What do we use the chain rule for?

Q: Let P(1,2,3). Q(1,-1,0) and R(2,4,7). Find i. the normal vector to the plane PQR. ii. the parametric…

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Q: Find the linearization of the function f(x,y) L(x, y) = 34 - 3x². 3y² at the point (3, 1). Use the…

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Q: 5 A 8 B

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Q: (d) (e) (f) [ ₁² V. [ (sec²(x) — csc²(4x)) da. x² √x³+3 dx ** π/4 sin(4x) dx.

A: Detailed solutions is given below.

Q: Here is a way we can estimate the distance from the earth to the moon. When the moon is seen at its…

A: Here is a way we can estimate the distance from the earth to the  moon. When the moon is seen at its…

Q: Find an equation of the line that passes through the given point and has the indicated slope m.…

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Q: The average home attendance per week at a Class AA baseball park varied according to the formula…

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Q: 7. A function f has a Maclaurin series given by x³ + x²x² 5 X' 3! 5! n 2n+3 (-1)"x²+3 X (2n + 1)!…

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Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

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Q: The population of the world x years after the year 2010 is predicted to be 6.9e0.00743x billion…

A: The population of the world x years after 2010 is predicted to be 6.9e0.00743 x billion people.…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A: To find a vector equation and parametric equation for the line which  passes through the point 7, 3,…

Q: Find by implicit differentiation, given that a²y - 5y7 = -7. Your answer could involve both x and y.…

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Q: Find an equation for the line that passes through the points (-1,0) and (9, 30).

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Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: Sketch a graph of the following ellipse. Find the center, vertices, and foci per class methods. (? −…

A: As per our guidelines we are allowed to answer only one question. Kindly repost the other question…

Q: Point      Line (-8, 7)      x + y = 13 (a) Write the slope-intercept form of the equation of the…

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Q: Solve the equation for exact solutions over the interval [0°, 360°). 4 cos ^2x − 1 = 0

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Q: Yes one last part please ? d/dx​(3v−5​u)=

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Q: 7. Find the point (a, b) on the graph of y = x³ - 3x² +4 where the tangent line is x - 3y = 1.…

A: given y=x3-3x2+4tangent line perpendicula to x-3y=1if two lines are perpendicular than there slopes…

Q: Determine if this statement is true or false: If A(x) = f(t)dt then the graph of A 5 crosses the…

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Q: f(x)=9x², -2≤x≤2

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Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: Suppose lim f(x) = 9 and lim g(x) = -8. Find x-2 x-2 lim (5ƒ(x)² +6ƒ(x) — 7g(x)³ + 3g(x)² − g(x) −…

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Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A: Given data: The soles rote on the day 't' of the sole is 70t ⇒dctdt=70t  At t=1 none of the…

Q: If f is a function that is continuous at x = 5 and x = 7, then f is continuous at x = 6. True False

A: Topic - Continuity We are given that f is continuous at x=5 and x=7 , then f is continuous at x=6.

Q: Find T, N, and ê for the space curve, where t> 0. r(t) = (6 cos t+ 6t sin t)i + (6 sin t - 6t cos…

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Q: find the integra

A: we hav to evaluate the integration ∫x4+x-4x2+2 dxsince  the expression  x4+x-4x2+2 = (x2-2)+xx2+2

Q: (b) Find the limits as x approaches 4 from the left and from the right. lim f(x) = X-47 lim f(x) =…

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Q: The distance of a particle from some fixed point is given by the following function. s(t)=t² +5t-4…

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Q: The area of the sector of a circle with radius 10 meters formed by a central angle of 175° is square…

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Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

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Q: Consider the functions z = 7e* In y, x= In (u cos v), and y = u sin v. dz əz (a) Express and ди of u…

A: Solution: ∂y∂u=sin v

Q: K For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: Consider the following surface. z = 4x² + y² 9y Let z = f(x, y). Find f(x, y) and f(x, y). 8x fx(x,…

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Q: Find all the second-order partial derivatives of the following function. 74 f(x,y)=x²y²-x+y° 6 8

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: K Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex…

A: Given:

Q: Consider the following trajectory of a moving object. Find the tangential and normal components of…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: The angle of elevation to the top of a building in New York is 12° from the ground and 1.25 miles…

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Q: 5. The length of a curve from x = 1 to x = 4 is given by [√₁+1 (B) y = ln x the curve contains the…

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Q: F(s) 3s² - 7s +5 (s − 1)(s 1) (s - 2)

A: As we know from the inverse Laplace transform identity. 1). L-11s-a=eat 2). L-11s-an=eattn-1n-1!…

Q: Use differentials to estimate the amount of metal (in cm³) in a closed cylindrical can that is 22 cm…

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Q: 4. Find the cosine of the angle between the normal vectors to the planes x+y + 2z = 3 and 2x -y + 2z…

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Q: Use elementary row operations to transform the augmented coefficient matrix to echelon form. Then…

A: We have to find the echelon form and solve the system.

Q: True/False: Please write functions that prove or disprove a), b), and c). x-3 a) A function of the…

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Q: A piecewise function is defined as follows: y= -2x-1 -1<x<0 -(x-2)² +3 0<x<3 3 x = 3 1 3< x≤4 Sketch…

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Q: For the function f(x,y,z)= In (4x + 7y + 10z), find fx. fy, and f₂.

A: Detailed solutions are given below.

Q: 2. If f(x) = and g(x) = sin(x): (a) Find the function (gof)(x) and its domain. (b) Find the function…

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Q: Use the graph of f in the figure to do the following. a. Find the values of x in the interval (0,5)…

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Q: 2.10

A: (a)  x=3y-3y3 ,  about x axis volume(V)=∫ab2πR(y)H(y)dywhere R(y) is radius H(y) is height

Q: 4/2+81x 3 X→∞0 X +7 Find lim lim X→∞0 2+81x 3 X +7 = (Simplify your answer.)

A: Given query is to find indicated limit.