1. When is it speeding up? 2. When is it slowing Down? 3. When is it traveling at a constant speed?

Q: 2. Find the first order and second order partial derivatives of f(x,y) =x. Make sure to show your…

A: The given function is Note:-Since you asked parts 6 and 7 for the given problem but here in given…

Q: K Determine the following indefinite integral. dx S X√4-x16 S- dx 16 0- x√√4-x (Type an exact…

A:

Q: Use the method for solving equations of the form =G(ax + by) to solve the following differential…

A:

Q: If f(x) f'(x) = f'(4) = 3 sin z 3 + cos x then

A:

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: The graphs of the functions f and g are shown in the figure. y -1 Let u(x) = f(x)g(x) and v(x): =…

A: Given: Let  and To Find:

Q: Find the coordinates of the point (x, y, z) on the plane z = 3 x + 3 y + 3 which is closest to the…

A:

Q: 22. Vectors word bank. Fill in the blank to describe the best choice. linear combination a parameter…

A: Given vector word bank,linear combination, a parameter, coincident, the scalar form, the normal, the…

Q: Let f (u, v) be a differentiable function of u and v, where u = xy and v = x²-y². Suppose that…

A:

Q: Use any method to evaluate the integral. S- 22 dx (121x² + 1)²

A:

Q: Consider the function f(z)=z²-4z +3 on the interval [0, 4]. Verify that this function satisfies the…

A:

Q: 25. y = e sinx

A:

Q: A function f is defined below. Use geometric formulas to find f(x) √2, - X, = 4 frª FCX 6² x < 2 x ≥…

A: We have given,    Integrate f(x) dx from 0 to 4.    f(x)= 2 when x &lt; 2    f(x) = x when x&gt;=2 .

Q: Find the general solution to y" – 14y' + 49y = 0.

A:

Q: Let f(x) = g(x) h(x) and consider the following table of values: The value of f' (-9) is Number…

A:

Q: The view V, or distance in miles, that one can see to the horizon from a height h, in feet, is given…

A: The view V, or distance in miles, that one can see to the horizon from a height h, in feet, is given…

Q: 59. y = e sinx

A:

Q: If f(y) = cos-¹(3y¹), find f'(y). Use exact values. f'(y) = =

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

Q: if a list price is $10, what is the sale percentage of an item on sale for $8?

A: List price=$10Sale price=$8

Q: Assume that all variables are implicit functions of time t. Find the indicated rate. dy dt dy dt x²…

A: when,

Q: For the following exercise, assume that f(x) and g(x) are both differentiable functions of a with…

A:

Q: (f) The equations of the asymptotes (in increasing order). (c) I (a) 2 (d) N (f)x= y = (b) -2 (e) N…

A:

Q: (a) Find the equation of the plane p containing the point P (4, 3, 4) and with normal vector (2,…

A:

Q: dz дz Find the values of and at the given point. дх ду 2z³-4xy + 5yz + 2y³ - 35= 0, (3,3,1)

A:

Q: Find the projection of u and v u= v=

A: The projection of  u onto v The projection of v onto u Given vectors are

Q: Evaluate the integral. cos y dy S= sin y + 3 siny - 10 cos y dy S 2 sin y + 3 siny - 10 (Type an…

A:

Q: Find points. tangent line is horizontal f(x)=4x^2-2x+3

A:

Q: et f(x) x8(x-4)³ (x²+3)8 Use logarithmic differentiation to determine the derivative. ƒ'(x) =

A:

Q: 8. Determine whether the line and plane are parallel. If not, find the coordi- nates of the…

A:

Q: 1=6 | = X x + ₂ ht ₂ x 1 + x) dx + xydy = 0

A:

Q: The general term for the sequence 2, -6, 18, ... is

A: Given sequence is as follows From the sequence we can interpret as follows Given sequence is a…

Q: Find f. f(x) = f"(x) = cos(x), f(0) = 9, f'(0): = = 8, f "(0) = 6

A: Given,  f'''(x)=cosx, f(0)=9, f'(0)=8, f''(0)=6

Q: Find the first and second derivatives of f(x). Simplify your answer using positive fractional…

A: The given function is

Q: Determine whether the equation is exact. If it is, then solve it. 4t y dy + (4 In y + 9)dt = 0 A.…

A:

Q: Sketch the graph of a function f with the following properties: f is not continuous when x = 2 but…

A: The given conditionsf is not continuous when  but  exists f has a jump discontinuity when f is…

Q: e 0.5x 27. Consider the function: h(x) = a) Determine the properly simplified (factored) first…

A: The given function is

Q: dy' dx (6.) (i + cos x ) = X = 0 y = 1 sinx (sinx tsinxcosx -y) Answer: C=1/12/2

A:

Q: For the curve given by r(t) = (2 sin(t), -3t, -2 cos(t)), Find the unit tangent T(t) = ( Find the…

A:

Q: др Draw a dependency diagram, and write a chain rule formula for and əm up am = с. др др ди = am du…

A:

Q: B 4. z (x, y) is defined implicitly by the relation z²x - 2yz +xy² = 4. Find za, zy and Zaz in terms…

A:

Q: Find the long run behavior of each of the following functions. If the function goes to xo or -∞o…

A:

Q: Find the first and second derivatives of ƒ(z). Simplify your answer. 7 ƒ(x) = −3x7 P 2

A: Given,

Q: An object moves on a trajectory given by r(t)= for 0≤t≤π.

A: r(t)=&lt;10cos4t,10sin4t&gt;for0≤t≤π.

Q: 1. Let a=⟨0,1,−5⟩ and b=⟨4,0,1⟩. Compute: 3a+4b=⟨ _____,_____ ,______ ⟩ |a|= __________

A:

Q: Consider the integral 1² Estimate the integral using the Trapezoid rule and n=4 intervals. (x5 -…

A: Approximate the integral ∫−22(x5−10x3−1)dx with n=4 using the trapezoidal rule.

Q: Which of the following statements regarding the sequence 2, 4, 7, 11, 16, . . . is correct? • The…

A:

Q: y = (x + 2)² What are the transformations in B. show at least 5 pts, including the vertex. relative…

A:

Q: Find a linearization at a suitably chosen integer near a at which the given function and its…

A:

Q: cos(x) Find the derivative of cot(x) by using sin(x) the quotient rule on this form, and then…

A: Cotx=cosx/sinx

Q: A rectangle has a length of 6 inches and a width of 5 inches whose sides are changing. The length is…

A: A rectangle has a length of 6 inches and a width of 5 inches whose sides are changing. The length is…