QUESTION 7 Use the properties of sigma notation and the summation formulas to evaluate the following area. Express your answer as a decimal rounded to 1 decimal place. A = lim Z(1+G) n+ 0 = 1

Q: find dy/dx for the following relation please, using implicit differentiation.  4x2ln(y) - x3 - 4 = 2...

A: 4x2ln(y)-x3-4=2yddx(4x2)ln(y)+4x2ddxln(y)-3x2=2dydx(8x)ln(y)+4x21ydydx-3x2=2dydx

Q: Sketch the region of integration and change the order of integration.

A: Given data:   The expression for the given integral is ∫02∫x24f(x,y)dydx.   The expression for the l...

Q: Use left and right endpoints and the given number of rectangles to find two approximations of the ar...

A: Given function g(x)=7sinx 0, π, 6 rectangle

Q: Show that f is not differentiable at x = 1 and has a corner in its graph there. x 1

A:

Q: Find the derivative of the function. f(x) = 1/(5x + 1)2

A: We have to differentiate the given function: fx=15x+12 We know that formula for differentiation: dxn...

Q: question in the attached photo

A:

Q: 5. If lim f (x) = L, where L is a real number, which of the following must be true? %3D X-C I. f(c) ...

A: Option c is correct. According to definition of continuity LHL and RHL equal to f(c). So option c is...

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: We have to evaluate ∫  x32+8x+5dx. ∫ x32+8x+5dx=∫ x32dx+∫8x dx+∫5dx=x32+132+1+8·x1+11+1+5x +c, where...

Q: Find dy/dx

A: We have to find  dydx where y=∫0xt3+110dt3                

Q: x = r cos 0 y = r sin 0 2 = x? + y? tan 0 16) Convert –15 + 8j to polar form. Round 0 to 1 decimal p...

A: Consider the following rectangular equation: -15+8j Compare the above form with a+bj: a=-15b=8 r=a2+...

Q: 1. Set up the partial fraction decomposition for each of the following functions. Do not attempt to ...

A: a) Consider the given fraction: 10x2x−1x+54 The factor (x­+5) occurs 4 times in the denominator. The...

Q: Deluxe coffee is to be mixed with regular coffee to make at least 43 pounds of a blended coffee. The...

A:

Q: draw a dependency diagram and write a ChainRule formula for each derivative. ∂w/∂s for w = g(x, y), ...

A: Given:  w=gx,y, x=hr,s,t, y=kr,s,t To find: The dependency diagram and chain rule formula for deriva...

Q: Find the indefinite integral. (Use C for the constant of integration.) 7 7 10

A:

Q: The total cost function for a product is C = 2x2 + 54x + 98.   How many units must be produced  to m...

A: Average cost=A(x)=C(x)x=2x2+54x+98x=2x+54+98x  

Q: Help please

A:

Q: solve

A:

Q: Curve sketching Use the graphing techniques of  graph the following functions on their domains. Iden...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find the derivative of

A: Given:           g(x)=xln(x)        

Q: Linear approximation and concavity Carry out the following steps for the given functions ƒ and point...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Find g(x) where g(x) us the reflection across the x-axis's of f(x)

A: Given that g(x) is the reflection across the x-axis's of f(x) This means g(x)= -f(x)  

Q: Question attached in photo

A: Given, fx=x-7 The equation of a line in point-slope form is given by y-y0=mx-x0 where, m is slope of...

Q: Find the critical numbers of f, if any, (a) find the open intervals on which the function is increas...

A: fx=-2x2+4x+3 Now critical numbers are the numbers for which first derivative is zero. So differentia...

Q: (a) Cavalieri’s Principle states that if a family of parallelplanes gives equal cross-sectional area...

A: (a) Prove the Cavalier's principle.

Q: Use reference angles to find the exact value of the expression cot 13π/3. Do not use a calculator.

A:

Q: Define the function formula for each of the following given the function definitions for f, g, and h...

A: given: f(x)=4x-3g(x)=x+34 fog(x)=f(g(x)) therefore, fog(x)=fgx=fx+34=4x+34-3=x+3-3=x

Q: Graph f(x) = 2x and its inverse function in the same rectangular coordinate system.

A:     

Q: 10 points) Let f(x) = x² – 1. Find the equation of the line that is tangent to the graph of f t the ...

A:

Q: Evaluate the integrals ∫dx/1 + (3x + 1)2

A:

Q: Explain why or why not Determine whether the following statementsare true and give an explanation or...

A: To Determine: Explain why or why not Determine whether the following statements are true and give an...

Q: Calculus Question

A: Given data: *The row 1 of matrix A represents the Restaurant. *The row 2 of the matrix A represents ...

Q: 2) Solve each inequality algebraically. d. x3 – x > 0

A: Consider the equation

Q: Find the inverse ƒ-11x2 of each function (on the given interval, if specified). ƒ1x2= 2>1x2 + 12,...

A: the given function is: fx=2x2+12 for x∈0,4 let y=f(x)=2x2+12 as we know that if we have a function y...

Q: Radius and interval of convergence Determine the radius and interval of convergence of the following...

A: Consider the equation

Q: Please help

A:

Q: A hemispherical tank with a radius of 10 m is filled from an inflow pipe at a rate of 3 m3>min (a...

A: The given volume of a cap of thickness h is, V=πh23r-h3 By substituting r = 10, V=πh230-h3=10πh2-πh3...

Q: 7) Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zer...

A: Given, f(x)=x4-x3-6x2+4x+8  

Q: Find the local maximumi and minimum values and saddle point(5) of the function. If you have three-di...

A:       We have f(x,y)=5 sinxsiny where -π<x,y<πfinding the local maximum, local minimum and sad...

Q: Only one of these calculations is correct. Which one? Why are the others wrong? Give reasons for you...

A: a). limx→0+xlnx=0·-∞=0 Here by applying the limit directly we got 0·-∞ which is an indeterminate for...

Q: Question on photo attached

A: Given fx=-3x+2 and mtan=limh→0f0+h-f0h

Q: Find the limit. Use l'Hôpital's Rule if appropriate.   To enter ∞, type infinity (with a lower case ...

A: Given: limx→0+1x3-1x7 for solving this we first simplify it   

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.