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Q: dz If z = f(x,y), x = g(s,t), and y = h(s,t), explain how to find Choose the correct answer below. d...

A: Given z=f(x,y)       .......(1)x=g(s,t)          ......(2)y=h(s,t)          ......(3)

Q: (b) Find the exact arc length of the curve x=e“(sint+cost), y=e“(sint– cost) over the interval [–1, ...

A: The arc length of a parametric curve over the interval a,b is given by the integral, L=∫abdxdt2+dydt...

Q: Find the sum of the convergent series. Σ n(n + 2) 16 n = 1 Need Help? Read It

A: It is given that, ∑n=1∞16n(n+2)   We can use partial fraction to make the expression in simpler form...

Q: dw Use the Chain Rule to find where w = cos 8x sin 2y, x = and y = t*. dt 4' dw II

A: w=cos8x sin2y  , x=t4 and y=t4 dxdt=dt4dt=14 dydt=dt4dt=4t3   ∂w∂x=8 cos8x cos2y ∂w∂y=sin8x -2 sin2y...

Q: Determine the value of the constant a for which the function f(x) is continuous at -4. x + 7x + 12 x...

A: Given function is fx=x2+7x+12x+4 if x≠-4a                  if x=-4 We have to find the value of a. S...

Q: Help me solve question #12

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to...

Q: Find the area of the region. 1.0 0.8 0.6 0.4 The xy-coordinate plane is given. There is 1 curve and ...

A: We need to find the area of the shaded region To find the area of the region under the curve , we us...

Q: In the given equation as follows , find dy/dx:- see the equation as attached here

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It...

Q: Find the flat asymptotes of the functions, if they exist:

A: Given:   a fx=1x2-1    b fx=1x-1  

Q: Answer letter A only.

A: The given function is, Z=xy3ln3xey Determine the first derivative of Z with respect to x. Z=y3xln3xe...

Q: Evaluate the definite integral.

A:

Q: Find the equations of the tangent lines at the point where the curve crosses itself.  x = t2 − t, y ...

A: Given: x=t2-ty=t3-3t-1

Q: dw If w is a function of x, y, and z, which are all functions of t, explain how to find dt Choose th...

A: Given: w is a function of x, y, and z which are all functions of t. To explain: How to find dwdt.

Q: see the qustion as attached here

A: Given- x2=4py To Sketch- The graph of the above expression for p=14,12,32 and 2 on the same coordina...

Q: 4. For the function f(x) = x²/*(x – 1)4/³, find the x and y coordinates for all critical points, ind...

A: Givenf(x)=x23(x-1)43 To find critical points , stationary points and identifying its local extrema.

Q: The intensity of the sound of traffic at a busy intersection was measured at 9.0 × 10−9 W/m2. Find t...

A: we have to find decibel level of given intensity, so,

Q: I was wondering If you can help me solve this I'm very lost.

A: gx=5x+32-4

Q: Solve each equation. 11) log, 3x– log, log, 4= 4 %3D

A:

Q: Prove that if f is an even function, then its nth Maclaurin polynomial contains only terms with even...

A: To proveIf f is an even function then its nth Maclaurin polynomial containsonly terms with even powe...

Q:

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Approximate the sum of the series correct to four decimal places. 5-1)" 5"n! n = 1

A:

Q: 3) Two observers A and B sight a helicopter due east. The observers are 3540 feet apart, and the ang...

A: Given, two observers A and B sight a helicopter due east,The observers are 3540 feet a part, and the...

Q: Full solution please

A: It is given that x=3-y2 so y=3-x therefore the graph is parabolic as shown in the figure and the are...

Q: Look at picture please!

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Image

A: Consider the triangle,   Given that from the triangle, m∠B=25°,   a=4,   b=6

Q: 2

A:

Q: 6

A:

Q: Hello! How do you answer this one?

A:

Q: Show your work neatly pleaseee!!?

A: Given: ∑n=1∞n57n

Q: The atmospheric pressure at altitude h (kilometers) for 11 ≤ h ≤ 25 is approximately                ...

A: Given: P(h)=128e-0.157h

Q: A boat that arrives at a dock 20 ft above water level is being pulled in by a fisherman using a rope...

A: Given: A boat that arrives at a dock 20 ft above water  level is being  in pulled in by fisherman us...

Q: Evaluate each expression. 13) log4 64

A:

Q: 1

A:

Q: QUESTION 1 For the following differential equations, - Classify whether the equation is ordinary or ...

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: Question given in the image.

A: The formula of volume in spherical coordinate system is given below: V=∫ϕ∫ϕ∫ρρ2sinϕ dρ dϕ dθ where, ...

Q: Find the area of the shaded region. f(x) = x* - 8x + 21x, g(x) = 6x + 36 (3,54) (-1,30 by -10

A: GIvenf(x)=x4-8x3+21x2g(x)=6x+36To find the area of shaded region from given figure.

Q: . For the function: h(x) = r³ – x² – r (a) Find the y-intercept of y = h(x), and evaluate lim h(x) a...

A: The function is hx=x3-x2-x

Q: LL im (x-2x+1) X→-1 2. Lim X'+3 X²-5 3-Lim Yx3X+6 X→-2

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the va...

Q: what are key characteristics of the exponential-growth parent graph and exponential-decay parent gra...

A: Exponential Growth Functions ⇒The function y=f(x)=abx represents growth if b>1 and a>0.⇒The gr...

Q: In Exercises 7-10, find the indicated limit by using the limits lim f(x, y) = 4 and (r, 5) (a, b)" l...

A:   Given : lim(x, y) → (a, b) f(x, y) = 4lim(x, y) → (a, b) g(x, y) = -5   To find : lim(x , y) → (a,...

Q: (1) What is the chain rule for derivatives? You can write the rule in any way that makes sense to yo...

A: Explanation:                        The Chain Rule is a formula for computing the derivative of the ...

Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which i...

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of plan...

Q: 61,67

A: 61) we have to prove that: sinα+βsinαcosβ=1+cotα tanβ

Q: 3

A: 3) The given line passes through -4,4 and 2,-7 To find: Equation of the line in slope intercept form...

Q: #1

A: Given function is: fx=8x+9 ;      for x≤687-52x ;  for x>6 The given interval is [3, 9]. We have ...

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

A: Lets draw the given equation using graphing calculator y=x3y=8x=0  and x=3  

Q: Determine all values of p for which the improper integral converges.

A: First apply integral test. In integral test if ∫k∞f(x)dx is convergent then ∑n=1∞an is convergent an...

Q: Find the following integral: Integral  (3x2 + 3x + 1 divided by x3 + 2x2 + x) dx

A: Given the integralI=∫3x2+3x+1x3+2x2+xdx         .....(1)

Q: Find an equation for an exponential passing through the points (4, 1200) and (11, 1900).

A: here we find the exponential equation by using  y=abx  by using points (4,1200) and (11, 1900)  

Q: complete the following questions and show your work:  b) The base of a triangle is 1 cm more than 3 ...

A: Given, The base of a triangle is 1 cm more than 3 times its height and the area of the triangle is 1...