Find equations of the normal and osculating planes of the curve of intersection of the parabolic cylinders x = y² and z = x2 at the point (1, 1, 1). normal plane osculating plane Need Help? Read It

Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

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A: construct an equation where the area under the curve is 1

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A: Graph

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Q: 17. (8.06)2/3

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Q: If C(x)= 17,000+600x - 2.8x² + 0.004x³ is the cost function and p(x) = 4,200- 7x is the demand…

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A: We need to convert the integral in terms of u only.

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Q: Solve the trigonometric equation for all values 0 < x < 5. tan ㅠ -X- 3 - √3=0

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) [ sin(10x) sin(cos(10x))…

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Q: 12-0 dt = + C

A: We know that the integral of x^n dx = x^(n+1)/(n+1)

Q: Find the first partial derivatives of the function. 4 f(x, y) = x² + 7xy5 X fx(x, y) = fy(x, y) =

A: Given f(x, y) = x4 + 7xy5

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Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

A: Give that marginal cost function C'x=0.0006x2-0.14x+25 and daily fixed cost is = $900

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A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…

Q: 10) The graph of h (x) is shown below. Find the average value of h (x) over the interval [0, 10].…

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Q: If f(x, y, z) = 3xy²z³ + arcsin(x√√z), find fxzy. [Hint: Which order of differentiation is easiest?]…

A: fx,y,z=3xy2z3+arcsinxz

Q: The equation (5)/(3)log_(4)(x)=9 can be written in the form x=2^(y) for some number y. What is y ?

A: We have to find the value of y. Conversion of log form to exponental formlogbm=x                 →…

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Q: Determine whether the given point (x,y) is on the unit circle. Nin 21 No OYes

A: This is question of calculus  here one point is given  we have to verify that this point is on unit…

Q: D. MEAN-VALUE THEOREM & ROLLE'S THEOREM Determine if Rolle's Theorem and the Mean Value Theorem is…

A: Note:- Since you asked multiple question , according to our policy we can solve only first question…

Q: Use the Shell Method to compute the volume of the solid obtained by rotating the region in the first…

A: Given functions are, y=x4 &amp; y=x4 about y-axis

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A: ∫7z3ezdz

Q: x+2, (41) Let g(x) = [*¸ ƒ(t)dt where ƒ(x) = { 1, -2≤x≤0 0<x< 1 4-3x, 1<x<2. (a) Find an expression…

A: Given: Graph of f:

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A: ∫exex+9dx

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A: We know that the formula int_a^b f(x) dx=-int_b^a f(x) dx

Q: A solid is formed by rotating the region in the xy-plane bounded by the curves y = 7x², x = 1 and…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: I need help with the one I got wrong

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Q: Evaluate the following indefinite integral. de = +0 ds +C

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Q: Consider the integral 9 3 1² ( 2²/2 + 5) dz dx X (a) Find the Riemann sum for this integral using…

A: Given integral  ∫59( 3x + 5 )dx

Q: Consider the following. r(t) = (7t)i + (4t − 3)j + 6tk, P(6, 1, 6) (a) Find the arc length function…

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Q: Find the component form of vector with initial point (-6, 2) and terminal point (7, -3). O v = (-8,…

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Q: Find the dot product of the vector pair. u = and v =

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Q: Refer to the figure. V 30° u 45° 15⁰ q 20° W Find the components of q = (91, 92).

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Q: The initial and terminal points of AB are given below. Write the vector in component form. A (-5, 2)…

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A: Given plane z=ex−y+4   and (3,3,5)

Q: Marginal Cost A division of Ditton Industries manufactures a deluxe toaster oven. Management has…

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Q: S x³ +1 x² + 1 - da

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Q: . Find the distance traveled by the object for the interval 0 ≤t≤ 5.

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Q: 10. Find the linear approximation of the function g(x) = √√/1 + x at a = 0 and use it to approximate…

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Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

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Q: Use the standard Maclaurin series for sin(x) and cos(x) to find the first three non-zero terms in…

A: We have, Maclaurim series for sin x and cos x

Q: əz дz Use implicit differentiation to find and Әх ду дz Әх дz ду = = II x2 - y2 + z² - 42 = 3

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