5. Find the interval on which f(x) = x³ – 3x2 – 144x – 140 is concave up and the interval on which it is concave down. Identify the point of inflection. %3D |

Q: s] B1(a): Find the value of k that makes function continuous at x = 4 x > 4 6x – k x < 4 3x + 6 f(x)…

A: The given function is fx=3x+6if x&gt;46x-kif x≤4. Assume that the above function is continuous at…

Q: Suppose ƒ is an even function and Evaluate

A:

Q: Q5: a- Use two segment trapezoidal rule to integrate the following function numerically: f(x) =…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: 4. Find the extrema of the function f(x) = Vx (x + 1) and the intervals on which its graph is…

A:

Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: For æ = 4 the function f(x) = x? + bx +c has the minimum value of -9. Fine

A: The given function is f(x)=x2+bx+c has a minimum value = -9 at x = 4.

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=9−27xf(x)=9-27x, and the line…

A:

Q: Find the value of constant K that makes the function below continuous at x = 2. -2x X < 2 X-2 f(x)…

A: Given,           fx=x2-2xx-2 ; x&lt;2kx-3 ; x≥2

Q: 22 If Sx) is an odd function, the second difference [SSAx) – 2(0) +-Ax)]/(Ax)? exactly equals f"(0)…

A: Please check step 2 for the solution.

Q: 1 Find the interval on which the curve F(x): -Sa di is concave downward. 6+ 8t

A: Solve the following

Q: Are the f-llowing functions Continual s OFC メーE X-2 スト=メ 1P 2) FCX)s X- S X +7 at XE-1 X5qXs (xフゴ

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Q: 20 10 If f is continuous and f(x) dx = 18, find f(2x) dx. %3D

A:

Q: Find values at x where the fuction is NOT differentiable(in any) f(x)= lx-2l +3

A: Given function is By definition, we have Therefore,

Q: The function f(x) = e + e has a relative extremum at Select one:

A:

Q: Ql.a- for what value of (k) is the function y= f(x) continuous at x=2 V7x + 2- V6x +4 -2 sx and x #…

A:

Q: 3) Let f (x) = e=x² Where is y'> 0? What does this tell you about the original function?

A:

Q: 4. Use the linearization of the function f(x)%= at an appropriate x=a value to approximate 4.002

A: Given: The function f(x)=1x

Q: 2 If f is continuous and f(x) dx = 14, find | xf(x?) dx.

A:

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: 10 Estimate f(x) dx using five subintervals with the followi (a) right endpoints (b) left endpoints

A: Interval [0,10] is to be divided into 5 subinterval ,so the length of each interval will be 10-05=2…

Q: 9.03 6. Vse the linear anproximation of the function (x)= V9-x at a = 0 to approximate the number

A:

Q: 22--15 if r#3 Find the value of the constant k that 5. f(x) = makes the function f(x) continuous.…

A:

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

A:

Q: 9. Find the point of diminishing returns (x, y) for the function R(x) = 11,000 – x + 42x² + 800x,…

A: We have to identify the point of diminishing return for the input-output function. For each…

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

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

Q: Which type of discontinuity does the function S4- a², In x, x < 1 f(x) = 1<x < e has at x 1?

A: We need to choose correct option.

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

A:

Q: 8. If f is continuous and f(x) dx = 12, find f(2x) dx. 0.

A: Given f is continuous and ∫08f(x)dx=12

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: 14. Consider the function f (x) = x²e+x . f(x) has two inflection points at x = _ and x =_.

A:

Q: 4). If f(1) = 12 and f' is continuous and | f'(x) dx=17, what is the value of f(4)?

A:

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: 55. Is the function given by S + 4, for x s 3, 2x - 5, for x > 3, F(x) continuous at x = 3? Why or…

A: Function is given by F(x)=13x+4 for x≤32x-5 for x&gt;3 now show that it is continuous at x=3 or not.…

Q: 4. At what value(s) of x is the function x + 2 x2 for x 1 f(x) = 3- x discontinuous?

A:

Q: 4. a) Find the value of x where the function f(x) = (x – 4)5 is not differentiable.

A:

Q: Find the relative extrema for f(x) = x* + 32a²

A:

Q: If f(x) = In(tanh(2x)), then f' (x) is Select one: a. -2 coth(2x)sech (2x) :): b. – coth(2x)sech (2x…

A: f(x)=ln(tanh(2x))f'(x)= 1tanh(2x) ddxtanh(2x)we know that  tanhx=ex-e-xex+ e-x…

Q: 4). If f(1) = 12 and f' is continuous and f'(x) dx=17, what is the value of f(4)?

A:

Q: 16 8. If f is continuous and f(x) dx = 18, find f(2x) dx. %3D

A: Given integral, ∫016f(x) dx =18

Q: If b > 3 and average value of f(x) = 6x – x² on the interval [0,b] is 6, then what is b equal to?

A:

Q: d. Find the linear approximation L(x) for f(x)=x²-x-1 at a = 1.

A: Given function is fx=x3−x−1. d We have to find the linear approximation Lx for function fx at a=1.…

Q: f(x) = Vx -In x %3D f(x) = 3* arccos Vx² + x

A:

Q: Q.20 For the function f(x) = x2 ex, the maximum occurs when x is equal to

A: Introduction :

Q: 3. Find the absolute extrema of the following function on the indicated interval. f(x) = x3 – 3x on…

A:

Q: '18 6. If f is continuous and f(x) dx = 16, find f(2x) dx. %3D

A:

Q: Find the local extrema of the function f(x)=√x2+1.

A:

Q: 2. Find the (exact) values of a and b so that f is continuous at a = 2. 8r2 + 20x + 28 if x 2

A:

Q: C(x) = 5x; R(x): 8x – 0.001x? %3| Find all values of x for which the marginal profit is zero.

A: Given : Cost function, C(x)=5x Revenue function, R(x)=8x-0.001x2

Q: Use the second derivative to determine f"(3) for the function f(x) = x² In (x) 2ln(3) +2 O 3ln(2) +3…

A: topic - derivatives