Plot the x-intercepts of the function ƒ (z) = zª + 3z³ – 4z² – 12z.

Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x %3D

A: Given , the function f(x) = x2 - 2x Now we find      f(1) = 12 - 2•1 = 1 - 2 = -1,…

Q: f(x) = −x2 + 6x − 12 y-intercept(x, y)=

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Q: Find the slope of the secant line between x=2 and x=5 on the graph of the function f(x)=−2x2+2x+3.

A: We have to find  the slope of the secant line between x=2 and x=5 on the graph of the function…

Q: Pls help, ASAP

A: Consider the given function fx=4x2-10x+3. Obtain the slope of the secant line to the curve…

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

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Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: ind the equation of line (L) that passes through the intersection point of he two functions y = v2 –…

A: According to the question, we need to find the equation of line perpendicular to the line 2x-4y=6…

Q: Find y as a function of t if 3y′′+31y=0 y(0)=7, y′(0)=3

A: Find y as a function of t if 3y′′+31y=0 y(0)=7, y′(0)=3

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

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Q: Find an equation of the secant line containing (1, f(1)) and (2, f(2)). f(x) = x² - 2x

A: Rule:-equation of line passing thraught (x1,y1) and (x2,y2) is y-y1=y2-y1x2-x1(x-x1)

Q: find the point at which the line g(x)=−1x+0g(x)=-1x+0 intersects the line k(x)=−4x+9

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Q: Find the slope of the secant line connecting the points on the graph f(x)=2h+4x-12, with the given…

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Q: The function f(x, y) = -3y + 2√√ry is a

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Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: Find the equation of the secant line on the curve f(x) = -x²+2 passing through the points xo = -1…

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Q: Find the the stationary points and the local extreme values of the function f(x, y) = −2x/x2 + y2+1

A: The objective is to find the stationary points and the local extreme values for the function…

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: Find the slope of the secant line between x=−2 and x=3 on the graph of the function f(x)=−2x2 −5x+1.

A: The point on the graph when x =-2 is given by plugging x=-2 in the function:Hence, the point on the…

Q: Find f'(2) if y = f(x) is the nonnegative function defined for x, y > 0 by the equation x" = y?.

A: To find f’ (2), if y = f (x).

Q: Find the X coordinates to the curve Y= X^5 - 5X^4 when the gradient = 0

A: Given equation is Y= x5- 5x4 Gradient =0

Q: Use a formula to express y as a function of t if y = 6x + 4x and x = t- 1.

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Q: The slope of the curve y =x' + 3x² – 4x+5 at (1,5) is O a. 0 O b. 2 O c. 5 O d. 4

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: In this question given that two line which are intersect each other and and a line is perpendicular…

Q: Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding…

A: To find equation of vertical trace we need to substitute value of variable in the given equation of…

Q: Q1/a) Find the curve whose slope at the point (x,y) is 3x2 if the curve is also passes through the…

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Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

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Q: The slope of the curve y- xy- 3x = 1 at the point (0, -1) is а. 1 с. -1 b. 2 d. -2

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Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: Find the maximum and minimum values of f(x, y)=x+3xy2-3x2-3y²+4.

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Q: Determine the slope of the curve x2+ y2– 6x – 4y – 21 = 0 at (0, 7).

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Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: For what value of x will the curve y = x3 - 3x2 + 4 be concave upward?

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Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: The product of slope of perpendicular lines is -1  and slopes of two parallel line are equal. The…

Q: 4. Find all the points at which the direction of fastest increment of the function f(x, y) = x² + y²…

A: According to question,Given Function,fx, y = x2 + y2 -2x -2y

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

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Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: Find the slope of the curve f(x)= x2 at the point P(2,4)

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Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

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Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: Find the point at which the line f(x) = - 3x +8 intersects the line g(x) = -5z + 16 %3D %3D

A: Given f(x)=-3x+8 g(x)=-5x+16

Q: Find the equation of line (L) that passes through the intersection point of the two functions y = v2…

A: Given functions: y=2-x2y-2x+3=0 Equation of perpendicular line is, 2x-4y=6

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: Determine the slope of the curve x2 + y2 – 6x – 4y – 21 = 0 at ( 0, 7 ).

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Q: Find the equation of line (L) that passes through the intersection point of che two functions y = v2…

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Q: Find the y-intercept of the line tangent to y=(x' – 4x² + 8)en * at x = 2. а. -21.032 b. -2.081 с. 0…

A: Topic:- Application of Derivative  Correct option = d

Q: Find the slope of the curve x3y3 + y2 = x + y at the points (1, 1) and (1, -1).

A: Given,

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.