Suppose (P. O) is the point on the graph of y =Vx closest to (1. 0) - What is the value of P+ 1-

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A: Given: Apply

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Q: Given y=xx+4). Plot any stationary points, inflections points, and cusps which may or may not exist.…

A: Given, y=x23x+4 Used formulas, ddxxn=nxn-1ddxconstant=0Product rule of…

Q: 1) Find the legth of the curve; y = e from x =1 to x = 2.

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Q: - Does the graph of fo, x< 0 1. r20 U(x) = have a vertical tangent line at the point (0, 1)? Give…

A: Given: The function To check: Whether the given graph has vertical tangent line at the point (0, 1)…

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A: Given,           hx=fx2+gx

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A: Given y=e-x2

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A: For horizontal tangent line at a point derivative of the given curve is zero , just used it and…

Q: Assume y = 3 · 5* is the equation for the blue line shown in the graph below, and that the black…

A: The equation of curve is:  y=3·5x

Q: (i) Find the values of k for which y= kx + 2 is a tangent to the curve y= 4x2+ 2x + 3.

A: If y = kx +2 is tangent to the curve y=4x2+2x+3, then the point of intersection of the line and the…

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

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Q: 1. Find for y defined implicitly by the equation dx

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Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: 4. Sketch the graph and find the relative extrema on the indicated interval: y = 4x1/3 + x1/3 [-2,2]

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Q: Find the point P on the graph of the function y = Vx closest to the point (3,0) The a coordinate of…

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Q: Find the length of the graph of ; a. f(x)=⅓x2 -⅔ between x=2 and x=3.  b. x=cost, y=sint from t=0…

A: See the detailed solution below.

Q: The families of curves represented by the solution of the equation dy dx for n = - 1 and n = + 1,…

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Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 ОВ. 1.363 O C. 2.718 O D. 1.372

A: Given Degrees of freedom (df)=11

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Q: 9.Reduce the general equation of the given straight line y-x 3=4 to the normal form.

A: y-x3 = 4for normal form equation should be in the form x cosα +y sinα = p∴-x3 +y = 4

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Q: A particle moves along the x-axis so that at time t ≥ 0, its position is given by x(t) = 2t3 - 3t2.…

A: V(t) = d[x(t)]/dt Put, v(t) &gt; 0.

Q: Two ships are sailing in the fog and being tracked on a small screen. At some point in time, t=0,…

A: Hi, thank you for the question. Since you have posted a question with multiple sub parts, as per the…

Q: The x- coordinate of the point on the graph of y = Vx-1 at which the tangent line is perpendicular…

A: slope of tangent of the curve y=x-1 is dydx=12x-1 slope at (x1, y1)dydx=12x1-1=m1if (x1, y1) is the…

Q: For a t-curve with df = 11, find the t-value to 10: O A. 1.280 В. 2.718 O C. 1.363 O D. 1.372

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Q: I grad(f)•dr where C is graph of y = x² + 3x from (0,0) to (2, 14) and f (x,y) = ev/lx*•1}

A: The function is fx, y=eyx+1. Find: ∫Cgradf·dr…

Q: 10. Circles tangent to the x-axis. Amm. (1+() =[yy +1+(

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Q: ind an equation of the tangent line to the graph of the function at the given poin y = (e - 4)2. (0,…

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Q: The equation for the line of best fit for some data comparing the height of a candle (H) with time…

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Q: If the position of a particle on the x-axis at time t is-5t", then the average velocity of the…

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Q: If s(t) is the position on the x-axis of a particle at time t, then the quantitys(t + h)−s(t) / h…

A: If s(t) is the position on the x-axis of a particle at time t,

Q: Solve the following initial value problem for y as a function of x. dy X- 3Dx? -9, х23, у(3)%3D0

A: By using integration formulas

Q: 9) Find the point(s), if any, where the graph has a horizontal tangent for 3x4 %3D = - 3x2 f(x) = 4…

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Q: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

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Q: The graph of the acceleration a(t) of a car measured in ft/s is shown. Use the Trapezoidal Rule with…

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Q: Sketch the graph of y = -3 sin(x) on the axes below. 4 3 2 -7/2 7/2 37/2 27 -1 -2 -3 -4

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Q: 1. Any function y = f(x) can be expressed as x = f(y) in standard mathematical methods for solving…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

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Q: 3. Find y' and the equation of the tangent line to the graph of In(ay) = y²-1 at (1,1). 11: 11:

A: We have to find y' and equation of tangent

Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: Which of the following is the equation of the normal at the x1= 1 abscissa point of the graph of the…

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Q: Choose the correct graph of y = sin x, -"sxS T: 1 -37 21 -1 -2

A: The given function is: y=sin x ;                 -3π2≤x≤π

Q: fa is a positive integer, then the slope of the tangent to the graph of y = a²a - aln(ax + 1) at a =…

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Q: 5. Find y' at the point (0, e) where xy² + In(x² + y) = 1.

A: Find y' = dy/dx At point (0, e)

Q: Find an equation for the e Foci: F(±2, 0), ver

A: The focii of the ellipse is ±2,0 . The vertices of the ellipse is ±3,0. The equation of the ellipse…

Q: Does the graph of S0, x< 0 U(x) = 1, x2 0 have a vertical tangent line at the point (0, 1)? your…

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Q: Sketch the graph of y = t + sin t for 0 ≤ t ≤ 2π.

A: The given function is y=t+sin t    for  0≤t≤2π. Sketch the graph of the above function as shown…

Q: Q4) Find the equation of the normal to the curve [y+x(1+y)-4] at point (2,1).

A: Given equation is y2+x1+y-4=0 and we have to find the equation of normal to the…