Use implicit differentiation to find dy dx 3 x3 - 21xy + y = 1 || dy dx

Q: Variable Separable (Solution Step) a. Put the equation into the standard form b. multiply both…

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Q: Calculate the successive average rates of change for the function, H(x)H(x) in the table below. xx…

A: Topic- Average rate of change  We are given values of function at certain points.

Q: The graph of y = m(x) is given below. Answer each of the questions below the graph. 10+ 11 -10 -9 -…

A: The graph is given

Q: Find the curvature K of the curve. K = r(t) = 4 cos 2πti + 4 sin 2πtj

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Q: Find the volume of the solid obtained by revolving the region in the first quadrant bounded by y =…

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Q: Why is a function called continuous even if it's discontinuous "not on its domain", shouldn't these…

A: Question: Why is a function called continuous even if it's discontinuous "not on its domain",…

Q: 5. Let f(x, y) = 3 xy³ x² + y6 (a) 0 (b) 1 (c) -1 (d) 1/2 (e) Does not exist. Find lim f(x,y). (x,y)…

A: The point (0,0) can be reached along so many different paths. If each path results in a different…

Q: Evaluate the integral: 14√²-49 TA dx (A) Which trig substitution is correct for this integral? O x =…

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Q: √(asinx-cos4x)² dx

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Q: (D) Use interval notation to indicate when the particle is moving in the positive direction. (If the…

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Q: Given: z = x² + xy², x = uv² + w³, y=u+ve™ Find when u = -2, v = 1, w=0 Əz Əv

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Q: Use the intermediate value theorem to find the value of c such that f(c) = M. f(x) = x² - x + 1 on…

A: This is question of calculus  here value of function we have to find. further calculation is given…

Q: using Part 1 of the Fundamental Theorem of Calculus. Enter the exact answer. Remember to include a…

A: We will find the required.

Q: Find the limits in a) through c) below for the function f(x) = O A. a) Select the correct choice…

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Q: Find approximate values for f' (x) at each of the x-values given in the following table. Use a…

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Q: If z = x² + xy, where x = uv² + w and y = u + ve", then: [80] u=2, v=-3, w=0

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Q: Use Euler's method with step size h = 0.1 to approximate the solution to the initial value problem…

A: Introduction: The Euler's method is a first-order numerical procedure for solving ordinary…

Q: 3. Assume that f(x) is continuous on [a, b] and x1, x2,...,n are arbitrary numbers taken from [a,…

A: The given data is: Assume that f(x) is continuous function on a,b and x1,x2,........xn arbitrary…

Q: The function s(t) describes the position of a particle moving along a coordinate line, where & is in…

A: The given data is: st=t4-162t2+6561, t>0 a) Find the velocity and acceleration function.

Q: In the integral x√1-x dx, do the choices √/1-x for u and xdx for dv work? Explain.

A: In the integral ∫x1-x dx, to determine whether the choices 1-x for u and x dx for dv work.

Q: The electrical charge at the point (x, y) is given by C(x, y) = 4x² + 5y² - 8xy. If an object moves…

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Q: Good day! I need help with my activity for today. Positive ratings will be given for a correct…

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Q: Let u =(3, 1). Find the component form and magnitude (length) of the vector 5u. The component form…

A: u=<3,-1>

Q: The integrating factor to the linear first order DE ty' + 2y=2sint O 0 1² Ot O e 2t O e¹

A: ty'+2y=2sintstandrad form of linear first order DE is dydx+p(x)y=q(x)integrating factor=e∫p(x)dx

Q: Find the equation of the line tangent to the graph of f(x)=2x2−3x−3 at x=1.

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Q: Find v u if v = 3i+ 4j and u = 2i +6j. A. 6i+24j OB. 5i+10j OC. 30 OD. - 18

A: Given query is to find indicated dot product.

Q: If z = sin(x/y) and x=ln(u) and y=v^3 , find the following partial derivatives using the chain…

A: z=sin(xy)x=lnuy=v3∂ ∂x(sinx)=cosx∂ ∂x(xn)=nxn-1

Q: Find the center and the radius of the sphere. x² + y² +z²-3x + 2z=0 The center of the sphere is (0…

A: The given equation of sphere is: x2+y2+z2-3x+2z=0 To find the center and the radius of the sphere.

Q: Question 9 Determine whether the DE has homogeneous coefficients. If so, find the implicit solution.…

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Q: Question 7 Find the solution to (ylnx) (lny) dx + dy=0. Ox(lnx-1) + In|lny |= C ○ xlnx-x= - In|lny…

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Q: The pressure P (in kilopascals), volume V (in liters) and temperature T (in kelvins) of a mole of an…

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Q: Question 6 Solve the DE. If (x) is the solution to the DE, find (-2) y'=xe}-x’; y(0) =0 0.675 -0.675…

A: To solve the DE. If ϕx is the solution to the DE, the to find ϕ-2. y'=xey-x2; y0=0

Q: For the function f(x) = -2x² + 3x -9, evaluate and fully simplify each of the following. == f(x + h)…

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Q: Determine whether the following curve uses arc length as a parameter. If not, find a description…

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Q: if f(x) = x sinx, then f'(x) = sin x + xcosx. show that there must be at least one value of in the…

A: The given function fx=x sin x and its derivative is f'x=sin x+x cosx. We have to show that at least…

Q: dy The general first order linear equation can be written in the standard form dt The equation ty' +…

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Q: Find the linear approximation of the f(x,y)= (x/x+y) at the point (1,4). Answer: f(x,y)=?

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Q: Find the horizontal and vertical asymptotes. 2x² +9 f(x) = x²_ -9 Find the horizontal asymptote(s).…

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Q: Find the exact value of cos60°.

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Q: Let f(x) = x+7 x +3 The domain is a E for mol . (Enter the domain as an interval. Use U for union…

A: f(x)=x+7x+3for domain x+3≠0

Q: If the function is never increasing or decreasing, enter NA in the associated response area.…

A: Given query is to find the interval where function is increasing and decreasing.

Q: Consider the integral Sx6 In(x) dx Applying the integration by parts technique, let u = ln(x) dv/dx…

A: Given: ∫x6ln(x)dx

Q: x² - 4x-45 Let f(x) = X-9 Find a) lim f(x), b) lim f(x), and c) lim f(x). X→9 x→0 X→-5 a) Select the…

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Q: Evaluate the following limits, if they exist. Where applicable, show all work. lim lim x²-3 lim…

A: As per our guidelines we are restricted to solve maximum 3 subparts of a problem.  Further please…

Q: Identify the best method to use to integrate each integral. basic antidifferentiation, IBS…

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Q: Find the point(s) on the surface z2=xy+1 which are closest to the point (4, 2, 0).

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Q: Use the table to evaluate the expression. X f(x) g(x) 1 2 3 2 3 1 3 5 5 4 1 6 5 6 2 1.0 6 3 4

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Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 5m (7x² - 6x) lim X→0 х

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Q: Let a₁ = 1 2 a,₂ = and b= 4 - 20 h For what value(s) of h is b in the plane spanned by a, and a₂?…

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Q: 1 X-4 (a) Find the derivative f' of f. f'(x) = Let f(x) = - (b) Find an equation of the tangent line…

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