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(1-2)2 +16 at 3. [8 marks) Find the equation of the tangent to the curve y=...
y^2-3x-4y-1=0 3. Find the equation of the tangent line and the equation of the perpendicular line to the curve y? - 3x - 4y - 1 = 0 at (-2, 1) at the given point. 2 marks.
16. [10pts.) Find an equation of the tangent line to the curve y = 4x2 at the given point (1,1). Find the slope using the definition of the derivative: f'(x)= lim f(x+h)-f(x) h
d²y Find an equation for the line tangent to the curve at the point defined by the given value of t. Also, find the value of at this point dx x= 16 cost. y = 4 sint, t = 7 л 2 The equation represents the line tangent to the curve att (Type an exact answer, using radicals as needed.) dy The value of att is dx? (Type an exact answer, using radicals as needed.) 70 4
please Show clear work and step-by-step instructionsFind the slope and equation of line tangent to the curve y = (2x-16)/√x at x = 4.
The equation of this Find the equation of the tangent Line to the curve y = 6 tan z at the point (536). tangent line can be written in the form y = mx + b where mis: and where bis:
22 +2 • Find an equation for the tangent to the curve y = 20-5 • Where else will a tangent be parallel to this one? at x = 4.
Find the tangent equation to the given curve that passes through the point (4, 3). Note that due to the t2 in the x equation and the 3 in the y equation, the equation in the parameter t has more than one solution. This means that there is a second tangent equation to the given curve that passes through a different point. x = 3t2+1 y = 2t3 + 1 y = (tangent at smaller t) y = (tangent at larger t)
Find the equation of tangent line to the curve y = x2 – \sqrt[3]{x} at the point (-1,0).
Find an equation for the line that is tangent to the curve y = 3x3 - 3x at the point (-1,0). The equation is y=1 (Type an expression using x as the variable.)
13) Find an equation of the tangent line to the curve y=sin(5x)+cos(8x) at the point (π/6,y(π/6)). what is the tangent line: 14) f(x)=4x^2cos(4x) what is the first and second derivatives and solve both for F(5) NOTE There should be four answers! 16) Suppose that f(x)=3x/(4−5x^)3 find an equation for the tangent line to the graph of f at x=2. the tangent line: y=