Use implicit differentiation to find the slope of the tangent line to the curve 9xy³ + Sxy=14 at (1,1) аху

Q: Question 1 [ a) Find the value(s) of y such that the vectors U₁ = and U₂ = are parallel. b) Find…

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Q: = x² + ²/4/ 3. Find the equations of the tangent plane and the normal line to z = x³ + at (1,2,2)

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Q: Find two functions f and g such that h (x) = (fog)(x). h(x)=√4x-1 Select a function for f(x) and a…

A: h(x) = (f*g)(x)  it means  h(x) = f(g(x)) we have to make it  h(x) = 4x -1

Q: 50 40- 30 20 10- 10 20 30 40 50 60 Cassidy is a lifeguard and spots a drowning child 60 meters along…

A: Given the location of child is 60 meters along the shore line and 50 meters from the shore. The…

Q: 1 S. dx 3 (2x 012

A: Consider I=∫1( e2x-9)32 dx

Q: A wooden column has the form of a regular hexagon prism. Its base edge is 1 ft. and its height is…

A: Concept: Hexagonal prism: A prism with a hexagonal base and top is known as a hexagonal prism. There…

Q: I need to solve the integral

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Q: a particle moves along a curve x = t^3+1, y=t^2, z=2t+5 , where t represents the time . its velocity…

A: Velocity is obtained by differentiating the position function

Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Rewrite as an exponential equation_ log₂ 27=3

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Q: 2. If F and G are differentiable functions such that F'(x) = G'(x), which of the following is true…

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Q: Find the general solution of the following differential equation. y" + 7y - 8y = 0 NOTE: Use c, and…

A: We have to find the general solution  of the differential equation.

Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: Find two functions fand g such that h(x) = (fog)(x) and f(x) + g(x) + x. h(x)=(x-3)² ƒ(x) = ¯ and…

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Q: lim (√n²+ n-n)

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Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

A: Please see the below picture for detailed solution.

Q: Find dy for y=5x^3+ 7*square root(7x)

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Q: INTEGRATION OF 1/1+TANX

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Q: Solve the initial value problem O y = 7cost + sint O y = e-cost + 7e-¹ sint ○ y = e¹¹ +7e="t ○ y =…

A: to solve the initial value problem.

Q: a = 6i + 4j + 8k and b = 9i – 6j + 12k. a) [ 3] Determine whether the vectors a and b are…

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Q: u. V. x + 3 2x³ - 8x S - dx x² dx (x − 1)(x² + 2x + 1)

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: 4 6. √√√√x³ = x²(3x² – 2x) dx -

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: Evaluate [cos² ydy a. 1/2y + 1/4sin2y + c c. 1/2y + 1/2sin2y + c b. 1/4y + 1/2sin2y + c d. 1/9y +…

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 550…

A: Solution of given question is written in below steps.

Q: Find the indicated derivative and simplify. 2x-3 2 x + 9x y' for y=- y'=0

A: To find the derivative.

Q: M8 K=1 K² +1

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Q: 1 - cos(40) 2

A: We have to simplify the expression  1 - cos4θ2.

Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: ABSENT STUDENT The formula A = 1000 x 2 models the population, A, of aphids in a field of potato…

A: Concept: The population is represented by A=1000×2t Here for the present population the value of t=0…

Q: 2 4-2² √√4-x²-2² z=0 x=-- -4-2² y=0 Z dydxdz ||

A: We can solve problem as follows

Q: Question [ a) b) + Evaluate Show all your work. 3 L₁x - Dv If then find f(x). c) (x - 1)√√x + 1dx Is…

A: Since you have posted multiple questions. As per guidelines we"ll solve only first first question.…

Q: Consider the model dP dt where P(t) represents the size of the population at time t. = 5P+ 10P²,…

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Q: If y, and y₂ are linearly independent solutions of ty" + 2y + tey = 0 and if W(y₁, y₂)(1) = 6, find…

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Q: x² + 2x x4 - 3x² - 4 S dx

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: 2. Solve the following differential equations using variation of parameters: (i) y" + 4y = 4 tan 2x,…

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Q: Part 3 of 5 f(-2) = Part 4 of 5 f(0) = 0 Part 5 of 5 f(4) = 0 X X X S S S

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Q: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

A: Find the equation of the tangent plane to z = ln(2x + y) at −1,3

Q: 1.4 = 0.9062 x Cos (1-√³x) dx = 0-6034 How?

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Q: Find the shortest distance, d, from the point (5, 0, -8) to the plane x + y + z = 8. d =

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Q: Find the sum of the following: 1) Σ=3 2 i (i -2)]

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Q: 6) Find the value of cot t if cos t = a) O b) O c) O 2 d) 0 1 Previous Page 6 of 8 Next -and T < t <…

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Q: 9/ Approximate the follwoing integrals using The Simpson's ruls @ 0-25 b (Cosx) dx -0-25 Š 0-5…

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Q: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

A: Find the specific function values f(x, y) = x^2 + xy^3 a)f(2, 3) b)f(−3, −2)

Q: True or False: The definite integral 2 Lux+ is equal to Select one: O True O False (x + 3e*)dx 2 2…

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Q: 0.10.9062cos (1-√√3x) d x 6 DL 11 2

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