converges or diverges.

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

A: Given: P=1,3,-4Q=0,0,0R=4,6,1

Q: 1. Given x= 2t2+ 1, y= 3t : Find A = J ydx as a function of t by substituting for y and dx their val...

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Q: Pls solve using Integrating Factors Found by Formulas: xydx - (x^2 + 2y^2)dy = 0

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Q: Consider the parallelepiped with adjacent edges u = 8i + 7j + k v = i+j+ 2k w = i + 8j + 5k Find the...

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,...

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Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: We can find the dot product and other required answers as below.

Q: (3.x (За — 1)" 5" Vn +1 n=1

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Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

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Q: Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate...

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Q: J Arctan(x)dx xArctan(x) -In(1 + x²) + c

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Q: S sin(bx) sec(bx) tan(bx) dx

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Q: An inverted pyramid is being filled with water at a constant rate of 45 cubic centimeters per second...

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Q: O Find Hhe lme qr=sin'o when the elpe 3.)

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Q: Parametrize the line that passes through the point (1,2,3) parallel to the vector v = -3i + 7k.

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Q: Given arccos(r) = arccot(z²), solve for dz/dr

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Q: me: urse/Year/Section: Date: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan...

A: We are asked to find the derivatives of the following.

Q: cm/min

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Q: - 5.75 and has a focus at Write the equation of a parabola whose directrix is x = 0.25, 1).

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given ...

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Q: uation of the plane that contains the lin y = 5+3t, z =-1-4t

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