Using the Tangent Line to Approximate Function Values - Page 2
Questions
- Approximate the number #4 sqrt(1.1)# using the tangent line approximation to the curve y = f(x) when x is near the target 1.1? **hint use: #f(x) ≈ f(a) + f′(a)(x−a)#**
- What is the linear approximation of a function?
- How do you find the linearization at a=0 of #f(x) = e^(5 x)#?
- #AA x,y,z in RR f(x+y+z) = f(x)f(y)f(z)!=0# & #f(2)=5 , f'(0)=2# then find the value of #f'(2)# ?
- How do you find the linearization of #sqrt(7+2x)# at the point a=0?
- How do you use the tangent line approximation to approximate the value of #ln(1004)# ?
- How do you find the tangent line approximation for #f(x)=sqrt(1+x)# near #x=0# ?
- How do you find the linearization of #f(x) = x^(1/2)# at a=16?
- Use Newton's method to approximate the given number correct to eight decimal places?
- How do you find the linearization at a=1 of #f(x) = 2 ln(x)#?
- How do you find the linearization of the function #z=xsqrt(y)# at the point (-7, 64)?
- How do you find the linearization of #f(x) = x^4 + 5x^2# at a=-1?
- How do you find the linearization at a=3 of # f(x) = 2x³ + 4x² + 6#?
- How do you find the linearization of #f(x) = x^(1/2) # at x=25?
- How do you find the linearization at a=16 of #f(x) = x¾#?
- How do you find the linearization at x=2 of #f(x) = 3x - 2/x^2#?
- How do you find the linearization of #f(x) = x^4 + 5x^2# at the point a=1?
- How do you find the linearization at a=pi/4 of #f(x)=cos^2(x)#?
- How many seconds will the ball be going upward if a ball is thrown vertically upward from the ground with the initial velocity of 56 feet per second and the acceleration due to gravity is #-32 (ft)/t^2#?
- How do you find the linear approximation of #f(x)=ln(x)# at #x=1# ?