A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of the interior angles.

Q: h(x) h'(-6)= = f(x) g(x) based

A: Given;  h(x)=f(x)/g(x).

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Q: Evaluate the limits - im 1 lim x→-2 X

A: limit x→-2 1x3

Q: 2 OM a) Find the area of the region b) Find the length of the curve c) Find the surface area generat…

A: A detailed solution is given below.

Q: x 0/x 6+29r² SS S 0 0 0 Evaluate the cylindrical coordinate integral The value is 247 960 (Type an…

A: This question can be solved using the concept of triple integrals.

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A: Given problem:-

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

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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: Radium decomposes at a rate proportional to the amount present. If half of the original amount…

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Q: 1. Evaluate the following limits: 4. lim x→2 sin(4x-8) 4x-5x-6

A: Ans - In this question, we will find the limit of the given expression.

Q: 1- 2- 3- 3-Evaluate the integrals in Exercises: [ sect? (x - 1) dx sech² s sech Vt tanh Vt dt Vt…

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

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Q: y 3. The region bounded by the curve y=sec x, the x axis, the axis and the line x=0.25pi is revolved…

A: The given curves are; y=secx, y=0 x-axis, x=0 y-axis, x=0.25π So, the bounded region is as shown…

Q: your cimal places. Radioactive substance X starts with a mass of 20 g. The half-life of the…

A: Given problem:- Radioactive substance X starts with a mass of 20 g. The half-life of the substance…

Q: dy dx +y = 0 y(0) = 1 Using Power Series, solve for y(x) at x₁ = 0 Using First Order Runge-Kutta…

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Q: Consider the following graph. Step 1 of 2: Determine the intervals on which the function is concave…

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Q: Suppose the weight (in pounds) of a baby boy x months old, for his first 10 months can be…

A: Given function, f(x)=1.6x+8.3 Where x is in months.

Q: Find the curl of the following vector field: F = (z, 2y, -3x)

A: Follow the procedure given below.

Q: [2 + m 3 1. Given A= 1 a. (AB)¹ - A 1 2 -1 -1 4 5+ ml and B = [-1-m 2 91 3 5+m 3 0+m 6 11 Find the…

A: According to Bartleby guidelines I can only answer the first question of the given three questions.

Q: (a) Assume that f(x) is a function defined by f(x) = x²-3x+1 2x - 1 for 2 ≤ x ≤ 3. Prove that f(x)…

A: Given.

Q: Evaluate the difference quotient f(a+h)-f(a) for the function f(x) = x² + 4x - 5. h 2a +h+4 h+4 2a +…

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Q: Given A(1,3,-7) and B(0, 2,-4), the magnitude of AB is a. √147 b. 3 C. √11. d. 3.3

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Q: 5. Find the Taylor expansion of f(x)=x² - 2x + 4 at x = 2.

A: To find the Taylor expansion of fx=x2-2x+4 at x=2.

Q: Find the area that lies inside both curve: r = 1 – cos(θ) and r = 1 + cos(θ). Draw.

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Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: Step 4 of 4: Find lim f(x). x-3 Enable Zoom/Pan 10 -5 10 Keypac Keyboard Shortc Selecting a radio…

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Q: Question 9 of 9 A company currently owes $25,000 to a bank for a loan it took 3 years and 5 months…

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Q: 10- 11- 12- In 2 log₂x X 2 log10 (x + 1) x + 1 dx x log10 x 0 S -dx -dx

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Q: Question 1 of 9 Calculate the future value of each of the following investments. Round the answers…

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

Q: Find the equation of the tangent plane to the surface f(x,y)=In(4x²-2xy-y²) at the point P(-1,-1,0).

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Q: Find the first five non-zero terms of the Taylor series for f(x) = 1 3 Jo.[ + + + Written compactly,…

A: Use taylor series formula for the function

Q: 1. What is the value of Sin 3? 4 TT 2. What is the value of Tan 3

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Q: Q1: Find the general solution to the following differential equation: y"-2y'+y=x²-1

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Q: 0 1 5. Let A = -1 -1 1 a) Find the decomposition PA=LU for the matrix. b) Solve the system Ax=(1 1…

A: Given problem:-

Q: 4. Find the volume of the solid generated by revolving about the line y=-3 the region bounded by the…

A: Using disc method, volume is evaluated.

Q: A Prove that 1 B) Find all of the second derivatives for f(x, y) = (3xy² + 2xy + x²) In x²+y²…

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Q: y = lnx and x-y-4 = 0

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Q: (a) Assume that g(x, y) is a function of the form g(x, y) 0 if (x, y) = (0,0). (i) Show that g(x,…

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Q: 1. Assuming that one of the sides of a rectangular field is along a river bank and no fencing is…

A: In this question, we want to know the dimensions of the rectangular field that will satisfy the…

Q: Use the binomial theorem to expand the binomial. (5x+2)4

A: Please refer to the image below

Q: Evaluate the spherical coordinate integral. 1- cos 2 2x x SS S p²sin dp do de 00 1- cos 2 2x x SS S…

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Q: y = x² and x² = y

A: Area of the bounded region is

Q: Let y = 3x² + 3x + 4. ind the differential dy when x = 4 and dx = 0.4 ind the differential dy when x…

A: Given query is to find differential at given point.

Q: Evaluate the integral. Please show step by step! S sin x 1-2 sin² x cos²x dx

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

Q: Sketch the region enclosed by y = 3x and y = 52. Find the area of the region.

A: Given that y=3x and y=5x2 find bounded area.     Here i attached the solution of this question.

Q: that the internal of Convergence of the server 24-12-1 Z n=1 (4-3)² not is given by - √/24 x = = =…

A: Using ratio test, to find wheather series is convergent or divergent in which interval.

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: 1. Find the indicated limit 1- cost, (a) R(t) t 1+ cost, i+ (b) R(t) 1-sint = = -i+e¹j+ek; lim R(t)…

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Q: Which vector is not orthogonal to ū=? a. C. b. d.

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Q: Evaluate the following integrals: 1. f(cos x + csc² x)dx 2. f(tan x + sec² x) dx 3. (1+sec² x) dx…

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