Q5: If y= tant and x = cost then at t= is (not that these functions in N) dx a) -1 b)0 c) d) I e) others

Q: Compute the required operations: a. 4a-2b

A: Take dot product of vector

Q: Calculate the are bounded by the curves: B. y = ln x and x - y - 4 = 0

A: Here we get help of graph to find the point of intersection of the given curves.  Area bounded by…

Q: Evaluate the integrals. x√√1-x² dx a. x X b. I si sin5 -cos-dx 3 3

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Q: Find the vector, parametric, and symmetric equa lines: (a) the line perpendicular to x+7_y-4 with 3…

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Q: In economics, the most economical quantity Q of goods (TVs, dresses, gallons of paint, etc.) for a…

A: Given Q=f(K,M,h)=2KM/hTo find f(240,750,1)=?

Q: ! Q/ if A=(2, -4, 6) and B=(4,-2,5) Find the unit vector of AB UAB 2i + 2j - k √5 2i + 2j-k √5 خیار…

A: We have to find unit vector from given points.

Q: An invoice dated January 15th , in the amount of $12,500 has the following terms: 2/10, n/30.  This…

A: topic- discount calculation term 2/10 signifies if amount is paid with in 10 days,2% discount will…

Q: The graph below shows a function f(x). Determine whether each of the following integrals would be…

A: We want to know the area of the given graph is positive or negative on the given intervals.

Q: Consider the following integral. fx²√³+1 dx Identify the definite integral that will result after…

A: topic- indefinite integral

Q: Suppose F(4)=-4, f(x)cos F(x) dz F(5)= 3, and F'(x) = f(x). 3 cos (3) +4 cos(4)

A: We can evaluate the given integral by using the substitution u= F(x).

Q: a) The law of Cosines Given: a = 55 b=25 c = 72 Find: A-? B-? C-?

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Q: he sum of one number and four times the second is 24. Their product ust be as large as possible.…

A:

Q: Consider the differential equation y' = y² where y is considered to be a function of . 1 In this…

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Q: Let D be the region enclosed by y = sin(x), y = cos(x), x = 0 and = . The volume of the solid formed…

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Q: 3πt -? What is the value of Sin 4 2. What is the value of Tan 3

A: Given sin3π4            ⇒sin3π4=22=0.707

Q: Yolanda, whose regular rate of pay is $12.90, with time and a half for overtime, worked 48.25 hours…

A: Generally, a work week is 5 days long and has 40 hours i.e. 8 hrs per day at standard.  So 8.25 hrs…

Q: A bus service carries 10 000 people daily between Ajax and Union Station. and the company has space…

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Q: Homework Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule.…

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Q: Solve the equation using Exponential Shift (D² - 2D + 2) y = 12x³e²x O y = e (c! COSx + c2 sinx) +…

A: Answer is given.

Q: What is the average rate of change of f(x) from x₁ = -8.2 to x₂ = 2.8? Please write your answer…

A: Follow the procedure given below.

Q: (Q3:- prove the Cose =(A.B/AB Q4:- Find the angle between along diagonal and an adjacent face…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 1. Use the separation of variables method to find the solution of the first-order separable…

A: To solve the given differential equation.

Q: Given plane z: 3x+2y+z-3=0, point P(1, -2, 3), and lines 1₁:an 4₂: (3, 6,-5)+(2, 3, 1), find: d) the…

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t= 1 is (not that x is…

A:

Q: You are building a cylindrical barrel in which to put Dr. Brent so you can float him over Niagara…

A: Given problem:- You are building a cylindrical barrel in which to put Dr. Brent so you can float him…

Q: 5. 6. (log4(x²) dx x (log4 x)² ORA dx

A: We have to evaluate integral

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A: Follow the procedure given below.

Q: 8 kg/m, where x is measured in meters from one end of the rod. √x+1 The linear density p in a rod 3…

A:

Q: Use multiple application of simpson's 1/3 rule to numerically in- tegrate: f(x) = 8 + 5 sin (x) 0 to…

A: We need to use Simpson's one third rule.

Q: Find the exact interest on a loan of $7500 at 13% annually made on July 17 and due November 30.…

A: Given that we need to find the interest on a loan for following interest rate and on time.

Q: If Arnold earns a salary of $18,564 a year and is paid biweekly, how much is his gross pay per…

A: Here is the solution

Q: x = y² - 2y and x = 4y - y²

A: The given curves are; x=y2-2y and x=4y-y2 Now find the point of intersection between the given…

Q: Find the function that passes through the point (1,2) and whose derivative is dy/dx = (2/x^3) - 4

A: Topic:- application of integration

Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: Find the volume bounded by the cylinder z=y², y=x² and the planes z=0, y=4.

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Q: 5 Given h(x) = x³ + px² − x − 4, find a value for p so h(x) has an inflection point at x = -4.…

A: I am attaching image so that you understand each and every step.

Q: The solution of a certain differential equation is of the form y(t) = aest + bet, where a and b are…

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Q: Consider the second order differential equation with initial conditions u" - 4.5u' - 5.5u = -4…

A: The given equation is u" - 4.5u' - 5.5u = - 4sin(3t)

Q: 'Q/ find the vector whose length =5 and its direction (600) with x axis 53 = 1+ j,v=i+ الخيار رقم 1…

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Q: 9- Solve the question. Lim cos(2x)/x хэл

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Q: Evaluate the limit assuming that lim f(x) = 3 and g(x) = 1. lim f(x)g(x) lim (2f(x) + 3g(x)) lim…

A: Given limx→-4f(x) = 3 and g(x) = 1.

Q: Use the following information to answer the next question the graph shown below is obtained by…

A: Please refer to the image below

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

A: Solution: L-1 {1/s7}

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [ 8x 8x √√x + c dx

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Q: Find the directional derivative Duf (2,0) where, f(x, y) = xexy + y and u is the unit vector in the…

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Q: Convert the Polar coordinate to the Cartesian coordinate. 1. r= 1+2r cose 2. r=1-cos8

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Q: A pole that is 5625 feet long is leaning against a building. The bottom of the pole is moving away…

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Q: 1. 2ydx+x(x² In y-1)dy=0

A: