Differentiate f(x) = (2x³ + 3x² )(x² + 5x³ +5) using product rule.

Q: Solve the inequality Write the solution set in interval notation

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Q: Catherine drove at an average speed of 50 mi/h from her home in Houston to visit her sister in Milwa...

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Q: The function f : R³ → R³ is linear and f(1,0,0)) f((0, 1,0)) f((0, 0, 1)) (2, 1,0) (0, –1,3) (2, 1, ...

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Q: 4xу + 30х у —16 ху" 6ху

A: Divide the entire numerator by denominator.

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A: A triangular has 3 rectangular faces and 2 triangular faces. Since, it is opened from one side , so,...

Q: Let f(x)=4+3x and g (x)-x-3. Find each function value: (fg)(-1)

A: The functions are fx = 4+3x gx = x2-3 Formula Used: fgx = fx·gx To evaluate: The value of fg-1

Q: April shoots an arrow upward into the air at a speed of 32 32 feet per second from a platform that i...

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Q: 5. Let R' be the group of nonzero real numbers under multiplication and let H = {x €R' : x² is ratio...

A: AS per our guidelines, we are supposed to answer only the first question, to get remaining kindly po...

Q: Consider the Initial Value Problem: z1(0) = #2(0) 921 + 322 -30z - 9az" 3 (a) Find the eigenvalues a...

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Q: Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in o...

A: Given:Thirteen people answered that they generally sell three cars; twenty generallysell four cars; ...

Q: f(x+h)-f(x) Given the following function, determine the difference quotient, h f(x) = -2x2 +x - 7 An...

A: topic - difference quotient

Q: 13. x2 = 4x – 15 %3D -

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Q: e perimeter of a certain pentagon is 10.5 centimeters. Four sides of this pentagon have the same len...

A: The perimeter of a certain pentagon is 10.5 centimeters

Q: 3 0 0 -2 3 -3 M =|0 2 -2 3 2 -3 -2 det(M) =

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Q: 1 2 y 2 3 1+ |3/2

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Q: Let f(x) = x² +z and g(x) =2 x2. (f + g)(x) = help (formulas) (f-9)(x) = help (formulas) (fg)(2) = h...

A: Given:- Let f(x) = x² + x and g(x) = 2-x². To find:- (f+g)(x)  (f-g)(x)  (fg)(x)  (f/g)(x) 

Q: The JPC Furniture Company has an ordered for 100 of its narra chairs. The chairs can be produced in ...

A: We have to solve it by simplex method. 

Q: 5) Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 10%. Hi...

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subparts. So, kindly r...

Q: Use the pair of functions to find f (g (x)) and g (f (x)). Simplify your answers. f (x) = Va + 2,9 (...

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Q: Kelly has 2400 feet of irrigation piping He wants to use to irrigate his back lawn. He wants to lay ...

A: The person wants to lay the pipeline of 2400 feet such that it cuts off three equal rectangular regi...

Q: A cell phone company offers the followings plan: Monthly charge (which includes 400 minutes) for $30...

A: Let x represent the total number of minutes used in a month. Let C(x) represent the total cost of th...

Q: 5. Which ordered pair is not a solution of the system graphed below?

A: Question 3: a. (0,0) lies in the shaded region. hence it is a ordered pair. b. (0,1) lies in the sha...

Q: 1. Determine all values of the constant k for which the vectors (1, 1, k), (0, 2, k), and (1, k,6) a...

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Q: Find all the values of x satisfying the given conditions. f(x) = 3x" +x- 147x-31 and f(x) = 18 %3D T...

A: Consider f(x)=3x3+x2-147x-31    and  fx=18

Q: Write the following numbers in a + bi form: (w) –3 (5) (a) –3 + i, (b) (5 – 4i) – (–3 – 5i) = + i, 3...

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Q: For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 Symmetry: Symmetry: Symmet...

A: Given query is to find the the Axis if symmetry for the graph.

Q: 3 Graph the line that contains the point (-3, - 1) and has a slope of - 4

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Q: 1. If an equation that relates profit earned (p), quantity sold ), price () and fixed expenses (f), ...

A: Given problems:- 1. If an equation that relates profit earned (p),     quantity sold (g), price (r),...

Q: Graph the function. for x<3 f (x) = -x+6 for x23 y 9. 8- 7+ 6- 5- 4+ 3-

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Q: 5. Which ordered pair is not a solution of the system graphed below? a. (0,0) c. (1,1) b. (0, 1) d. ...

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Q: 3. A weight is supported by two ropes tied to both ends of a balance beam (Ilooks like a pole/bar) i...

A: topic - law of cosines

Q: The following data show the lengths of boats moored in a marina. The data are ordered from smallest ...

A: We need to find mean, mode, median.

Q: A construction crew needs to pave a road that is 207 miles long. The crew paves 7 miles of the road ...

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Q: ind terms that complete the following sentence= dis at discor a

A: We have to give the answer of the given function according to the information

Q: Rational equation 2 A student was asked to solve the rational equation 32-22 -6x+8 3z 2-2 Fー4 Their ...

A: An extraneous solution is a root of a transformed equation that is not a root of the original equati...

Q: 2y=3x-5

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Q: a polynomial P is given  P(x)= x^4-5x^2-6 a) fin all zeros of P, real and complex. (enter your ans...

A: If ax2+bx+c=0 then x=-b±b2-4ac2a.

Q: B. Graph the solutions of each linear inequality on a coordinate plane. 2 - ys4 2.2x 1. y22 - 3x Fin...

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Malachi and Wesley each solved the equation 2(3x - 1) = 16. Malachi used the distributive property o...

A: Note: Since you have asked us to solve the question 1, we will solve it.

Q: Find the minimum and maximum values for the function with the given domain interval. d(x) = Vx, give...

A: We can find the minimum and maximum values as below

Q: You need a 5% alcohol solution. On hand, you have a 55 mL of a 40% alcohol mixture. How much pure wa...

A: Given that we have 55 mL solution. So, The amount of alcohol in the solution is:   = 55 mL × 40%= 55...

Q: Distance A person is riding a bicycle. The graph shows the rider's distance y in miles from an inter...

A: Note: As per our company's guidelines we are supposed to answer the first three sub-parts of the que...

Q: A = 3 59 7 9 2 10 4

A: We have to find the determinant of the matrix A = 359792104

Q: Twelve less than four times a number x is sixty-eight.

A: Solution: Let x be a number.    

Q: Suppose that the functions q and r are defined as follows. q(x)=-2x+1 r(x)=-x2 Find the following:...

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Q: Problem 3. Identify the following expressions as true or false. If true, prove the result; if false,...

A: Series and summation 

Q: Express the following linear system as AX = b. By Cramer's rule determine the solution.

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Q: A rectangle is drawn so the width is 5 inches longer than the height. If the rectangle's diagonal me...

A: Assume that the height of the rectangle be x and the width is x+5. Then form a quadratic equation by...

Q: Find f+ g, f-g, fg, and f/g and their domains. f(x) = 4 - x, g(x) = x² – 3x %3D Find (f+ g)(x). Find...

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Q: Use or = to make each statement true. Be sure to use the symbols and not words. a) 567.9 56 100 79 ...

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