Use differentials and the graph of f to approximate the following. (Round your answers to three decimal places.) (2, 1) (a) (1.8) = (b) (2.08) =

Q: onsider the points A(3, -3,3), B(4, –5, 1), C(-2, –-4, 1), and (6, 3, -5). -) Find the volume of the...

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Q: In 1980, the population of alligators in a particular region was estimated to be 1300. In 2005, the ...

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Q: Q2: Solve the following equation using bisection method to find the root between x1=1 and x2-3 make ...

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Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: Q4. Approximate the value of f xv2x² + 1dx using the trapezoidal rule with n = 6. Compare this resul...

A: I am attaching image so that you understand each and every step.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 Eu. (v x w)| to determine ...

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Q: How-3 Find Zxx if Z=fcusvd uz x?y,V=2xy Exfress the answer interms of Xy, Zu, Zv

A: Implicit Differentiation: If z=f(u,v) , u=g(x,y) and v=h(x,y) then, ∂z∂x=∂z∂u∂u∂x+∂z∂v∂v∂xand ∂z∂y=∂...

Q: Find the particular solution of the differential equation that satisfies the initial condition. f'(x...

A: I am attaching image so that you understand each and every step.

Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

A: The graph is shown below:

Q: Find the volume of the solid generated of the area in the first quadrant bounded by y = 3x

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Q: Find the antiderivative, G(t), of the function g(t) = (3n²t² – t*)V3n² – t².

A: I am attaching image so that you understand each and every step.

Q: If the infinite curve y = e-*, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: How Find 32¢,32¥ ana E and d2f fer the functions: xre ahe |- Rex,y) = = tan (メャッ) 2- fCx,y) = xy + c...

A: As per company guidelines we can solve first question. I hope that the given solution will help you....

Q: Find the derivative of the function. 6z 12 - 5 u² – u?+5du g(r) = 32

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Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: 出w-2 Verify that Wメy Wyx for the functionss T- f(xsy) = En (2X +34) fcxyy) = e+x Luy +y Lnx 2-

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Q: urrent An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is ...

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Q: 3 2 1+ X 1 Let R be the region in the first quadrant enclosed by the graphs of y = 10e- sin x and th...

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Q: to find Volume & Surface Area of a Cylinder?

A: answer of given question is in step 2

Q: 8

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Q: 3. In (1+ x) Answer: 4: 5!

A: solution:-f(x)=ln1+xf'(x)=11+x,                  f'(0)=1f''(x)=-11+x2,        f''(0)=-1f'''(x)=1·21+...

Q: Gravel is being dumped from a conveyor belt at a rate of 40 cubic feet per minute. It forms a pile i...

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Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x2 + ...

A:   Intersection points:  x2 + y2 - 4ax = 0                                                          ...

Q: Find the area of the region enclosed by the graphs of 1 1 1 – 16æ²' Y = 0, x = 0, and æ NOTE: Enter ...

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Q: Derivative of h(x)= (x+5)^4(2x-1)^2

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

Q: "iew Policies Current Attempt in Progress Find the vector component of v = 2i – j+ 3k along b = 6i +...

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Q: The domain of f(x) = V4 – x² is –

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Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

A: Given query is to find series converges or diverges

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: To find out the distance from the point P to the line through A and B.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

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Q: - Sint - COS 2 sec E) tanC)

A: Recall: sec(x)=1cos(x)tan(x)=sin(x)cos(x)

Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0 (5 marks ...

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Q: . Determine an equation of the line of intersection of the planes 2r - y + 3z = -1 and x+ 4y – z = 2

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Q: Hew-2 Find the directionat derivative of the funCtion X+XCos7-y Sinz +yat the faint Pe (2,=ly0 towar...

A: Answer is following-

Q: At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knots and ship...

A: Question- At noon, ship A is 10 nautical miles due west of ship B. Ship A is sailing west at 24 knot...

Q: xdx 2x +3 a) Í b) s2*-2x-4 dx c) 2x' + 6x? +4x - dx x + 2x – 3 х2-1

A: As per our guidelines we can help you in solving only first three subparts. Rest of the problems you...

Q: 9. Given f(x) =-Vx – 3 and g(x) = x² + 3x + 4, what is the domain of z(x) = f(x) – g(x)?

A: 9. The functions area given by fx = -x-3 and gx = x2+3x+4 To evaluate: The domain of the function zx...

Q: (Q.2) Describe how to use the weighted residual method (2-term polynomial approximation) and write d...

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Q: Find the vector component of v = 2i –j+3k along b = 6i + 6j + 7k and the vector component of v ortho...

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Q: What is the answer? show your solution and simplify your final answer without the use of calculator

A: Solved assuming 'a' is positive. 

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and ...

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line x=...

Q: Use polar coordinates to find the volume of the given solid. Above the cone z = (x2+y2)1/2 and belo...

A: We have to determine volumes of given solid

Q: Instruction: Answer the following. Show all your solutions. For items 1 and 2: Given f(x)dx = 4; f(x...

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Q: Show that (0,0) is a critical point of f(x,y) = x2 + kxy + y2 no matter what value the constant k ha...

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Q: Activity 1. Solve for what is asked. dy 1 1 1. Find :+= = 8 dx y 2. Find : x²y2 – 2xy = 8 dx 3. Find...

A: Differentiate with respect to x.  According to guidelines we solve only first three parts. 

Q: III. Show that the function is continuous on the specified interval. 11. f (x) = V3x – 5; [3,9]

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Q: Find the equation of the tangent to the graph at the indicated point. f(x) = x2 – 5x; a = -2 y =

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Q: evaluate the function at the given point. f(x,y)=x2+y2, D={(x,y):0<=x<=1, 0<=y<=1}

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Q: 3 sin°co dx COSCX)

A: Integration