If 2 is a differentiable function of x and y satisfying the equation sın (x²z + y²) + 2x³=y2²+2, find the value of az at point (1,3,0). ах

Q: Which of the following are equivalent to asking "Find the derivative of f(x) = x² at x = 3"? (Select…

A: Topic- limits ,functions and derivatives we are given f(x)=x2 x=3 we know that slope of tangent line…

Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: 8. Consider the following sign diagrams relating to the graph of y = f(x) Sign diagram of f(x): +…

A: Given 1.   2.

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: . Find equations of the tangent lines to the curve x-1 x+1 that are parallel to the line x - 2y = 2.…

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Q: 2. Find the equation of the curve whose slope at any point *-2 and 3-y passes through (-1, 1).

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Q: Use E-N verification to prove that - →>>> O as n. Vn

A: the answer is in step 2

Q: A hazardous material was found to decay at a rate proportional to the amount present. Initially,…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored 3.…

A: y=(x^3-6x)(2-4x^3) apply product rule y=uv dydx=udvdx+vdudx

Q: 618 x 99 6182

A: using simple multiplication

Q: Solve (x² + y) dx + (y³ + x) dy = 0 O x^3/3 + xy + y^4/4 = c O x^3/3 - xy - y^4/4 = c O x^4/3 + xy +…

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Q: The weekly demand for Math Wars - A New Slope video games is given by p= 150 x-3 + 1500 where x is…

A: Given weekly demand functionp=150x-3+1500

Q: lim Y->+00 In (ett & +4e¯Y)

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Q: Find the normal and osculating planes of the given function at the point r (t) = (4t 1, t² +t,…

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Q: omplete the computation. 5, 7, 9) − (7i + 7j) = = |,

A: Given query is to subtract the vectors.

Q: limx→6(x+4)2(3x−2) Evaluate the limit , thank you

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Q: c) G(w) = √ W 1+3w

A: (c) The given function is: G(w)=w1+3w The quotient rule of the derivative says:…

Q: Acceleration of a Car The distance s (in feet) covered by a car t seconds after starting is given by…

A: Given that the distance s (in feet) covered by a car t seconds after startingis given by the…

Q: The differential equation (x²-y²) y'= 2xy is not an Exact D.E because the partial derivatives of…

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Q: 8. After p practice sessions, a student could perform a task in T (p) = 36(p + 1) 3 minutes. Find…

A: After p practice sessions, a student could perform a task in T(p) = 36(p+1)3 minutes We have to find…

Q: Consider the following functions. X f(x) g(x) = x + 1 Find (fog)(x). Find the domain of (fog)(x).…

A: The given functions are; f(x)=x/(x+1) and g(x)=1/x.

Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) =…

A: Understanding of function and how to calculate its derivative is required in order to solve this…

Q: The population of a town is increasing at a rate given by P'(t) = 420.0181 where P is the population…

A: The population of a town is increasing at a rate given by P't=42e0.018t, where P is the population t…

Q: II. Find the equation of the normal line to the curves at the point of tangency, if given. x²-4 x +1…

A: (2)   y=x2-4x+1   at     the   point   (0,-4). Quotient  Rule If f(x) and g(x) are differentiable,…

Q: Find the limit times x-6- (x-6) 2

A: Given problem:- limx→6-1x-62

Q: Find the dimensions of the rectangular dog park split into two pens (sharing a fence ) of the same…

A: Let's find dimensions.

Q: y = (2x5 + 7x)(2√x − 3)

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Q: [-1 -10e*+e* dx

A: Topic = Integration

Q: DERIVATIVE AS VELOCITY AND ACCELERATION Solve for the unknown/s 3. A particle moves horizontally…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find lim f(x) and lim f(x) for the given function and value of c. X→C+ X-C¯ |x + 111 f(x) = (x +…

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Q: 3. Determine the following limit (tabulate). sin (t-1) lim t1 t²+2t - 3 O-1/4 O ⁰ O None of the…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form…

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Q: What is the value of k so thate(x-1)=4e²³x-k? dx

A: givenddxek(kx-1)=4ek2x-k

Q: Find the general solution of y'=ysinx

A: Given, y'=y sin x

Q: 3 dx - (3xsiny + 2ysiny-2) dy=

A: Let's solve given differential equation.

Q: 2. Find dx/dy if y = √√√1+√x -4√√√√1+√T 4√√√1+√I

A: Given: So,      dydx=1+x'        =121+x1+x'        =121+x·12x        =14x1+x

Q: How does the x^4 and the 3x^3 become to 4x^3 + 9x^2. I understand how you got 4x^3 but not the 9x^2.…

A: We know, d/dx (m*xn)=mn(x)n-1 for any real numbers m,n

Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 3.…

A: =2SOLUTIONGiven data:-The equation on the given curve is y=7x-63…

Q: Find the function y = f(t) passing through the point (0, 10) with the given differential equation.…

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Q: 1. Given the algebraic function x² - xy + y² = 3 b. Find y 3xy - 3y (2y + x)² Option 1 3xy + 3y (2y…

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Q: y = 3x³-2 5x243

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Q: Given the demand equation x = 9+ 21 p' Elasticity of Demand = Therefore, demand is where p…

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Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: 2. (a) Let==1-i. (i) (ii) Plot the position of on an Argand Diagram. == Express in the form = = ae¹,…

A: solution

Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 8-x, x 6.

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Q: 4. y= 4-9x 4+9x

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Q: 0 = 0 zu - dx² ᎾzᏢ

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Q: 1. Find the equation of the tangent line to the given curves at point of tangency, if given. 2. y =…

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Q: 4. G(x) = n x3.4 -5me + p 5. F(x) = ax³ bx² + cx - d 6. f(x) = (3x + 1) (2x7 - x + 2)

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

Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

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