An Internet bookstore charges $20 shipping for orders under $100 but provides free shipping for orders of $100 or more. The cost C of an order is a function of the total price x of the books purchased, given by (x + 20 C(x) = |x if x < 100 if x ≥ 100 Find C(45), C(85), C(100), and C(105). C(45) = $ C(85) = $ C(100) = $ C(105) = $

Q: 1) An object moves from a point of origin 5 meters to the left. Describe the object's displacement…

A: An object moves from a point of origin 5 meters to the left. Describe the object's displacement and…

Q: Suppose f(x) = 2 + 8x². Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: Use the equations to find дz дх дz ду || || дz дх дz дх OF дх ƏF дz and and əz ду дz ду x2 - y2 + z²…

A: Given: ∂z∂x=-∂F∂x∂F∂z and ∂z∂y=-∂F∂y∂F∂zx2-y2+z2-8z=9 We are required to find: ∂z∂x and ∂z∂y

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Q: Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed.…

A: Since, we have to compute the dot product of the expression given below:-(3j+5k).(i-8j)=?

Q: 6) Find the area under the line y = 3 and above the curve y = sin x on the interval [0, π].

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Q: Use the following information for Problems 11-15: From its initial position of s(0) = -3, a particle…

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Q: Find the area of the parallelogram whose vertices are given below A(-1,4) B(4,0) C(9,3) D(4,7) The…

A: We have, A(-1,4) , B(4, 0) , C(9,3) , D(4, 7)

Q: 23. an n √n² +1

A: We take n common from the root and then apply limit to find the vale of limit.

Q: Evaluate the integral. (Use C for the constant of integration.) [In(√x) dx

A: Short Explanation::-

Q: (a) Differentiate the following functions with respect to t: (i) (ii) y = 4t-t² t-1 y = esint 2+2.5…

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

Q: 8 2k Σ k=1 k!

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Q: 1. 2. Find f'(x) and f"(x). Determine the following Domain a. b. x and y intercepts t. The critical…

A: derivative calculated by differentiation with respect to x

Q: Practice similar Help me with this First, note that we know how to integrate 7 dx = 1=²+4² 1² da 2 x…

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Q: 1,0 18

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: Find an equation of the line that contains the given pair of points. (-9,5), (-7,-5) The equation of…

A: We have to find the equation passing through two points.

Q: Use the chain rule to find the indicated partial derivatives. z = x² + x²y₁ x = s + 2t - u, y = stu²…

A: z=x4+x2y, x=s+2t-u, y=stu2 given s=1, t=3, u=5

Q: Suppose f(x) = 4x + 1. Determine, in a simplified form, each of the following: (a) f(a) = (b)…

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Q: A hot air balloon rising vertically is tracked by an observer located 2 miles from the lift-off…

A: dθdt=0.1 rad/min In ∆ABC…

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: olve question 2 please. Explain in an easy to understand way

A: Graph of f(x) is given . We have to find why the derivative of a sinusoidal function is also going…

Q: 3 Find the derivative of y=In (8x³-5x)

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Q: Evaluate the integral. 2x cos(9x) dx

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Q: Find the area of the triangle whose vertices are given below. A(-6,6) B(3,-2) C(11,-2) The area of…

A: Given: Triangle points:-  A(-6,6) B(3-2) C(11,-2)

Q: ) Based on your experience in parts (a) and (b), conjecture an antiderivative for each of the…

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Q: Given: (x is number of items) Demand function: d(x) = 352.8 -0.2x² Supply function: s(x) = 0.6x²…

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Q: Find a Cartesian equation relating and y corresponding to the parametric equations Write your answer…

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Q: 3. Compute the area bounded by the three leaf rose curve given by r(0)=5sin30. Compute the area…

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Q: Find the curvature of r(t) = (2t², In(t), t In(t)) at the point (2, 0, 0). K = Need Help? Read it

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Q: Compute 1. x²ex³dx.

A: ∫-∞0x2ex3dx

Q: Use the chain rule to find and, where First the pieces: дz ?х ?х дя ду Əs = дz Ət || = And putting…

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Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: -∞ x² et³dx.

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Q: Evaluate the integral. Lo 6π t² sin(2t) dt

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Q: Suppose that the marginal revenue for firefighting protective clothes is MR = 457 - 5x and the…

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Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: How do I use the chain rule to find the derivative of (y=(cosx+2sinx)8)? I know (cosx=1) and…

A: Chain Rule of differentiation: If y= f(u) and u=g(x) , then y=f(g(x)) , so then                 dydx…

Q: The growth of a colony of bacteria can be described by exponential growth. If the colony initially…

A: Pt=P0ert⇒P0=initial population⇒r=Growth rate⇒Pt=Population at time t⇒t=time in hours

Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: Use the graph of the function f shown to the right to find f(-4), f(-3), and f(-2). f(-4)= f(-3) =…

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Q: Second derivative of f(x) =2^x/x

A: To find the second derivative of the following function. fx=2xx

Q: Write the expression in standard form a +bi. Simplify your answer. 2 Cos A 78 + i sin ANSWER FORMAT…

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Q: Determine x = f(t) for dx (t² + 6t). dt = 6x + 6, t> 0; f(1) = 9.

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Sub a drinking cup…

A: Let’s solve this problem using calculus. Let’s say the radius of the cup is r and the height is h.…

Q: Find the derivative of f(x) = In (3+x") with no in final answer negative exponents

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Q: Evaluate the definite integral. [° ( Z - ²3/) dx J₁ X

A: ∫16x6-9xdx

Q: 1. For the function ƒ(x) = -x² + 4x + 1, (a) Calculate the average rate of change of the function at…

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Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

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Q: Let g(s) es (s³ + 4). 3 a) Find the equation of the tangent line to g at (0,4). y = | b) Find the…

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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