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Q: Find dy/dx without changing the form of the given function and answer must be in the simplest form:…

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Q: 7 Find f(x) if f'(x)= and f(1) = 4. O A. f(x) = -28x-5 +32 -5-3 O B. f(x) = -28x 7 3 O C. f(x) = OD.…

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Q: Sketch the region described given y=ln(2x), the x-axis, and the line x=e b.) Set up the integral to…

A: Given problem:- a.) Sketch the region described given y=ln(2x), the x-axis, and the line x=e b.) Set…

Q: 0.6 T² 9 - 25x² dx

A: The given integral is x2/sqrt(9-25x2), limit from 0 to 0.6.

Q: Use the given information to sketch the graph of f. Domain: All real x, except x = -3; lim f(x) =…

A: From the given information: for x∈-∞,3∪(3, 5) , f'(x)>0 limx→-3-f(x)=∞ and limx→-3+f(x)=-∞ The…

Q: (True/False) Suppose the work done by a force F on a particle moving along a path C is given by x,…

A: True.

Q: Verify Green's Theorem by evaluating both integrals for the given path. + ON ax C: rectangle with…

A: In this question, we want to verify the green's Theorem.

Q: f(x) is continuous on (-∞,∞o). Use the given information to sketch the graph of f. f'(x) +++ 0…

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Q: A point is moving along the graph of a given function such that dx/dt is 2 centimeters per second.…

A: A point is moving along the graph of a given function such that dxdt is 2 centimeters per second. To…

Q: Problem 3: Find the value or values of c that satisfy the equation the mean value theorem for…

A: To find the value or values of c that the equation fb-fab-a=f'c in the conclusion of the mean value…

Q: Graph the level curves in the x-y plane the function f(x, y) = 2y- for z = -2,-1, 0, 1, and 2.

A: Given curve f(x,y)=2y-x23

Q: Give the Particular Solution of the following Differential Equation d²y 3 +2 dx² IBC: y(0) = 2 y'(0)…

A: The given differential equation is: 3d2ydx2+2dydx-8y=0 So, we can also write as; 3D2+2D-8y=0   The…

Q: If D is a subset of R and c is a cluster point of D, implies which of the following? (a) N*(c,1/n) n…

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Q: Question A particle moves along a line with a velocity v(t) = t2-9, measured in meters per second.…

A: Here, the velocity of the particle is: v(t)=t2-9 Now, v(t)=0⇒t2-9=0⇒t2=9⇒t=-3,3

Q: Which is (are) an implication(s) of the completeness property of R? (a) A nonempty bounded set of…

A: Completeness property of R:  If A⊂R has an upper bound, then it has a least upper bound.  If A⊂R has…

Q: Sketch the space curve. Vector-Valued Function r(t) = −ti + 3tj + 4tk Interval [0, 1]

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Q: Find a differential equation whose general solution is 7t y = c₁e¹t + c₂e-2t. y" - 5 y' - 14 y = 0 ✓

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Q: and the first partial derivatives with respect to x, y, anc 5xz x + y W W W || II || W =

A: Topic:- application of derivatives

Q: Question 4 of 8 View Policies Show Attempt History Your Answer Correct Answer (Used) Your answer is…

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Q: Find the AREA of the region bounded by: y = √√√x+2, y=x, and the x A. B. C. D. 37 6 19 6 10 3 16 3 F…

A: Topic = Area

Q: The formula for the volume of a cone is given below. Find the rate of change of the volume for each…

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Q: Given z=x^3+xy^2,  x=uv^3+w^2,   y=u+ve^w then find: ∂z/∂u when u=−1, v=−2, w=0u=-1, v=-2, w=0

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Q: Integrate (x²-x+6 x³ + 3x da

A: Our Aim is to evaluate the intgeral given below:-∫x2-x+6x3+3x-(i)

Q: 10 15 20 25 30 monthly salary S( t) in dollars for a dock worker shown above has the following cubic…

A: Please refer to the image below

Q: Find the value of b for which the differential equation (ye5ay + x) dx + (bxe5y) dy = 0 is exact,…

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Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: here the given differential equation  (6 -20y +e-5x)dx -4dy = 0 this can be written as  dy/dx +(5)y…

Q: Find f'(x) if f(x) = arcsin ve 0 f(x) = 2√1-2² 2√√√1-e 0 f(x)=√√² E² 21-e 1

A: Topic = Derivative

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: fo axy dx + 2xy dy, where Cis the rectangle bounded by x = -1.x = 1, y = 1, and y = 5. 6xy dx + 2xy…

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Q: L{F(t))} = √° e-stf(t) dt to be the Laplace transform of f, provid [6, 0≤t<3 lo, t≥ 3 lete the…

A: Topic:- application of integration

Q: At which points does f(x) = 2 sin x - cos 2x have an absolute maximum value and what is the maximum…

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Q: f(x, y) = x³ - 9xy + y² - 2 smaller y-value critical point classification larger y-value critical…

A: The given function is fx,y=x3-9xy+y3-2 we have to find the critical points and its classification

Q: 9. The table below gives selected values for the function f(x). With 5 rectangles, using the left…

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Q: Let F(x) = f(t) dt and G(x) = g(t) dt, where the graphs of f(x) and g(x) on [−2, 4] are below. -1…

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Q: S 2 x ²4x³-5 X e cote 4x³-5 dx

A: The objective of the question is evaluate the indefinite integral.

Q: As an object in rectilinear motion moves, its signed distance s (in meters) from the origin after t…

A: NOTE: Refresh your page if you can't see any equations. . the  given position function is to find…

Q: or Questions 1-3, use the differential equation given by 1. Complete the table of values -1 X y dy…

A: Put value in function

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

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Q: 3. A child holds a ball 4 feet above the ground and throws it. The ball follows a parabolic path…

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Q: Solve: x"-x+ 5 y'=t y" - 4y-2x = -2 with x(0) = y(0) = x'(0) = y'(0) = 0 Let L{x(t)} = U(s) &…

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Q: Determine whether the given set of functions is linearly independent on the interval (-00, 00).…

A: Given :  f1(x)=0  , f2(x)=x , f3(x)=ex   To Check : Given functions are linearly independent or…

Q: Sketch the space curve. Vector-Valued Function r(t) = -ti + 2tj + 6tk ** kk Find its length over the…

A: Given problem:- rt=-ti+2tj+6tk , [0,1]

Q: D O O 01 Evaluate lim N-00 O 12 Question 18 4 3/2 59 2 Σ [³ ( - )* - ( - )] + N by using it as a…

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Q: fy X = = 11 f(x, y) = (x² + y2)2/3

A: Given the query is to find indicated partial derivative.

Q: Determine the interval(s) on which the vector-valued function is continuous. (Enter your answer…

A: We have to find the interval on which the vector-valued function  rt = 13t+1i + 1tj  is continuous.

Q: 3 (1 + 2x - 4x³) dx

A: The given integral is ∫131+2x-4x3dx

Q: a)lim              (e^-x)(x^2+sinh(x+2))    x->∞   b) Find the point where the tangent to the…

A: find limit solve the parametric equation

Q: dyx+2y 2x+y dx

A: We have to find the general solution of differential equation

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.)…

A: O

Q: Find r(t) u(t). r(t) = (3-7)i + +³1+ j+ 4k u(t) = t²i - 8j + t³k r(t) u(t)= Is the result a…

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