Find the value of x for which the value of the function f(x) = x + 3x2 - 2 is minimum? Answer.

Q: 1 Зех [e2n* + 23c] dx

A:

Q: 2. The function g(x) is defined for -3Sx5 3. The behaviour of g'(x) and g"(x) is given below.…

A: A)-3<x<-2, g'(x)<0and-2<x<1, g'(x)>0Function decreases over (-3, -2) andincreases…

Q: Prove the following. (b) lim( Vn² +1 – n ") = 0 - (c) lim Vn? n) = } 1 2 ||

A: Prove the following limits

Q: The boundary of a field is a right triangle with a straight stream along its hypotenuse and with…

A:

Q: (2 f" = c-1fi-1 + Cfi+ Cfu A. Find the coefficients of the following derivative %3D

A:

Q: e*+e¯& =x² –2 lim sin² x–x² x→0

A: Given limx→0ex+e-x-x2-2sin2x-x2 If we put x=0, we get a solution of the form 00…

Q: A ladder 20 ft. long leans against a vertical wall. If the top slides downward at the rate of 2…

A:

Q: x * - 2 and g (x) = 10. Given f (x) = x - 1X = 1. Find 2x + 1 a) the domain of f (x) and the range…

A:

Q: 3) roțațion 90° counterclockwise about the origin

A: We know that,  90° counterclockwise rotation: (x,y) becomes        (-y,x)

Q: TOPIC Rational Frachon decomparition sx2 -9x-6 dx x3-2x2-4xt8

A: Given problem:- ∫(5x2-9x-6)x3-2x2-4x+8)dx

Q: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

A: Describe how to use the second derivative test to classify critical numbers. You must state 3 steps.

Q: 10. ſ csc²e cot ôni- 5 cot ê dê

A:

Q: (a) How far is the boat from the marina? Round the answer to one decimal place if necessary. (b)…

A:

Q: Given f''(T) 9 sin(3r) and f'(0) 6 and f(0) = 3. Find f 2.

A:

Q: x2 - x- 6 Evaluate the lim *2 7x- x²-12 3/7 O does not exist O None of these O 2/5 O 417

A: topic - limits option none of these will be applied as 2/7 is not in the options

Q: 3- Evaluate the integrals: Lia - 1. x(x - 3) dx 2. 2x + 3) dx 3. 3. 4. 299 dx

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: A stellar object is emitting radiation at 1820 nm. A detector is capturing 7 x 10' photons per…

A: Please refer to the image below

Q: 3. Which of the following is the solution to sin a +1 = 0? O x = 0 + 360k O x = 180 + 360k O x = 90…

A: Simplify the equation.

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: Here are three functions involving exponential functions: i) s(x) = = (e" – e*) $(x) iii) (x) = c(x)…

A:

Q: 8)Suppose the total cost of a certain product is C(x) = 0.001 x2+ 5x + 300. The product can be sold…

A: Find your answer below

Q: s "(t) if s(t) = Je tl +1

A:

Q: (бх2 — 4x + 5)dx (2x – 1)(3x + 4)dx Jx(vz - 1)dx

A:

Q: How do you take the integral of 2 * sqrt((t^2 + 1)) ? Can you label notes on each step? I can't see…

A: We will solve this question using integration by parts.

Q: (sec3x The integral of the given function f (sec dx is \tan3x. cot³3x cot3x + C 3 а. 9 cot3x cot3x…

A: cot2x+1=csc2x sec(x)tan(x)=csc(x) ddx(cotx)=-csc2x ∫xndx=x(n+1)n+1, for any real number n.

Q: 2Tx [e?n* + 23c] dx

A:

Q: (x? - 1)² dx = x$/5 - 2x/3 + x + C Select one: O True O False Jdx/(1 - 2x) = 1/2 In|1 - 2x| + C…

A:

Q: Using the substitution z=Vx+2, the integral xyx+2 dr is equivalent to (A) | 222(z2- 2) dz .7 (в |…

A:

Q: 1 64. f (x) = (1 – æ)*

A:

Q: Given the graph of the function below. Find the limit of the functic approaches 3.* (3, 4) (0,3)…

A: Given query is to find indicated limit.

Q: Suppose the position of a particle is given by parametric equations x(t) = t³-2 and y(t) = 5t2. %3D…

A:

Q: The function g(x) is defined for-3 5xs3. The behaviour of g'(x) and g"(x) is given below. -3 <x<-2…

A: Given problem:-

Q: (х- 4y - 3) dx -(х-бу— 5) dy %3D о ans. (x - 2y - 1)? %3D с (х-Зу- 2)

A:

Q: Constraint:

A:

Q: Vx- 2 Evaluate lim x-8 x2-7x-8 O 2/7 None of these O 1/9 O 1/12 O O o O

A: The given limit,     limx→8x3-2x2-7x-8

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: Choose the correct speed and direction of a plane with a velocity of (5,-12) 13,113° 17,293° 17,113°…

A:

Q: nswer the following Truê ôr False! f(r) is an antiderivative of v(E), then f(x) + 8 is an…

A: We have to check the following

Q: 3. A metal plate is lying in the region bounded between the circles r? + y² = 1 and 1² + y? = 4 and…

A:

Q: Given the following vectors, add the vectors and find the magnitude and angle of the resultant…

A: 4. Given, v=(5,9) u=(-5,-9) According to given, Resultant(R)=((5-5)²+(9-9)²)1/2 R=0 Angle is given…

Q: F(x)=x+1/x Find the Point of inflection, All asymptotes and all local maximums and minimums?

A:

Q: Consider the parametric equations below. x = 5t - 4, y = 4t + 2 (a) Sketch the curve by using the…

A: Consider the parametric equation  x=5t-4,  y=4t+2

Q: A colony of bacteria starts with 2000 individuals. The colony is exposed to a new penicillin-type…

A: Find your answer below

Q: Find the particular solution of the differential equation that satisfies the initial condition(s).…

A:

Q: 1. Evaluate the integral 2 dx x2 +4x + 20

A:

Q: Answer the following about the function f (x) = (1/3)x^3 − (1/2)x^2 −2x + 1 1.Find intervals for…

A:

Q: The sum of two positive numbers is 20. Find the product of the two numbers if the sum of their…

A:

Q: . a. Approximate y = e# using the Taylor polynomial P3 (æ) of y = e at 0. а.

A: taylor polynimial formula and steps I given below.

Q: 3. Given that f (x) = determine %3D a) f'(x) b) f"(x)

A: