function f(x, y) = 7x – 8y + 2xy – x² + y³

Q: Write the equations in cylindrical coordinates. (a) 2x2 - 5x + 2y2 + z2 = 7 8,2 +z? – 5r cos(0) =7 (...

A:

Q: 2 Find all local extreme values of f(x) = a – 5a? + 8x – 50. 3 The FIRST local extreme value, moving...

A:

Q: Estimate the area of the curve y= from r = 0 to r = 3 by using 6 rectangles and right end-points, R6...

A: area and right end sum

Q: sin 4x What is lim X-0

A:

Q: Pictured are a contour map of fand a curve with equation g(x,y) = 8. Estimate the maximum and minimu...

A: Given And gx, y=8

Q: Find the directional derivative of the function at P in the direction of v. f(x,y,z) = x²+y²+z² P(1,...

A:

Q: Gravel is being dumped from a conveyor belt at a rate of 30 ft/min, and its coarseness is such that ...

A:

Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

A: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min....

Q: 4" – 3" 00 Determine whether the series converges or diverges. If it converges, find its sum. n= 0

A: Solution: ∑n=0∞4n-3n5n Apply series ratio test an+1an=4n+1-3n+15n+14n-3n5n

Q: Let f(x) = (7 – 2x)* f(x) has one critical value at A = For æ A, f(x) is Select an answer

A:

Q: Use integration, the Direct Comparison Test, or the Limit Comparison Test to test the integral for c...

A: The correct answer will be option (B). The given improper integral will converge by Direct Compariso...

Q: If f(x) = 9a'm(z), find f'(9).

A: This is a basic differentiation problem

Q: Compute T2(x) at x = 1 for y = e" and use a calculator to compute the error |eª – T2(x)| at x = -1.5...

A: Find your answer below 

Q: Find the values of x for which the given geometric series converges. Also, find the sum of the serie...

A:

Q: A water reservoir has the shape of a right circular cone with its circular base of radius R = 160 m ...

A: General formula for volume of cone, V= (Pi* R^2 * H)/3

Q: Consider the following functions. f(x) g(x) = 3x + 9 Find (fo g)(x). Find the domain of (fo g)(x). (...

A: Here f(x)=2/x and g(x)=3x+9 (1) (fog)(x)=f(g(x))              =f(3x+9)              =2/(3x+9) The fu...

Q: Evaluate the integral below using any appropriate algebraic method or trigonometric identity. T/2 1 ...

A:

Q: Give an example of a geometric series whose sum is T (recall that geometric serie begin with = = 0).

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Given f(x) = ln(4 −3x) + 1 state the domain, range, vertical asymptote, end behavior, and x and y-in...

A:

Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

A:

Q: 7–√7

A:

Q: Solve the following differential equation. Finalize answer free of fractions and equated to y^n. 1. ...

A:

Q: 3. Ek=1 00 en n"

A:

Q: Determine if the following sequences converge or diverge. You must justify your answers. If they con...

A:

Q: Evaluate. 3 If f(2)dz = and 9(=)dz = - 1 what is the value of g(x)dx [6f(x) + 29(z)]dz =?

A: Topic = Integration

Q: Σ 11 cos n=1

A: We will use the concept of nth term test.

Q: D. Evaluate et-2 tan vE 2t + 3 S 't² – 2t + 1 e2t

A: To evaluate: ∫et-2e2t, tan tt, 2t+3t2-2t+1dt=∫et-2e2tdt, ∫tan tt dt, ∫ 2t+3t2-2t+1 dt+A,B,C

Q: 1. Kgothatso showed her classmates that dx%3D (x- 1) Without showing Kgothatso how you would evaluat...

A: 1.AgreeGiven Integral can be evaluated with the formula :∫yndy =yn+1n+1here y =x-1 , n=-23   

Q: 1 Use the trapezoid rule and Simpson's rule to approximate the value of da with n = 4. 9 + x3 Note t...

A: Trapezoidal Rule :         ∫ab f(x) dx ≈ ∆x2f(x0)+2f(x1) + 2fx2+...+2fxn-1+fxnwhere , ∆x = b-anSimps...

Q: Let m and n be positive integers and a+ 0. Using partial integrals, show that 1 x"ea# dx = -x"eª* n ...

A:

Q: csc5x cot5x dx 5csc5x (A csc5x B csc 1 -csc5x 3 В 1 -csc5x 3 D csc5x None

A:

Q: k! CO %3D 104k

A: Given Series ∑k=0∞k!104k

Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

A:

Q: Compute T2(x) at x = 1 for y = eª and use a calculator to compute the error |e – T2(x)| at x = -1.5....

A:

Q: 1 The region bounded by the graph of f(x) and the x-axis between x = 0 and x = 9 %3D 1+ x2 is revolv...

A:

Q: (х +у—4)dx — (х — у + 2)dy %3D0 -

A:

Q: In (sin2x) sin2xdx Evaluate; sin³x -+C 3 A sin?x +C 2 B В sin4x - +C 4 sin4x D -+C E None

A:

Q: y' + 2xy = 0

A: y'+2xy=0

Q: An airplane is flying on a horizontal path at a height of 3500 ft, as shown in the figure below. At ...

A: The solution of the problem is given in the next steps.

Q: Determine the limit of the following: 1.1) lim x -->3 (sqrt 3x / x sqrt x + 1) 1.2) lim --> pi / 3...

A:

Q: 2. y(x? + y? – 1)dx + x(x² + y² + 1)dy = 0 - 3. 2y(x2 – y + x)dx + (x² – 2y)dy = 0 - -

A:

Q: Consider the power series -1 3n" (x+1)" n! 1. n=1 What is the center of the series ? What is the rad...

A: An infinite series of the form                   ∑n=1∞ an(x-a)n is called power series centered at a...

Q: Write an equation for the line parallel to y : – 3x + 3 and passing through the point (4,-16) y =

A:

Q: To evaluate Je ?" sin(e²^) cos(e²«) dx, we let u=e A True B) False

A: Integration true or false

Q: 1. (a) Find the first four nonzero terms of the Taylor Series for the given function centered at a +...

A: i) f(x)=ex , a=ln 4ii) fx=ln x, a=3

Q: Find the length of the arc of the curve y = In x over the interval: [1, 9| . Round the answer to fou...

A: This is a question related to derivative of the function. Based on the general formula we will find ...

Q: sinrdr In(cosr-3)c cosr -3

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

Q: the gradient to find the directional derivatve of the function direction of Q. 8. f(x,y) = e' sin x ...

A:

Q: What is the volume of a cylinder

A: volume of a cylinder

Q: 7-18 Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the ...

A: