! The circumference of a sphere was measured to be 80.000 cm with a possible error of 0.50000 cm. Use linear approximation to estimate the maximum error in the calculated surface area. (80)/(pi) Estimate the relative error in the calculated surface area.

Q: Find the normal to the curve y = 1 - x at the point (3, -8).

A:

Q: Estimate using the Linear Approximation and find the error using a calculator. ln(0.97)

A: Linear Approximation of ∆f If f is differentiable at x=a and ∆x is small,then ∆f≈.f'(a)∆x…

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: Find the tangent and normal line to the curve at the specified condition.  y = x ( 4x - 1 )2 at…

A: The tangent line is a straight line to the curve that touches the curve at a single point. The…

Q: Find the equation of the tangent line and normal line to the curve y= √( x− 3) at (4,1).

A:

Q: find the slope Of the followiny functions at the gruen point: at Xo to JL

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Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Estimate the slope of the tangent line at the point indicated. P(x) = ex ; x=0

A:

Q: The relative error of f is . The relative error in the calculation of the area Af of a circle must…

A:

Q: Find the tangent line approximation for V5 + x near a 4.

A: Find your answer below

Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

A:

Q: The line is tangent to the curve y=x2−3 at (2,1). What is the equation of the normal line?

A: On solving this we will get

Q: Y = ( ***)3 x+1 at x = 3 x-1

A: the equation of the given curve is: y=x+1x-13 the given point is x=3 we have to find the equation of…

Q: 4. A. Use the tangent line to find a linear approximation to the function f (x) = Vx near x = 64.…

A:

Q: Use linear approximation to approximate the value of In(20) without the need for a calculator. Up to…

A: Given:      Linear approximation of ln (20)

Q: Calculate the length of the tangent line, normal line, sub-tangent and subnormal from: a. 4x² + 9y =…

A:

Q: Find the equations of the tangent and the normal at the point indicated. y = 2 + 4x - x2 at x= -1

A: Given : The equation of the curve is y=2+4x-x2 at x=-1 Let m= the slope of the tangent line at x==-1…

Q: How does Taylor’s formula for a function ƒ(x, y) generate polyno-mial approximations and error…

A:

Q: Find the point on the line y = x closest to the point (1, 0). Hint: It is equivalent and easier to…

A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: nd the equation of the normal line to the curve y 3x2 - 2x + 1 at (2, 9).

A: To find the equation of normal line to the curve y=3x2-2x+1 at (2,9) Solution: Given equation of the…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

A:

Q: The volume V of a cylinder is computed using the values 4.5m for the diameter and 8.6m for the…

A: Given : height of cylinder is 8.6 cm and diameter of cylinder is 4.5m error in diameter is given by…

Q: If f(x) describes the position of an object over time, what is the average velocity on the interval…

A:

Q: The circumference of a sphere was measured to be 8282 cm with a possible error of 0.50.5 cm. Use…

A:

Q: If a right triangle has legs 6 and 8, its hypotenuse is 10. The triangle will be inscribed within a…

A:

Q: The vertical distance between the actual value of Y and the estimated value of Y is known as _____.

A:

Q: What is the slope of the normal line to the curve y= In(xª + 1) at x=1,

A:

Q: Find the slope of the tangent and normal to the curve  y=2x2+3sinx at x=0

A:

Q: The cube root of 512 is 8. How much larger is the cube root of 514.4? Estimate using the Linear…

A:

Q: 9. The surface area of a cylinder is A = 2h+2². If the radius is measured to be 6 inches with a max…

A: Given, Surface area of cylinder, A=2πrh+2πr2 Given radius r=6in with maximum possible error dr =…

Q: Find the equation of the tangent line and the normal line of the curves at given point 1. y = x V16…

A: Equation of tangent line Consider y=x16+x2slope of the tangent line is dydx  at…

Q: The centripetal acceleration of a particle moving in a circle is a = v2 -, where v is the velocity…

A:

Q: 30. Based on the R output, the most appropriate coefficient to describe the relationship between…

A: The R-output of Pearson's correlation and Spearman's correlation is given.

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (3.97) =

A:

Q: Find the equation of the normal line at 2 x = 0 to the curve, y + 0. x – 3 %3D -

A: Given: Equation of the curve…

Q: the side of a sqaure is 10 cm. find the approximately, by using differential, the increase in the…

A: Given that side of a square a is 10cm and it is increased by 0.02cm.

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

A: Given that x=4 sin ty=cos 2t Find the slope of the normal at t=π4 find the slope of normal and then…

Q: . Use a linear approximation to approximate V143. (Be sure to show enough work so I can tell you're…

A:

Q: Find the normal and the tangent line at y = x³ – 7x + 6 at the point of intersection with the…

A: Giveny=x3-7x+6y=x3-4x-3x+6y=x(x2-4)-3(x-2)y=x(x-2)(x+2)-3(x-2)y=(x-2)x(x+2)-3y=x-2x2+2x-3y=x-2x2+3x-…

Q: Find the average rate of change and the equation of the secant line for 2x f (x) = from -1 to 3. x²…

A:

Q: The x value(s) of the point(s) where the tangent line(s) to the curve y = ³ - 6x that have a slope…

A: Here we have to find the value of x.

Q: x+2 3. y = ( X-2 at x = 1

A:

Q: Use the trapezium rule, with 4 strips, to estimate fe-a* dx on [0, 2]. What is the maximum error?…

A: Given integration is : ∫02e-x2dx The formula used in trapezium rule is :…

Q: Use an appropriate local linear approximation to estimate the value of the given quantity. (1.97) =

A:

Q: Find the points on the curve y = 2x3 + 3x2 − 12x + 9 where the tangent line is horizontal. a)…

A:

Q: Find the area A of the largest rectangle that can be inscribed under the curve of the equation below…

A: Given that the rectangle inscribed under the curves of the equation in the first and second…

Q: Find the tangent line approximation for v3 + x near x = 4. V

A: Find the derivative and then substitute the points to get the tangent line equation.

Q: How many subdivisions should be used in the trapezoidal rule to approximate S with an error whose…

A: Trapezoidal rule is an integarl used to approximate the area under the curve by dividing the area…

Q: Find the equation of the Normal Line to the curve y² = X at (4, 2)

A: Given that,Equation of the curve is y2=x We need to find the equation of the normal line to the…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.