Question 1 Use the First Derivative Test to find the local maximum and minimum values of the function f(x) = -8x2+4x+9.

Q: Solve Nonhomogeneous Equations - Undetermined Coefficients (D^2 + 1)y = sinx

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Q: A spring whose natural length is 13cm exerts a force of 37N when stretched to a length of 18cm. (a)…

A: Given that the spring whose natural length is 13cm exerts a force of 37 N when stretched to a length…

Q: Jse cylindrical shells to find the volume of the solid generated when he region enclosed by the…

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Q: f(x) = (1² + x)}!O(2r +1) 2. g(x) :

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Q: ANSWER

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: 3x2+ 7x+28 A f (x) |*+ A x³+x²+7x Using Partial Fractions in evaluating dx, the decomposed fraction…

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Q: Given the differential equation 9 y' y" Using Reduction of Order and the letter "R" to this…

A: To find the solution of given differential equation.

Q: Find two positive real numbers whose product is a maximum. The sum of the first and twice the second…

A: Given: The sum of the first and twice the second is 56

Q: cos 2ot) Wheré w iš a -3(1-cosh 377t) 4.

A: Given problem :- 4.  -3(1-cosh377t)/t  Find laplace transformation of given f(t) function

Q: Given: U = {x/x < 21 } note: x are integers A = { x/ x< 11} B = {x/x even nos. < 21} C = {x/x…

A: ?As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repost…

Q: 4. A force of 35 N is applied at a 125° angle to an o same object at 220°. A third force of 97N is…

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Q: -3 Find a polynomial that will approximate f(x) throughout the given interval with an error of…

A: Given:

Q: 3- f xvx2 + 1 dx

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Q: 1/(x^2-5x+6) find the integral using rational fraction

A: SOLUTION-

Q: Find f. (x + 1) f'(x) = (1) = 3 %3D f(x) =

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Q: cting with water in an acidic solution at a particular temperature, compound A decomposes into…

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Q: 4-S cosh ? Va dx Vx csch vx

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Q: Approximately the greatest error in calculating the hypotenuse of a right triangle from the lengths…

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Q: 4-x Evaluate f dx. 16-x2

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Q: sin(3x)e°*dx

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Q: Find all the real zeros of f(x)= 4x³– 20x²+ 17x- 4 -2 -4 x = /4 4 || || ||

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Q: Given the differential equation 8 x y" = Using Reduction of Order and the letter "R" to this…

A: Given query is to find the value of R.

Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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Q: 3- fxvx? +1 dx

A: Let's find.

Q: Write the partial fraction decomposition of the rational expression. 1 16x2– 121 1 ( x-4 x-4 22 (…

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Q: 5. A wooden rectangular box is to be made having dimensions 3 ft, 4 ft, 5 ft. The cost of the wood…

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Q: 6х3 + х2— 5х —7 –dx. Use Зx2 —х — 2

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. p5-y y dx dy 3y

A: the solution is as follow

Q: Using a Taylor series, find the polynomial of least degree that will approximate F(x) throughout the…

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Q: 5- (tanx + secx)2 dx

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Q: Use series to evaluate lim 4x2 (e -2/x -1). ... lim 4x (e -2/x -1) =D X00 (Simplify your answer.)

A: Limit

Q: Q3/ Find the area of zone bounded by curves: y= x , y= 3x+8

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Q: dx is solved by trigonometric substitution, which of the following substitutions is used? x2- 2x – 4…

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Q: S x²+x+1 3. Use partial fractions. 2r²+2+x³+x

A: We have to solve the integral using partial fraction method.

Q: An object traveling in a straight line has position x(t) at time t. If the initial position is x(0)…

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Q: 1- (2 xy-4 y) dx+(3x²y-8x) dy30

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Q: ||r(t) × r"(t)|| ||r()* Use the formula k(t) to find k(t). r(t) = 8 cos(6t)i+8 sin(6t)j+ 7tk K(t) :

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Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: 4 cos(x) = 4 cos(x)i - 4 sin(x)j -4 sin(x) u3D( )i+( ) j

A: solution is given below

Q: 1 3 4 A = 41 2 3 4 5 Answer each of the following questions and enter each of your answers as a…

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Q: x² + 49 Given f(x)= , g(x) = x – 7. Determine the domains of (x) and g(x). %3D x + 7

A: domain of function is where function is define here  f(x) = (x2 +49)/x+7) here if we put x = -7 then…

Q: 1. f'(x)dx if f(2) = 1 2. f(x) = S(x² + x – 3)dx if f (2) = 3 3. f(x) = S xe*dx if f(2) = 3 4. f(x)…

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Q: Question 5 of 10 A spring whose natural length is 13cm exerts a force of 37N when stretched to a…

A: Let's find.

Q: dy xe dx to

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Q: 3. S**dx х2-1

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Q: Find the general solution of the differential equation: dy + (2xy – 4e¯*)dx = 0. What is the…

A: Solve it.

Q: Consider the following series. n2 + 64 n = 1 1 Does the function f(x) = satisfy the conditions of…

A: This question can be solved using the concept of integral test.

Q: da. Evaluate the integral Ja2 + 25 1 (a) -( :+ 25)을 + 25(교2 + 25)을 + C (x2 (e) * + 25) + * + 25) +C…

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Q: Find all the zeros of the function and write the polynomial as a product of linear factors. х4 +…

A: Lets find the zeroes:           x4+13x2+36=0…