(1 point) Use linear approximation, i.e. the tangent line, to approximate 15.3 as follows: Letf(x) = x2 and find the eq...
1) 2) 3) Use linear approximation, i.e. the tangent line, to approximate 15.22 as follows: Let f(x) = z² and find the equation of the tangent line to f(x) at x = 15. Using this, find your approximation for 15.22 Given the function below f(x) = -180x3 + 396 1. Answer in mx + b form. Find the equation of the tangent line to the graph of the function at x = L(2) Use the tangent line to approximate f(1.1)....
parta- Use linear approximation, i.e. the tangent line, to approximate as follows:Let f(x) = x 6. The equation of the tangent line to f(x) at x = 2 can be written in the form y = mx+b where is: and where is: Using this, we find our approximation for 1.86is Box 1: Enter your answer as a number (like 5, -3, 2.2) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box...
(1 point) Use linear approximation to approximate 36.4 as follows. Let f(x) = x. The equation of the tangent line to f(2) at x = 36 can be written in the form y = mx + b. Compute m and b. m = b= Using this find the approximation for 36.4. Answer:
Find the equation of the tangent line to the graph y=x√ at x=4. y = On graph paper, sketch the graph and the tangent line using the x-values 3.5,4,4.5. The tangent line provides a linear approximation to x√ near x=4. Use this approximation to find approximate values for 4.5‾‾‾√ and 5√
4. Use differentials to approximate (2.003)^3 [Hint: Tangent Line Approximation. Identify your x and your ∆x]
5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at the point (6,8,10), and use it to approximate f(6.15, 8.19) 12 Find the linear approximation to the equation f(x, y) = 5, Preview f(6.15, 8.19) Make sure your answer is accurate to at least three decimal places, or give an exact answer 5e= 2y at the point (4, 8, 5) |Find the tangent plane to the equation z Preview xy at...
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...
1. Find the equation of the tangent line to: a) y = x2 – 3 at the point (2,1) b) y = cos x at the point (1,1) c) y=e" at the point where r = 1 d) r3 + y3 = 19 at the point (3,-2) 2. Find the equation of the normal line to: a) y = r at the point (2,8) b) y=x+ at the point where x = 2 c) y = 2:03 - 5x +...
6. Find the equation of the tangent line at the given point. (a) x2 + y2 = 25,(-3, 4) (b) 2y - Vt = 4,(16, 2) (c) y + xy² + 1 = x + 2yº, x = 2
B and C Please! Rate for sure Letf be the function given by f(x)--16x2 +64x and let line l be the line tangent to the graph off atx-2, as shown in the figure to the right. Let R be the region bounded by the graph of f and the x-axis and let S be the region bounded by the graph of f line I, and the x-axis. a. Find the equation of line 1 C2- 64+61-12 - 72 C2,72 b....