C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

Q: Find the indefinite integral. (Use C for the constant of integration.) sin3 40 v cos 40 d0

A: We can find the integral as below.

Q: 2+ x, x lim g(x) c. g(2) < lim g(x) d. g(2) # lim g(x) X-2 X-2 X-2 X-2

A:

Q: (6w+12w") /w +w° dw

A: Given: I=∫6w-4+12w-7w-3+w-64dw So, we can also write as: I=∫6w-4+12w-7w-3+w-64dw=∫6w4+12w71w3+1w64dw...

Q: Which is the better base for working with exponents and logs : e or 10? Justify your answer.

A: log with base e is better for working with exponents.

Q: The slope of the tangent line to the curve y at the point 6, is: 3 The equation of this tangent line...

A:

Q: 5. Solve Bessel function Jo: xý+y + xy =0 , yC)=0,7652 yo) = - 0.44 , h-o.5 ( do five iterations)

A:

Q: -4 c) f(x) = In

A: Given query is to find the derivative of the expression.

Q: 2x2 (7) Let f(x) = Find the vertical x2 –1 and horizontal asymptotes of the given function. Show the...

A:

Q: 5. S(4x+ 2x 1) (12x+ 4x)dr

A:

Q: Find the direction cosines and angles of u and show that cos? a + cos?B + cos? y = 1. (Round your an...

A: Here we have to find the direction cosines and angles of u.

Q: Use the graph of z = f(x, y) to determine the sign of each partial derivative of f at the point P. O...

A: Given query is to find the sign of the derivative.  

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Q: Find the exact value of the trigonometric expression given that sin(u) = - where 3x/2 <u< 2x, and co...

A: tan(u+v) = (tanu +tanv)/(1- tanu*tanv) tanu = sinu/cosu cosu = 1-sin2u cosu = 1-(3/5)2 cosu = 4/5 si...

Q: In Exercises 17-22, iterated integrals are given that compute the area of a region R in the x-y plan...

A: We have to find as given above. 

Q: I did the first number. Answer only number 2 and 3. Evaluate the following limits.

A:

Q: 5. Which of the has a domain of (-o, +c0)? a. f(x) = x b. f(x) = x2 c. f(x) = x d. f(x) = x*

A:

Q: Find dy if y2T+4+ In(x+2)= xy3 dx y - 2Vx+4 2yvx+4 -3xy 2x+4 2yvx+ 4 y -2 2yvx +4 - 3xy- Vx +4 2yvx ...

A:

Q: 45-54. First Derivative Test a. Locate the critical points of f. b. Use the First Derivative Test to...

A:

Q: 2. Given: LKEI S LTEI Prove: AKET ATEI Proof: Statements Reasons 1. 1. 2. 2. 3. 3. El EI 4. 4.

A:

Q: 3t² Determine f'(2) if f(t)=log10 2t – 1

A:

Q: 5. The graph of y= h(x) is shown below. The function f(x) is defined by f(x)=--h(x)+3. (a) What thre...

A: Let's find. 

Q: Below shows the graphs of the slopes of the tangent line of four different functions. Which of the f...

A: A) First graph is the type of =   - x2n And we know that these types of graph attains every value of...

Q: continuity

A:

Q: imum. Select the correct choice below and, if necessary e your choice.

A:

Q: 2) f(x) = x +: [1,3] a- Determine whether the Mean Value Theorem applies to the given function on th...

A: Given  f(x) = x+1x;  1, 3

Q: The equations for two planes are given below. a) Determine a possible value of k for which the plan...

A:

Q: Evaluate f ( + 3) dt

A:

Q: Evaluate the given integrals. 4. J(secx + tanх)? dx

A: Given problem:- ∫ (tan(x) +sec(x))2 dx   

Q: 2x?-8х+7 x 0 x-6x3

A:

Q: 3. у?dx + (x2+ 3ху + 4у?)dy %3D 0; when x —D 2, у %3D 1

A: Explanation of the answer is as follows

Q: Find f'(x) and f"(x) of f(x) = 11x³.

A:

Q: A waste management company is designing a rectangular construction dumpster that will be twice as lo...

A: Explanation of the answer is as follows

Q: Find F'(x) if F(x) = cot¯ 12

A: We can find the derivative as below

Q: Solve the assigned situation to you and create an appropriate word problem on given values. Show the...

A: It is given that, the foot of the ladder is sliding away at a rate of 1.5 m/s when it is 4 meters fr...

Q: Use partial fractions to find the indefinite integral. (Remember to use absolute values where approp...

A: Given; I=∫2x3-16x2-39x+8x2-8x-20dx We know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax...

Q: Find the vector component of v = (4, – 1,7) along b = (4, 8, –8) and the vector component of v ortho...

A:

Q: SEATWORK: ind using ong method COSX y = tanx MAR 28

A:

Q: 4. Determine whether the scrics is absolutely convergent, conditionally convergent, or divergent. k ...

A: Here we have, ∑k=1∞-1kkk3+2=∑k=1∞-1kak 

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: dw 21. : 1-cosw A. -tan w + secw + C B. w – cotw + C C.-cotw – cscw + C_ D. -cscw + tanw + C

A: We can find the integral value as below.

Q: Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the ...

A: f1(y)=4y-y2f2(y)=y2-6yArea bounded;0≤y≤5A=∫05f1(y)-f2(y) dyA=∫054y-y2-(y2-6y)dyA=∫0510y-2y2 dyA=2 ∫0...

Q: DO NOT include spaces in between characters. Compute g'(2) if g(x)=10**-2*. 16 Your answer

A: The objective is to compute g'(2).

Q: Use the limit definition in finding/showing what is asked. 2. Given a function x3 – 2x2 if x < 2 if ...

A:

Q: At which value/s of x does the graph of y = x - 6x² +9x- 2 have a horizontal tangent line? Write the...

A: Given: y=x3-6x2+9x-2 We know that a function has a horizontal tangent at the point where derivative ...

Q: Select ALL possible answers if there is more than one. * ifr<! 16 1 Let f(x)= 3 . If f(x) is continu...

A:

Q: Write an equation for the function graphed below -7 -6 -5 -43 -2 5 6 7

A: y=0at x=0, 3vertical asymptotes;x=-1, x=4There are no maxima or minima.y=x(x-3)(x+1)(x-4)

Q: DO NOT include the variable in your answer. * Given the graph of f'(x) below, what is the slope of t...

A:

Q: Suppose f is a function such that f'(7) is undefined. Which following statements is always true? a. ...

A: for the define f'(7) the function must be contineous at 7 but here undefine is given so  answer is b...

Q: : Give the following formulas ① Volume and surface area of a sphere (diameter = a)

A: We know volume and surface area of a sphere