gra Ốf j at point (b) Find the directional derivative of f at the point (0,–2) in the direction of (5,-12) (c) Find the maximum value of the directional derivative at the point (0,–2)

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

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Q: 5. Evaluate sin y - dy dx y

A:

Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: (a) [1.1] (b) [1.1] (c) [-0.1] (d) [-0.1] (e) [2.99] () [-2,99]

A: We have to find the value

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: 16) Rewrite the integral 10 3(1 – z/10) 7(1 – y/3 – z/10) dx dy dz in the order dz dy dx.

A: To rewrite the integral ∫010∫031-z10∫071-y3-z10 dx dy dz in the order dz dy dx

Q: 9-7 (d) xydzdydr

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: consider a function f (x) vihose derivative f"(x) is continuous as shown belowr. Graph of f'(x), NOT…

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Q: QI// Find the Area bounded by: x = -y2 and x =y-2

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Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: 10) Find T4(x), the degree 4 taylor polynomial of the function for f(x) = cos(5x) centred at c = 2n…

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Q: Give a formula for the nth positive even integer: Here is a theorem: 1+ 2+3 + ... + n п(n+1) n = Use…

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Q: Solve the following set of equations with LUdecomposition: 3x1 – 2x2 + x3 = -10 2x1 + 6х2 — 4хз — 44…

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Q: The amount of garbe, G produced by a city with population p is given by G = per week, andp is…

A: As per our guidelines, we can help you in solving only first problem, rest of the problems you have…

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: The evaluation of S S 3y³e*ydxdy is e - 1 O

A: Given: ∫01∫0y2 3y3exydxdy

Q: Find dy/dx: 1. y = J" cos t dt

A: Given

Q: What are the 4 cases of partial fraction decomposition?

A: What are the 4 cases of partial fraction decomposition?

Q: 4) A degree 3 polynomial function, P(x) has zeros x 2, x = 1, x = m and a leading coefficient of 1.…

A: Here, the polynomial P(x) is of degree 3 and has three zeros x=2,1 & m and the leading…

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

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Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

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Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

A:

Q: The one-to-one function h is defined below. 7ォー9 h(x)- %3D 4x +1 Find h(x), where h is the inverse…

A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined Range of a function…

Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

A:

Q: Find the general solution to the differential equation y''+5y'+6y=et

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Q: 1) Evaluate lim -12. 3 9-x2 -3 Show every step.

A: lim  (-12)*(-x - 3)*3/(9 -x2 ) x-> -3 here 0/0 form so we use law hospital rule diffrentiate…

Q: What is the area enclosed by the curve r = 2 cos 30? Answer is in square units. Use two (2) decimal…

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Q: n=5   Use taylor series to approxim. from the interval of: 0-1.5   e^(x^2)dx   Round to 4…

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Q: 19x + 50 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

A:

Q: a) 2 B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card…

A: Probability

Q: Find dy/dx: 1. y= "(*++ dx 3 y = ," (x* + )

A:

Q: 7. f(x) = x* - 4x³ +3x? +4x – 5 Domain: y Range: Rel. Maximum(s):. Rel. Minimum(s): End Behavior: As…

A: We have to find the graph, Domain, Range, relative maximum, relative minimum, End behaviour,…

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: No, i am not agree. If function is differentiable then it continuous , but not vice versa. For…

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

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Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 =

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Q: d Calculate r1(t) · r2(t)] and ri(t) × r2(t)] first by differentiating d dt dt the product directly…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

Q: Consider the following rectangular box. F a) Give a pair of equal vectors. b) Give a pair of…

A:

Q: Find the smallest value of x for which the series (x+ 124)" 2in(n) n 2 is conditionally convergent.…

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Q: Find dy/dx: rsinx 1. у %3D Sm* 3t2 dt

A: I am attaching image so that you understand each and every step.

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: Ginen the point P=(x,y) m @ - (a) find the distance ra/x²+y? the origin O = (0,0) to amol simplify r…

A: See the answer below

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: dy Use an appropriate technique to find dx from x? + y? = (2x² + 2y² – x)*.

A: We can solve this as follows:

Q: Find the vector

A: The vector r=<a,b> is written as, r(i)=ai+ bj