United Express, a national package delivery service, charges a base price for overnight delivery of packages weighing 1 pound or less and a surcharge for each additional pound (or fraction thereof). A customer is billed $20.75 for shipping a 4-pound package and $64.50 for a 29-pound package. Find the base price and the surcharge for each additional pound. The base price is $15.5. The surcharge for each additional pound is

Q: 5. r² = 1 2

A: According to the question, we can answer only first question and rest can be reposted.

Q: Situation 1 (items 43-44). For the beam and loading shown in Figure 2, determine the following: 44.…

A: We have to find the tension in cable BC.

Q: Sketch a graph of the function f(x) = - 2 sin(a)-1

A: Given: fx=-2sinπ2x-1

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A: First Order differential equation :                 Consider the differential equation…

Q: 28. Using the method of "First Principles" and showing all steps, determine the -3 2x-1 properly…

A:

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A: Use vector triangle inequality

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A: Need to write down the piecewise function.

Q: f sin²(x) cos²(x) dx

A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C

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A: We know that angle between two vectors a and b cos(θ)=a.b|a||b|

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

A:

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

A:

Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

A:

Q: Question 11 If sin(0) = 7 and is in the 3rd quadrant, find cos(0) cos(0) = Enter your answer as a…

A:

Q: f(x)=√√5x - 8 around the x-axis over the interval [2, 4].

A:

Q: Evaluate the function for the given values of x. h(x)= Part 1 of 5 h(-3)= Part 2 of 5 -5x+7 for x…

A: The given function,   hx=-5x+7for x≤-23x+2for -2&lt;x&lt;34for x≥3

Q: √2 3y 8-x²-y² ·SS S 0 0 x²+3y² 1. dzdxdy

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: Determine whether the integral is convergent or divergent. LA* +4 convergent O divergent dz

A:

Q: 3. Solve below definite integrals (a) [²3test d (b) ["* dt, 3tedt, ["¹ (c) In(x) -d.x,

A:

Q: What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

A: . What rate of interest compounded annually is the same as the rate of interest of 8% compounded…

Q: Let T be multiplication by the matrix A, find the rank and nullity of T. 1 1 3 A = 6 7 -4 58 rank…

A: We have to find the rank and nullity.

Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

A:

Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

A:

Q: Two functions fand g are defined in the figure below. (a) Domain of f (b) 3 Range of f 4 6 7 9…

A:

Q: iff has n derivatives at x = a. The n" degree Taylor polynomial is the nº partial sum of the Taylor…

A: Suppose f(x) has the Taylor series at x=a which is: ∑k=1∞fk(a)k!(x-a)k

Q: Evaluate 3 4 [*√v -√²+ = - = + 1 x x = [ 3 X4 15.125 -15.512 None of them 1.5215 15.215 15.512…

A: Application of integration

Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C

A: The objective of the question is evaluate the indefinite integral.

Q: Evaluate the first derivative of the implicit function: 4x+ 2xy + y². A. (4x+y)/(x+y) B.…

A:

Q: H.W: Evaluate the integral 1 1 SS 0 y 1. x² exy dxdy 2 2. 1 y 2² SS dxdy

A: To evaluate the following integral. 1 ∫01∫y1x2exy dx dy2 ∫12∫yy2 dx dy

Q: What is the average value between the curves f(x)=√x³ in the interval [419] of

A:

Q: plz provide answer for question asap

A: Please see the below picture for detailed solution.

Q: S: x²(In x) dx

A: We can find the integration as below.

Q: H.W: show that the equations are homogeneous and solve: 1. (x + y)dy + (x−y)dx=0

A:

Q: 2. (x² + y² + 1)dx + x(x − 2y)dy = 0

A:

Q: b) Find the value(s) of z such that the angle between the vectors U₁ = and U₂ = is equal to 30°.

A:

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A:

Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

A:

Q: Question 2 [ Given the equation -5x² + 30x - 5y² - 10y - 5z² - 90z = 21 a) Show that the given…

A:

Q: Which of the following is a unit vector parallel to the vector? Select one: 81, 81 81 3.0,- /> None…

A:

Q: n=1 n√n Q5: Find the area shared by the cardioid r = 1 + cos and the circle r = 3 cos 0. Graph the…

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

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A: Solution of given question is written in below steps.

Q: The distance from the point K(3, -2, 0) to the xy-plane is Select one: 3 -2

A: Find out the correct option.

Q: 3x²³-2x² + 3kx + 18 by x- 6 to be equal to zero, k must be equal to.

A: Use division