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A: Given :y=16-x2
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A: Topic:- application of derivatives
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Q: Q.1) Choose the correct answer for the following: (choose 5 only) 1- The vector from point P=(2,2,1)…
A: This question can be solved using the concept of vectors.
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Q: 5. Use the Squeeze Theorem to evaluate lim sinz 27 1-400
A: Note: As per bartleby guidelines, I can answer only one question. So, kindly repost the other…
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A: Topic = Integration
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A: Solution
Q: D-the result of the following 1² lim x-0 In (sec x) anther answer O 1
A: Here we have to evaluate the limx→0x2ln(secx)
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Q: Given the function z = = f(x,y) = 2y³ -5xy-3x²+2, find the equation of the tangent plane at (1,-1),…
A: Given problem:- Given the function z = f(x, y) = 2y³ −5xy-3x²+2, find the equation of the tangent…
Q: 1. There are initially 95 mg of a decaying radioactive substance, and after 10 hours there are 68…
A: Given: Initial amount of the radioactive material= 95mg After 10 hours amount is =68 mgTo find: Half…
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A: Given problem:- Find the volume V of the solid obtained by rotating the region bounded by the given…
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Q: 15 //dx Sº
A: Topic:- application of integration
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A: We have to find the velocity , acceleration vector and time at speed = 5.
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A: Solve the following
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A: Dino has 14 coins and 2 one-dollar bills. Which describes the relationship between the coins and the…
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A: Graphical transformation
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A: topic- derivative of a function
Q: find C= A.B for the following matrices [3 5] 4-2 18-[21] A = ;B
A: Topic = Matrix
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A: Given :Juliana invested : $5100Rate 5.50% p.a.Grow up to $5310
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Q: In this problem, please evaluate the trig functions without a calculator and de tion of the tangent…
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Q: Solve the following initial value problem. y+y"=6x+8e; y(0) = 1, y'(0) = 0, y''(0) = 1 The desired…
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Q: which means that and thus 2x 5x + 3 and g(x)= and g'(x) = D II 5x + 3
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Q: The Value of the integration for the below function shown is : sec²2xdx
A: We can solve the given problem as follows:
Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…
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Q: Describe the domain of the function. 1 g(x) = √8-x The domain of the function consists of all real…
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Q: Q5. Show that the following limits don't exist. x² 1) lim (x,y) (0,0) x2+y x-y 2) lim (x,y) (0,0)…
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Q: Ex.: Locate the centroid X of the shaded area shown. JİZZ 1 m
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Q: * Use the graph below to answer questions 7 and 8* The equation of the graph shown below is written…
A: This question can be solved using the concept of horizontal and vertical asymptote.
Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0
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A:
Q: Find the indefinite integral. f(e¹ i + j + costk) dt O ei + tj sint k O ei + tj + sint k O e¹i +…
A: We have to find the integral.
Q: Solve the differential equation: dy y+ = dx
A: Given query is to find the solution of the differential equation.
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- Find the curl of the vector field F(x,y,z)=x^2yi-2y^3zj-3zk. A. curl F = 2y3i + x2k B. curl F = -2y3i - x2k C. curl F = 2y3i - x2k D. curl F = -2y3i + kFind the work done by the vector field (5x + yx, x² + 3 ) or the boundary of the rectangle 0 < x< 3,0 < y < 6|in the counterclockwise direction. a particle moving along (The force is measured in newtons, length in meters, work in joules=(newton-meters).) W = joulesSketch the vector field represented by F (x, y) = (-x,y)
- Express the vector field B = (x^2- y^2)ay + xzaz in spherical coordinates at ( 4, 30o, 120o) * Express the vector field B = (x2 – y²)ay + xza, in spherical coordinates at ( 4, 30°, 120°) 6.78ar + 0.232ae + 9aØ -3.87ar - 0.332ae + 5aØ -9.87ar + 0.232ae + 6aØ O -3.87ar + 0.232ae + aØfind (a) div(f) (b) curl(f) if f=x^2(vector i)+y^2(vector j+2yz(vector k)Sketch and describe the vector field F (x, y) = (-y,2x)
- Let F(x, y) = ⟨xy^2+2x+1, x^2y − 3y⟩ be a vector field. Let C be the curve thatconsists of two line segments C1 and C2, where C1 has vertices (−1, 0) and (0, 1)and C2 has vertices (0, 1) and (1, 0). C is oriented clockwise.(a) Sketch C accurately.(b) Find the work done by F by moving a particle along the path C in the givendirection.Evaluate The Work Done By The Force Vector, F= (6x^2+3y)I – 15yzj + 10x^2zk From (0,0,0) To (1,1,1) Along The ff Paths In Space if the straight line joining (0,0,0) and (1,1,1)Consider the function F(x,y)=ax^2+y^2 Consider the function F(x,y)=ax2+y2 Verify that the origin is a critical point for both vector fields.Find the type of this critical point for each of two vector fields depending on a