Example is given: The sum of three consecutive terms of an A.P. is 24 and their product is 440. Find the numbers?

Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region b...

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Q: the sum. Use a model 1 1 3 3 1/3

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Q: Example 6: Determine whether the planes 3x+ y- 4z = 3 and -9x-3y+12z= 4 are | orthogonal, parallel, ...

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Q: y³ Vy² + 4 dy Let u = y? 2

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Q: Q1:a) Find the domain and range of the functions:- 1) f(x) = %3D x+3 2) f(x) = V4- Vx 3) f(x)=5cos3x...

A: Topic:- function

Q: From the information given, find the quadrant in which the terminal point determined by t lies. I pu...

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Q: f (sin(x²y), x³ – y²) ry If we take u = sin(x'y) and w x³ - y?, then: dz A) dy x2 . fu · cos(r?y) – ...

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Q: 20. x4 - 2х2 + 4х +1 х3 — х2 — х + 1

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Q: Find the area of the area bounded by the given curves. Draw a figure showing the region and a rectan...

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Q: 1. Using Logarithmic Differentiation, find given that dr -3 sec-(VT) y = 4"(log21)«ch z'

A: To find derivative using logarithmic differentiation  keep this formulas in mind  log ab= b log a lo...

Q: Use your knowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Show that, z''+4z'+8z=0 if z=e-2xsin2x+cos2x Formulas used: ddxsinx=cosxddxcosx=-sinxddxenx=nenxProd...

Q: parallel lines have the slope m1 = -m2 %3D False True

A: Parallel lines

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: S 3x° V1 – 2a3 l 2³ – 3x 1. Let f(x) = if æ 0

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Q: Consider the hyperbola of equation: (x – h)² (y – k)2 a2 62 whose foci are (-3, 2) and (9, 2), and t...

A: First find distance between foci Then use formula

Q: Determine uhether the series is convergent or divergent.Write the exact test that you Use. 8 n-1 2n

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: This is a problem related to maxima and minima of the function from the given graph. Here the genera...

Q: 3. Apply the partial fraction decomposition to evaluate the integral 4-x2 x(x2 + 2) x

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Q: Find the area of the shaded region. r = v 0

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Q: Let f : R R with f(x) = -2x +5 Prove that f is onto.

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Q: Reciprocal Substitution – x³ )/3 dx

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Q: Write the letter of the item that corresponds to the best response. What is the average value of the...

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Q: Find the area between the y-axis and the graph X = /y on the interval 1, 4]. 4 3- 2- -1 0 1 2 3 O 16...

A: The given question has been solved in detail and option (c) 14/3 is the correct answer. 

Q: Example 3: Find the parametric and symmetric equations of the line passing through the point (-3, 5,...

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Q: Find the area between the y-axis and the graph X = 1 on the interval 3, 6]. 7 5- 4 3 2 ++++ ++++ 54 ...

A: The area formed is of trapezium

Q: Given a function f(x,y,z) = (x+4) ln (9y - 2) sin (2z). Find the domain of the function.

A: Let's find. 

Q: Find the centroid of the region bounded by the curves: x = 2y – y? and the y-axis A = sq. units; Cen...

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Q: Use your khowledge on Higher-order derivative and Chain Rule to show that z" + 4z' + 8z = 0 if z = e...

A: Here we are using simple differentiation method. First find out the first derivative of z then the s...

Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

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Q: ren f(x, y) = In Va²y3. What is = value of fy(1, 2)?

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Q: Convert the equation f(t)=228e^−0.2t to the form f(t)=ab^t

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Q: Approximate the critical numbers of the function shown in the graph. Determine whether the function ...

A: Solved below

Q: y Vy2 + 4 dy Let u = y?

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Q: sinh(3r) 3. Solve for f(21) (x) given that f(x) = 3 %3D

A: We know, ddxcosh(mx)=msinh(mx) , for any real number m. ddxsinh(nx)=nsinh(nx) , for any real number...

Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: Find dy dx if sin(x + y) = tan(xy)

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Q: Example 1: Find the vector, parametric, and symmetric equations for the line through the point (1, 0...

A: To find the vector, parametric, and symmetric equations for the line through the point 1, 0, -3 and ...

Q: Hi, I need help with this calculus problem. Thank you for your help - I really appreciate it! For th...

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Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Use the rules of differentiation to find the derivative of the function. (e) = 4 cos(@) – sin(8) f'(...

A: f(θ)=4cos(θ)-sin(θ)5Differentiate with respect to θf'(θ)=ddθ(4cosθ-sin(θ)5)f'(θ)=ddθ(4cos(θ))-ddθ(si...

Q: Solve the following differential equations of dy 1 + -y = xy'; dx 'Linear Differential Equation

A: The standard form of Bernoulli's differential equation is: dydx+Py=Qyn Where; P & Q is the funct...

Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

Q: dy Show that the analytical solution for this problem = 4 e081 - 0.5 y) dt (e0.81 - el-0.5 t) +2 e-0...

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: A certain medicine is taken in 220 mg dosages and has a half-like of 12 hours. The function A-220 ca...

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Q: Find (f1) (3) if f(x) = x³ + x + 1. 3 (f-1) (3) = (Simplify your answer.)

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Q: <- Save & Exit Certify Lesson: 4.1a Higher Order Derivatives and .. 0/11 Question 1 of 6, Step 1 of ...

A: We know, ddxmx+cn=mnmx+c(n-1) , for any real numbers m and c

Q: Find the centroid of the region bounded by the curves: y = 2x – x² and y = x

A: Let, is the centroid of the region which is bounded above by the curve y=f(x) and below by the curve...

Q: Aline is drawn from point ( 4, 4) to the point (-3,-3), what acute angle does it make with the-ive Y...

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