5. Using tangent line approximation, approximate the value of: a. V9 b. 3.012 – 4(3.01) + 7

Q: Use linear approximation, i.e. the tangent line, to approximate V16.2 as follows: Let f(x) = Va.…

A:

Q: Find a formula for the error E(x) in the tangent line approximation for f(x)=√(1+x) near x=a=0 ?

A: Differentiate the function f with respect to x, to find f'(x). Substitute 0 for x in fx=1+x and…

Q: 3n If the normal to the curve y = f(x) at the point (3,4) makes an angle with the positive x-axis, 4…

A: (a) Normal to the curve y=fx at the point 3,4 makes an angle 3π4 with the positive x-axis then we…

Q: Use linear approximation, i.e. the tangent line, to approximate 3√64.4 as follows: Let f(x)=3√x. The…

A: Please see the explanation below

Q: Find the points on the lemniscate where the tangent is horizontal. 2(x² + y?)² = 25(x? – y?) (х, у)…

A:

Q: 10. Determine whether FG is tangent to OE. Explain. 26 12 17 E

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 2.7^6 as follows: Let f(x)=x^6. The…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate v25.3 as follows: Let f(x) = Vx.…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 5.855 as follows: Let f(x) = x°. The…

A: Please rate and feel free to ask any query.

Q: Does the graph of Sx²sin (1/x), x ± 0 f(x) = lo, x = 0 have a tangent line at the origin? Give…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 3.6^7 as follows: Let f(x)=x^7. The…

A:

Q: If we approximate f(2)=3.4 using the tangent line, where f'(2)=4, f"(2)=-3, then is this…

A: Clearly from the above statement as second derivative is negative so the actual value is less than…

Q: Ħ! Find the equation of the tangent line to the graph of f(x)= and is paralle I to the line x+2y=6…

A: A parallel line will have an equal slope.

Q: find the value of tangent LA. C 12

A: we know that tangent A =tan Afrom ∆ABCtan A=BCAC

Q: is the equation af tangent line at X=/ y = mx+b. to the giaph of f c) =x² -x at x=/ m%= b.

A:

Q: written

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 3.7° as follows: Let f(x) = x°. The…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate v25.4 as follows: Let f(x) = Vx.…

A:

Q: Use a tangent plane to approximate the value of the following function at the point (4.1, 4.9). Give…

A: Equation of Tangent Plane is  z=f(x0, y0)+fx(x0, y0)(x-x0)+fy(x0,y0)(y-y0)Linear Approximation of f…

Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 3.6° as follows: Let f(z) = a. The…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

A:

Q: Why is the limit of the secant line PQ to a curve as it approaches zero is the same as the slope of…

A:

Q: Find the points on the lemniscate where the tangent is horizontal. 2(x? + y²)2 = 25(x² – y²) (х, у)…

A:

Q: The tangent plane to the graph of the function :==3y+1=(1+y} at the point (1; 1; 3/2) contains point…

A: The given equation of the surface is z=x2y+1. Rearranging the above equation gives, w=z-x2y-1 Find…

Q: a, given that the line ax+y+1 = 0 is tangent to the grapl

A: We have to find the value of a according to the given information

Q: For what vaules of x in the interval [0,2π) does the fraph of g(x)= (√3)x+2sinx+7 have a horizontal…

A: For horizontal tangent,first derivative must be zero

Q: Use the tangent line approximation to approximate the quantity below. -2 In(1.03) + 4

A: Given -2ln(1.03)+4  Let the equation be  f(x)=-2ln(x)+4 Differentiate with respect to x  f'(x)=-2/x…

Q: Use linear approximation, i.e. the tangent line, to approximate 8.42 as follows: Let f(x) = x² and…

A:

Q: 5. Using tangent line approximation, approximate the value o a. Vỹ b. 3.012 – 4(3.01) + 7

A: Given line cube root of 9 then

Q: Find the slope of the tangent line using the Definition of a Tangent Line for: Y = X² –2× at the…

A: The definition of the slope of the tangent line at x=c is given by: limh→0fc+h-fch Given: y=x2-2x…

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) = Vx. The…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 0.252 as follows:

A: Linear approximation for a function at x=a is

Q: Use linear approximation, i.e. the tangent line, to approximate V8.1 as follows: Let f(x) = a. The…

A: To approximate ³√(8.1)

Q: The slope of the tangent line to the graoh of y = In x at x = a approaches infinity as a 0t. Select…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V125.2 as follows: Let f(x) = Va.…

A:

Q: Show that the sum of the x-intercept and y-intercept of any tangent line to the curve Va+ Vg = Vc is…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx.…

A:

Q: a) In exercise 1.1, describe the erro statement of the tangent ratio.

A: Given : The statement, Figure :

Q: 2i Find the eguation of the tangent: lime to tul Cur ve y=4x -x* at the point (l,3).

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V27.2 as follows: Let f(x) = Vx. The…

A:

Q: Find the length of tangent FG F 5+x 2x -5 E

A: Length of tangents of radius is always equal.

Q: Use linear approximation, i.e. the tangent line, to approximate V27.3 as follows: Let f(x) Vr. The…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V125.1 as follows: Let f(z) = VT.…

A: Given:   f(x) =x13   at x=125      We have to find the value of m, b and 125.13.. The equation of…

Q: Use linear approximation, i.e. the tangent line, to approximate V1.4 as follows: Let f(x) : Va. The…

A:

Q: Find the values of æ where the tangent line to the graph of f(x) 1 is parallel to the line y = – 6x…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 5.85° as follows: Let f(x) = x°. The…

A:

Q: tb is the equation af the tangent line f cx) = x² - x If m X to the guaph of at x =1 then m= b=

A:

Q: Find all values of x where tangent lines to y=x^5 and y=x^6 are parallel.

A:

Q: Use linear approximation, i.e. the tangent line, to approximate /16.3 as follows: Let f(x) = Vx.…

A: Given,           Use linear approximation, i.e. the tangent line, to approximate 16.3 as follows :…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.