1. Consider the function 1(2) = - - dz -3 a) Determine f(-4), f(»), and f(a + h).

Q: Give Three Functions  of Wronskian ?

A: To Give: Wronskian of three functions.   Wronskian:

Q: 1 Use the power rule to find the derivative of f(x) = Vx 15 f'(x) = %3D

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Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

A: Given that f(x)=x2 To find two tangents that passes through (-1,-3)

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: (4-х, XS0 10) Determine if the function y(X) = 3x, is differentiable at x =0. x>0

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Q: Show that f(z) = 3z2 + 2z + 5 is analytic function.

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Q: Find distance between point A(1,3) Perpenclicular on the line L: 2y =2 +X

A: Use the following formula: The perpendicular distance from the point A(x1,y1) to the line ax+by+c=0…

Q: Find a function f so that the maximum rate of change occurs in the direction of u = (1/sqrt(5))…

A: The maximum rate of change occurs at ||grad(f)||. We are given that,       We know that the maximum…

Q: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]?

A: verify mean value theorem for the function f(x)=4x3 over ihe interval [0,2 ]

Q: Let f(x)=," 1 Use the definition (first principle) to determine the 1-x derivative of ƒ(x).

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Q: Find f-(-1,1) of the function: f(x, y) = x + xy +2a°y?

A: Let's find.

Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

A: Topic - tangent lines to curve passing through Given point outside curve

Q: Use the limit definition to calculate the derivative of the linear function.            f(x) = 12

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2 x2 + 3x using First…

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Q: Find the area of a triangle bounded by the y axis, the line f(x) = 5 - -2, and the line 4…

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Q: Find the equation of the tangent plane to the graph of 9y f(x, y) = at the point (4, –-1). (Use…

A: The Equation of the tangent plane: - z0=(x0,y0) is a point in the domain of f, and defined by a…

Q: 13 Use the power rule to find the derivative of f(x) = Vx. %3D f'(x) =

A:

Q: The slope of the tangent line to the graph of f(r) at the point (-7,5) is The equation of the…

A: Topic - equation and slope of tangent line to curve

Q: 7. Find the slope of the tangent line at point (-2,2) on the curve f(x) = 2x² + 3x using First…

A:

Q: The slope of the tangent line to the graph of the function y = 9/ – 2 at (4, 16) is - -5.00 2.25…

A: To find the slope of the tangent line for the given function at (4,16)

Q: Find the absolute extrema of the function on the closed interval.

A: Given,  The function is  y=3-t-3 Interval is [-1,5] The given function is a modulus function which…

Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: Find the equation of a tangent line to the graph of f(x) = x² – 2X at (-2,8). TYPE IN THE EQUATION…

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Q: The tangent line to y = f(x) at (-1,-8) passes through the point (-7,5). Compute the following a.)…

A: The tangent line to y=f(x) at (-1,-8) passes through the point (-7,5)

Q: Find the slope of line drawn tangent to the function. f(x)=x2+7, at the point (-2,11) by using the…

A: Shape of tangent line to the curve is given by first derivative of curve at given periodDerivative…

Q: Obtain the tangent line of the function y= 2x^2 + 3x + 2 at the point (1,7

A: Given: - The function is, y=2x2+3x+2 at the point (1,7) To find: - The equation of the tangent line…

Q: Show that xy² cannot be real part of an analytic function.

A: Real part and Imaginary part of  analytic function is satisfying the harmonic.

Q: 6. Use the definition of derivative to find f'(x) if f(x) 3D х2 — Зх — 4

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Q: What is the equation of the tangent line to the function y=x²-1 at a point (2,3)?

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Q: when that this 1x² + y² Shothathis sho (x, y) (0,0) and f(0,0) function is continous at (0,0)

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Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: Find the equation of the tangent line to the function f(x) 8vx - 4 at the point (64, 60). Provide…

A: Calculate the slope of the given function;

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

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Q: Use Secant Method to calculate the root of a function f(x) = e-*(3.2sinx – 0.5cosx) on the interval…

A: To use decant method to calculate the root of a function

Q: Locate and classify all the critical points of the function. (If an answer does not exist, enter…

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Q: Find an equation of the tangent line to the curve y = 2x2 + 3 that is parallel to the line 8x – y+ 3…

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Q: Find the point on the line y 2 x-3 that is nearest to tne ofigin.

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Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

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Q: determine maximums and minimums by the Second Derivative Test, we differentiate y"=72 / (2-8)3…

A: topic  - local maxima and minima

Q: The slope of the tangent line to the graph of the function y = 8Vx - 2 at (4, 14) is . O-3.50 O2…

A: We will find the derivative of the function y and evaluate it at x = 4 to find the slope of the…

Q: For what value of the constant c is the function f continuous on (-∞, 00) ? if x < 3 cx2 + 8x F(x) =…

A: To find: The value of c if function is continuous at -∞,∞. Given: The function is fx=cx2+8x   if…

Q: Find the equation of the tangent plane to the graph of f(x, y) = In (13x² 10y²) %3D at the point (1,…

A: Solution is written in below steps.

Q: Find points of discontunity of the function,where k is real number 1 f(x, y) sin(4 – x2 – y?) - -

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Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: FIND THE SLOPE OF THE TANGENT LINE TO THE GRAPH OF THE FUNCTION f(x) = 5- x2 AT (3,–4). %3D

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Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given

Q: Find the equation of the tangent line to the function f(x) = 8/x - 2 at the point (64, 62). Provide…

A: To determine the equation of the tangent in the form y =mx+b

Q: 1. Y = 2 – 7.x fa) — 4 — 5х — 21? 2. 3. Y = 2x³ – 3.x

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Q: #8.) Determine the slope of the tangent at point (1,4) on the graph of f(x) = (9-x²) ²/

A: Topic = Derivative As per guidelines , At a time only one question can be answered. Please repost…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.