- The equation f(x) = Inx-x +3 has a root in the interval (4,5). Obtain the roo correct to three decimals places. %3D

Q: C. If h(x) = [f(x)]² + g(x),what is the equation of the line tangent to the graph of h at x = -2?…

A: First we will find derivative of h(x) at x=(-2) that gives the slope of the required tangent.

Q: Where does f(x)=x³-3x²+2x -7h have tangent lines that are parallel to y 2x-7? Selected Answers:

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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: For what values of x does the graph of f(x)=2x^3+15x^2−36x−5 have a horizontal tangent line?

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Q: Find the area of a triangle bounded by the y axis, the line f(z) = 9 -1, and the line perpendicular…

A:

Q: At which of the labeled points does f' (x) = 1? B

A: The graph of the function is given by To evaluate : The point at which f'(x) = 1

Q: By using fixed points find the roots of equation f(x) = x + 4x –- 2 x, = 0 E= 0. .0001

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Q: The tangent to the function, f(x) = -2x² + 3 at the point (-1, 1) is the hypotenuse of right…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: Find the direction in which the function is increasing most rapidly at the point Po. f(x.y) = xy? -…

A: Given,     f(x,y)=xy2-yx2

Q: Find an equation for the line tangent to the graph of f(x)=−7xe^x at the point (a,f(a)) for a=2.

A: Given:

Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

A:

Q: On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does the graph cross the…

A: The given function is fx=sinx. Calculate the interval [2π,4π), for what value of x does the graph…

Q: The slope of the tangent to the graph of f(x)=-Vx² - 1 at the point (-1, 0) is 1. a) man =0 b) man =…

A:

Q: 8. The line y = -4x + b is tangent to the curve f(x) = 2x² – 8x + 12. Determine the value of b. %3D

A: The equation of the tangent at a point h,k on a curve y=f(x) is given by, y-k=f'(h) (x-h)

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Q2: By the false position method, find approximation value of the root for f(x) = ex - 2 with &…

A: False Position Method : An algorithm for finding roots which retains that prior estimate for which…

Q: Find the absolute extrema of h(x)=3x÷2 on {-2,3}.

A: H(x) is the straight line so absolute extrema will be at ends on domain

Q: Find where f (x) = x7 – 1000 intersects the x-axis; find solution to correct in 8 decimal places.

A:

Q: - Plot the function y=(3cos(x)-sin(x))*e®* -0.2x for -45x9 with increment-D0.1

A: Here, the given function is  y=(3 cos(x) -sin(x))e-0.2x for the interval -4≤x≤9 with increment…

Q: Find the absolute extrema of the function y = √x - 9 on the interval [9, 45].

A: To find the absolute extrema of the function y=x-9 on the interval 9, 45.

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Find an equation for the line tangent to the graph of  f(x) = 6xex at the point (a,f(a)) for a =3

A: To write down the equation of the tangent to the curve at the given point

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

A: Given that: f(x)=19-4x2

Q: Please

A: For concave downward, f''(x) < 0 f(x) = (1-1/x)2 = 1 - 2/x + 1/x2 f'(x) =2/x2 - 2/x3 f''(x) =…

Q: 5. Determine the area of the largest triangle that can be formed in the first quadrant by the…

A: The area is found by making a function of area into a variable and finding the values at which…

Q: - Find the equation of the tangent to the 2(x2 + y?)2 = 25(x² – y2) at (3,1)

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the values of a and b so that f will be differentiable at x = 3.

A:

Q: Use the First Derivative Test to find the x-value(s) at which the function f(a) = + 4x? 2 9x? + 4…

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Q: Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² +9ax - 1 never…

A:

Q: Find the absolute extreme values of the function on the interval. F(x) = /x, - 27 sxs 64

A:

Q: Find an equation of the line tangent to the graph off(x) at the point (5, 9):f(x) =e^(x^2−3x−10)+ 8

A:

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

A:

Q: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

A:

Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: O For what value of x does the function f (x) = 4x2 – x +1 have a horizontal tangent?

A:

Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: Q2: By the false position method, find approximation value of the root for f (x) = ex – 2 with e…

A: Consider the given function. fx=ex-2 The false position method is defined as,…

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

A:

Q: Find all the values of x where the graph of f(x) = 2x³-36x2 + 192x 9 has a horizontal tangent line.…

A: topic - derivative of a function and point of horizontal tangent line

Q: Find the approximate value of the function f(x)=√5x−1 at x=1,99.

A: Given Here a = 2. The formula for approximate value is Substitute a = 2 in given function to get…

Q: On the graph of f ( x ) = sec ( x ) and the interval ( -2π, 0 ], for what value(s) of x does f ( x )…

A: f(x) = 1 on, (-2π, 0] Implies, sec(x) = 1 on (-2π, 0] i.e. x = 0 on (-2π, 0] So, x = 0  The graph of…

Q: fx)= e? (ょ2 +メ-1) interval [o,

A: Given that: f(x)=e-2(x2+x-1) in the interval [0, 1]

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value(s) of x does the graph cross the…

A:

Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given:

Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

A: