Q: C- for the function below, the domain and the range is respectively y = y=√16-x²
A: Given :y=16-x2
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A: Topic:- application of derivatives
Q: D- for the function below, the domain and the range is respectively y = x²/5
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Q: Find and simplify the expression if f(x)=x²-11. f(4x)
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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.
Q: To which of the following scenarios could the equation dT dt -k(T- with solution T(t) = 25+ 35€ k> 0…
A:
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…
Q: B) Solve the following 3x -dx (x + 5)(2x - 1)
A: Topic = Integration
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Q: 4 [*ƒ 2 [ (8f(x) 11g(x)) dx = Use the fact that [²ƒ(2) dz = f(z) = [₁ (81(x) - f(x) dx = 26 and 4 Lª…
A: I am going to solve the problem by using some simple calculus to get the required result of the…
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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)
Q: Write the solution statement for all of the solutions to the equation 6√√2csc(0) - 4√6=0
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Q: I 2ex e3x tex dx
A:
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: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…
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Q: Problem 7. The base of a 50-foot ladder is being pulled away from a wall at a rate of 10 feet per…
A: Given: Length of ladder = 50 foot Rate at which it is pulled, VC = 10 feet/sec
Q: For the following problems, use the method of shells to approximate the volumes of some common…
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Q: 15 //dx Sº
A: Topic:- application of integration
Q: Q1. Let r(t) = i + 3tj + t²k be the position of a particle in space at time t. Find the following:…
A: We have to find the velocity , acceleration vector and time at speed = 5.
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A: Given: 8x+17y=31To Find: does given equation is function of x
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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…
Q: e the graph of f(x) is given. Describe verbally how the graphs of the following functions can be…
A: Graphical transformation
Q: Consider the function f (x) = x3 −3x2 + 2. Find f ′′(0) and f ′′(2). Deter- mine whether the…
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
Q: 9. For the polynomial function f(x)= x³ - bx² + cx-24 where b,cel, all of the following are…
A: The given function is a cubic polynomial: f(x)=x3-bx2+cx-24 , here b,c∈I If p is a zero of that…
Q: The velocity (in feet/second) of a projectile t seconds after it is launched from a height of 10…
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Q: WHich of the following represents the shell height if the shell method will be used to find the…
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Q: 1. y' = x y+x²y
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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…
A:
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: A train which is traveling at 100 mi/hr applies its brakes as it reaches point A and slows down with…
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Q: SHOW FULL SOLUTION. DIFFERENTIAL CALCULUS. To measure the area of a quadrangle, two students decided…
A: The objective of the question is evaluate the distance between A and B.
Q: Find the roots of the differential equation: y"+4y' + 6y = 0
A:
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
A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…
Q: d. 2x³ + 1 x4 + 2x 12x -dx h. 1 ²x² - 2x + 1 x² dx
A:
Q: Find the indefinite integral. f(e¹ i + j + costk) dt O ei + tj sint k O ei + tj + sint k O e¹i +…
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Q: Solve the differential equation: dy y+ = dx
A: Given query is to find the solution of the differential equation.
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Solved in 2 steps
- Find an orthonormal basis for the subspace of Euclidean 3 space below. W={(x1,x2,x3):x1+x2+x3=0}Show that Green's Theorem holds for the vector fieldF(x, y)=(x +y, 3x) at a square of side 2.Find the divergence of the vector field F→(x,y,z)=xyzi→−yzj→+xzk→at the point (8,3,2) . Enter the exact answer. divF→(8,3,2)=
- Show that the vector field F(x,y,z)=(−5ycos(9x),9xsin(−5y),0) is not a gradient vector field by computing its curl. How does this show what you intended? curl(F)=∇×F=?Calculate the integral line of vector field F(x,y) around the circle x²+y²=1 oriented counterclockwise.Find the work done in moving a particle in a force field F = 3xyi - 5xyzj + 10xk along: straight line (0,0,0) to (2,3,4) space curve x = 2t3, y = 2t2 , z = 3t3-t2 from t = 0 to t = 3 The curve defined by x2 = 4y, 3x3 = 8z from x = 1 to x=3
- Let W be the region between the sphere of radius 4 and the cube of side 1, both centered at the origin. What is the flux through the boundary S = aw of a vector field F whose divergence has the constant value div(F) = -4?Show that (vector)F = <ln(y) + y/x, ln(x) + x/y > is a gradient field. Then find a potential function f for (vector) F.A particle starts at the point (−4, 0), moves along the x-axis to (4, 0), and then along the semicircle y = 16 − x2 to the starting point. Use Green's Theorem to find the work done on this particle by the force field F(x, y) = 5x, x3 + 3xy2 .