A. Find the derivative of each function. 1. f(x) = 5x²(3x - 6) %3D

Q: Find the area of the region that lies under the graph off over the given interval. Please solve usin...

A: Given : f(x) = 4 - (3 - 2x)^2 at 1 <= x <= 2

Q: Find the length of the curve y = x³/2 from x = 0 to x = 5. O 12.407 O None of these O 14.702 O 17.02...

A:

Q: 3 y = 5 3/ 2

A: We have to find the second derivative of given equation

Q: . SALARY COMPARISONS A Stenton Printing Co. employee taking an annual raise of 8%/year for the next ...

A: Formula for increase in income: I= P[1+r]n Where r-rate  increse in % /100  P- initial amount n- no ...

Q: Using either permutation or combinations: Seven children are to be selected from a group of nine ch...

A:

Q: A tank contains 1720 L of pure water. Solution that contains 0.06 kg of sugar per liter enters the t...

A:

Q: The integration expression Jsin(3In(x)+ 4)cos(3In(x) + 4)dx must be transformed into using suitable ...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: For series convergence: an =x9nRatio test:limn→∞ an+1an < 1= limn→∞ x9n+19xn < 1= limn→∞ x9nx9...

Q: 10. Spending on pets. The total amount of spending on pets in dollars in the US per year and x years...

A:

Q: If k is any real number, prove or disprove that sinkx 1. lim x-0 kx 1. 1-coskx 2. lim = 0. x+0 kx

A: Given query is to find prove the following limits.

Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a i...

Q: Given P = R³ S T0-5 + R0.5 S sin(2T), what is ƏR O 3R S T0.5 + 0.5R-0.5 S sin(2T) O 2R3 ST0.5 + R0.....

A:

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

A:

Q: Incot3x dx sinh e* 1+9x

A:

Q: ind the equation of the radical axis of the circles x² + y2 - 18x - 14y + 121 = 0 and = + y - 6x + 6...

A: Topic:- geometry   

Q: A If w= f (x, y), where x = rcos 0 and y = rsin 0 , show that 2 1 + 2 +

A:

Q: Solve the given differential equation by undetermined coefficients. у" + у'+ у 3x sin(x) y(x) =

A:

Q: . Determine all the second order partial derivatives of the given functions. In each case, show that...

A:

Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

A:

Q: A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides...

A:

Q: If lim f (x) exists and p is an integer, then lim (f (x))", where p is an integer, always exists. Ch...

A:

Q: An iron rod at a temperature of is placed in a room at a constant temperature of . If after minutes ...

A:

Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = n = 4, c = 3 Pa(x) =

A:

Q: The Action Toy Company has decided to manufacture a new train set, the production of which is broken...

A: We hve to draw correct precedence diagram. 

Q: Find and when (TU – V)² In(W – UV) = In(2) at the point (T, U, V, W) = (1, 1, 2, 4).

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 4y' + 4y = 4x + 5 y(x) =

A:

Q: f (x) If lim then lim f (x) and lim g (x) are equal. X-e g (x)

A: We are asked to find whether the statement is true or false.

Q: How are each terms related to one another in the sequence 2 , 90 , 4 , 87 , 6 , 12 , 8 , 51 , 10 ?

A:

Q: Counting techniques (Using permuations or Combinations): How many outcomes are possible if you roll...

A: Given query is to find the number of possible outcomes when we roll 4 dice.

Q: The function P(x) = - 0.25a² + 150x – 4000 gives the profit when a units of a certain product are so...

A: Given:      P(x) = - 0.25 x2 + 150x - 4000

Q: Consider the function f(@) (-x, A), ((4, B).(B, C). and (C, x) where A, and C are the critical numbe...

A:

Q: Using the Newton method evaluate 2x* + 24x3 + 61x2 – 16x + 1 = 0. Let the initial guess X, %3! 0.9

A:

Q: 2x+3) 17. f(x) =- (x² +1)*

A: topic - logarithmic differentiation

Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 50x - 0.05x² - 650. (A) Find the av...

A:

Q: x+4, for x - 2 ... (A) Select the correct choice below and, if necessary, fill in the answer box to ...

A: Given information: The function is f(x)=x+4    for x<-2x+2  for x>-2 (a) To find:  limx→-2+f(x...

Q: 000 A В 010 110) 100 111 101 011 001

A:

Q: Compute the value of the following improper integral. If it is divergent, type D. 1 dæ ¤ (In(x))

A: We have to check weather the given Integral is convergent or divergent.

Q: 57. Minimizing cost of materials. The cost C, in dollars, to build a fence around a rectangular fiel...

A:

Q: 5 - 2x + x² 3. lim 1 - 4x 1 - 6x 4. lim x→-o 4x2 – 4x + 1

A:

Q: COST OF DRILLING A 100-ft oil well is to be drilled. The cost of drilling the first foot is $10.00, ...

A: Given query is to find the cost of drilling the well.

Q: 2. The Left Coast Bookstore chain has two stores, one in San Francisco and one in Los Angeles. It st...

A: (a)

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,...

A: The given integral is ∫6∞xe-2xdx. Using the integration by parts ∫abuxv'xdx=uxvxab-∫abu'xvxdx, Let u...

Q: Solve the separable differential equation for u du ebu +9t dt Use the following initial condition: u...

A:

Q: sech*2tdt

A:

Q: Find the area of the region that lies under the graph of f over the given interval. Please solve usi...

A: Given the region that lies under the graph of ff=5−3x22

Q: Consider the graph below and find the limit of f(x) as x approaches to c. graph of f(x). Ca-2" Choos...

A:

Q: x² + y² that lies between the cylinders x? + y² = 1 Find the area of the part of the cone z = x² + y...

A:

Q: Using the Bisection method find the root of the polynomial f (x) = x3 – x – 2. use a = 1, b = 2 %3D ...

A: Given :f(x)=x3-x-2a=1 b=2

Q: Question 4) -Find a positive integer n for which :-1. = -1. -Find all distinct values of: (i) 81/3 (...

A:

Q: Solve the given initial-value problem. y" + y = 5 cos 2x – 4 sin x, y(x/2) = -1, y'(r/2) = 0 y(x) =

A: