The point (4,7) lies on the graph of f(x) State the coordinates of the image of this point under the transformation y-2= F(x+1)

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Q: (a) Using the Linearity theorem and the tables, compute the Laplace transform of sin² (3t+2).

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Q: 11. The following table shows values of a periodic function f(t). f(t) 41-2141-21 Which of the…

A: Given t 0 1 2 3 4 5 6 7 f(t) 4 1 -2 1 4 1 -2 1

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A: x-y=24x-2z=304y+z=12

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Q: Set up the definite integral that gives the area of the region. Y₁ = (x - 1)³ Y2 Y₂ = x - 1 1 6²[ S…

A: Area of the between two curves

Q: 7. Evaluate the following expression: 10! 6! 4!

A: => 10!/(6!.4!)

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A: A rectangle is constructed with its base on the x-axis and two vertices on the  parabola y=196-x2.…

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A: Consider the parametric curve with equations x=t2, y=t3-3t. (a) To find dydx. (b) To find the…

Q: how the Taylor formula was applied how did we get those numbers and why is x in absolute value

A: As given in the question, dom f = x∈ℝ| x2+3x=xx+3≥0 = (-∞,-3]∪[0,∞) f(x)=x2+3x is a polynomial…

Q: M Find the distance from the point (-2,6,4) to the line ä(t) = (-1,3, 5)t + (-9, -3,-2). 8266 √35 20…

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Q: Find a positive number a such that the sum of 4x and is as small as possible. x Does this problem…

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Q: Evaluate the triple iterated integral. /4 (9 9 19-r rz dz dr de

A: The triple integral is given by To determine: The solution of the integral.

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A: Given indefinite integral ∫x2 + 3x + 5x + 1dx

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Q: The function f(x)=0.06x+100 represents the rate of flow of money in dollars per year. Assume a…

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Q: 5. Compute the integral by interpreting it as the area of a region bounded by the curve and the…

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Q: 1. Evaluate 4- 2x dx using the Area Interpretation.

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Q: Rewrite the polar equation 7 mmmm Submit Question 6 sin() as a Cartesian equation. Question Help:…

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Q: PROBLEM NUMBER 6 Solve 3y²+x=0, where y=5, when x = 0.

A: We shall use separation of variable then direct integration to solve IVP

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A: Fx,y=e2x+x2y, e2y-x2y   C is the circle x2+y2=4 oriented clockwise. Here r=2

Q: The function f(x)=1200x-100x represents the rate of flow of money in dollars per year. Assume a…

A: f(x) = 1200x -100x2 r = 4%

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Q: Use the graph to evaluate the limit. lim f(x) -6-5 k 2 3 4 5 6 x

A: The existence of limit at x=a⇒limx→a-fx=limx→a+fx=limx→afx

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Q: Find the general indefinite integral. Use an upper-case C for any arbitrary constants. Se sin (7x) 6…

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Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: The given vector field is: F(x, y, z)=y cos(xy) i+x cos(xy) j-2 sin(z) k

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Q: Find the general indefinite integral. Use an upper-case C for any arbitrary constant sin (7x) 6 +…

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Q: Find the volume of the solid obtained by rotating the region underneath the graph of the function…

A: ⇒ given  f(x)=x2+9,   [0,1]formula of volume(V) is→⇒ V=∫ab2πxf(x)dx

Q: suppose u = f(x,y) and v = g(x,y) with xy+2xu+3xv+uv-1=0 and 2xy+3yu-2xv+2uv+2=0 find jacobian…

A: The given system of equations is: u=f(x,y).    and     v=g(x,y)  with xy+2xu+3xv+vu−1=0…

Q: 12. Write the augmented matrix of the given system of equations. x-5y = 7 9x+3y = 5 The augmented…

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Q: Write a polar equation for the graph below. Enter theta for if needed. -3 -2 T(0) = ← 3 T 3 a

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Q: Find u v, uu,u², (u v)v, and u u = (5,-8, 8), v = (-6, -1, 2) (a). u. v (b) (c) (d) (e) UU ||u||²…

A: (d) given u=<5,-8,8>  and  v=<-6,-1,2>

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Question 7 3- 2 -5-4-3-2-1 H -2 -3 - 4

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Q: Find the area between the curves. x= − 3, x= 3, y=2e²x, y=e²x +1 The area between the curves is…

A: The equation of the curves are C1: y=2e2xC2: y=e2x+1C3: x=-3C4: x=3 To evaluate: The area between…

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Q: 1 = [0) R : R-xd= xp

A: given,  dydx=ex-y  and  y(0)=1

Q: 62x(x2-1)30 dx

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Q: 2. Find the centroid of the region R = {(x,y): x ≥ y²/2, x ≤ y}.

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Q: Graph the equations and shade the area of the region between the curves. If necessary, break the…

A: Area of curve

Q: 25. [2.x² 2x² + y² = 18 = = 4 xy =

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Q: Integrate f(x,y) = √√4-x² over the smaller sector cut from the disk x² + y² ≤ 4 by the rays 0 = H…

A: The given function is:f(x, y)=4-x2We have to integrate the given function over the smaller sector…

Q: Five years ago, you acquired a 30-year loan of $130,850, charging 6.5% annual interest, compounded…

A: we have to need two formulas. They are:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: The volume formula is

Q: Given that x 1 2 3 4 5 6 y = f(x) 1 8 27 64 125 216 Find dy dx and d2y dx 2 at x = 1 and x = 6

A: We need to solve derivative problem.