Find a set of parametric equations of the line with the given characteristics. The line passes through the point (−4, 5, 2) and is parallel to the xy-plane and the yz-plane

Q: Find the derivative #39

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Q: f(x) - f(3) Find the difference quotient when f(x) = 5 + 2x - 4x2. Simplify the expression fully as ...

A: The given function is  fx=5+2x-4x2 Put x=3 in the given function f(x), then f3=5+23-432=5+6-36=-25 N...

Q: Where does the periodic function f(x) = 2esin (x/2) take on its extreme values and what are these va...

A: Consider the function:  fx=2esinx2 The given function will be maximum when sin(x/2) =1 because the m...

Q: Let sin t = a, cos t = b, and tan t = c. Write the expression tan(-t) - tan t in terms of a, b, and ...

A: Given that, sin t = a, cos t = b, and tan t = c  Then we have to find the value of the expression ta...

Q: s^2ds+2t(s+1)dt=0; s=0, t=1

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Q: Find the horizontal asymptote, if any, of the graph of the rational function. 14x h(x)%D 4x2 +9 Sele...

A: The given function is hx=14x34x2+9.  

Q: Find the lengths of the curves. If you have graphingsoftware, you may want to graph these curves to ...

A: Given curve is y=13x2+232. Compute the derivative. y'=13x2+232'=1332x2+2122x=xx2+212

Q: Matt purchased a new car for $30,000. The car depreciates approximately 12% of its value each yea co...

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Q: Does the graph of Y2 pass through the origin?

A: Do the graph of Y2 passes through the origin?

Q: Calculus Question

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Q: Use implicit differentiation to find dz/ðx and dz/ðy. sin(xyz) = x + 6y + 4z

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Q: Explain how to simplify the integrand of dx before x - 1 integrating.

A: we have to simplify the integrand before integrating ∫x+1x-1dx

Q: Find the domain of the function f(x) = √(x + 2)

A: The domain of function f(x) is the set of all values of x where the function value is defined.  

Q: Calculus Question

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Q: What is the property of the function and its inverse? Graph the two functions show that f[f-1(x)] =x...

A: Given: f(x)=1/2(x-1)

Q: Find the first partial derivatives of the function. w = In(x + 9y + 2z) aw dx dw ду dw dz Need Help?...

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Q: Letf(x) = 2x - 5g(x) = 4x - 1h(x) = x2 + x + 2.Evaluate the function (g ∘ f)(0) without finding an e...

A: Given: f(x)=2x-5g(x)=4x-1h(x)=x2+x+2 We have to find the value of (g∘f)(0).

Q: Find the local minimum and maximum values of the function    f (x) =  3x4  -4x3 -12 x 2  +5

A: Given function is fx=3x4-4x3-12x2+5. Compute the derivative. f'x=3x4-4x3-12x2+5'=12x3-12x2-24x Obtai...

Q: Express the sums in sigma notation. The form ofyour answer will depend on your choice for the starti...

A: Given: Sum 1 - 1/2 + 1/3 - 1/4 + 1/5  

Q: Determine the following limit or state that it does not exist. 4x-64 lim X-4 X-4 Simplify the expres...

A: Given, the limit is                         We have to evaluate the limit or state that it does not...

Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (x sinx...

A: (A) (1) Differentiate y w.r.t x using the quotient rule for differentiation. y=logxxsinx=logxsinxlog...

Q: Calculus Question

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Q: For which values of x does the graph of y=−sec(2x+π) equal 1?

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Q: For the curve C given by r(t) =< 5t,2 cos(t),2 sin(t) >, find:  (a) the unit tangent vector to...

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Q: Find the standard form of the equation of ellipse satisfying the given conditions as  Major axis hor...

A: It is given that an ellipse whose major axis is horizontal with length 8, length of minor axis is eq...

Q: A stone is thrown downward with a velocity of 44 feet per second (30 miles per​ hour) from a bridge ...

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Q: Find the indicated partial derivatives. TC f(x, y, z) = v sin²(x) + sin2(y) + sin2(z); f0, 0,

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Q: The graph shows the height h (in ft) of a roller coaster t seconds after the ride starts. Height vs....

A: We have given graph of a function in which height is given on y-axis and time is given on x-axs. (a)...

Q: The question is attached

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Q: 3. Use the Intersect Feature and your graphing calculator to determine the Horizontal Intercepts, if...

A: To find the horizontal intercepts , we find x intercepts of the graph of the given function  Graph t...

Q: Calculus Question

A: Given: a)   f(x)=x+7          if x<0ex         if 0≤x≤15-x         if x>1 b) f(-4)=3 and limx→...

Q: Need last 3 please

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Q: Find the average rate of change of the function over the given interval. Compare this average rate o...

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Q: find a potential function ƒ for the field F. F = ( y sin z)i + (x sin z)j + (xy cos z)k

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible out...

Q: Trigonometric limits Use Theorem 3.10 to evaluate the following limits.

A: Given that limθ→0cos2θ-1θ. Compute the limit as follows.  

Q: Calculate the derivative #65

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Q: Use implicit differentiation to find dz/ðx and dz/ðy. x² + 4y² + 3z² = 7 dz dy

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Q: Find the distance traveled by a particle with position (x, y) as t varies in the given time interval...

A: Differentiate x with respect t. dxdt=ddtcos2t=-2sin t cost  Differentiate y with respect to t. dydt=...

Q: Find the sum of infinite geometric series: 3 + 3/4 + 3/42 + 3/43 + ......

A: If a+ar+ar2+ar3+..... is an infinite geometric series with common ratio r and r<1. Then, sum of t...

Q: Find the indefinite integral. (Use c for the constant of integration.) (sin(t)i + j + e"k) dt

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Q: 囚a☆ Write an expression in factored form for the polynomial of least possible degree graphed below. ...

A: From the given Figure, it is observed that the graph of function is intersecting x-axis at x=-2, -1,...

Q: Find the limits by rewriting the fractions first.

A: Given that limx,y→2,2x+y≠4x+y-4x+y-2.

Q: Determine whether the following statements are true and give an explanation or counterexample. If ƒ ...

A: Given function f is constant function on the interval [a,b].  

Q: zoom for a better view

A: Given that $500 is deposited monthly for 10 years at  5 % per year in an account that containing $4,...

Q: A function f is given. f(x) = x2 + 8x + 7 (a) Use a graphing calculator to draw the graph of f. y y ...

A: The given function is x2+8x+7. The vertex of quadratic equation is h,k where h=-b2a and k=fh. Compar...

Q: number 2 please

A: Given,           ∫7xx2+14x+40 dx

Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: What is the domain o f the function ? I've attached a photo of the problem, thank you.

A: Given: Q(x)=x-93x3-9 To find: The domain and Why the function is continuous at every number in its d...

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.