What is the derivative of f(x) = (sin(x²) + x³)¹ at x = 0 Answer:

Q: Solve for x. X x-2 7 + 1 x+4 10x + 12 ,2 x² + 2x - 8

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Q: Given that f(x) = x² − 9x and g(x) = x + 9, find (a) (f + g)(x)= (b) (f-g)(x)- (c) (fg)(x)= (ª) (4)…

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Q: 22. 6x-5y=-34 2x +6y=4

A: Here we have to solve the system of equation.

Q: Find f(x) and g(x) such that h(x) = (fog)(x). X+5 X-2 h(x) = 3

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Q: A polynomial function P and its graph are given. P(x) = 7x³x² - 7x + 1 -4 -2 y 2 (a) List all…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: This exercise explores elementary properties of linear functions. Suppose that y is a linear…

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Q: Directions: Complete the following rules. 1. Difference of Squares q²_b² = 2. Sum of Cubes a³ + b³ =…

A: Factorise the polynomial

Q: Background Layout Theme Transition 1 21 3415 **** 6 7 FF 8 9 10 11 12 1 8. In Happy Valley, the…

A: Question - 8. In Happy Valley, the average rainfall in July is 5 inches, but this year only 3.5…

Q: A dairy spends $22,000 per year to maintain its barns and equipment. It costs $4000 per year to feed…

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Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and…

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Q: 3: True or false: a linear transformation is diagonalizable if and only if it is invertible. (Note…

A: The given statement, A linear transformation is diagonalizable if and only if it is invertible. We…

Q: 2. The point A(-40, -9) lies on the terminal arm of an angle in standard position. Determine the…

A: To find six trigonometric ratios of angle.

Q: Solve for t A = P+ Prt

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Q: Given f(x)=3x-6 and g(x)=10-5x, determine the following. Simplify all answers and state any variable…

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Q: An object is thrown upward at a speed of 79 feet per second by a machine from a height of 18 feet…

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Q: Find the general solution, given that y/₁ = satisfies the complementary equation. Use c₁ and c₂ for…

A: The given differential equation is;  x2y''+xy'-y=1/x2.

Q: Question 4 1 Find gof when f(x) = -x-3 and g(x) = 3x + 1 3x+9 Question 5 °F oudy Determine whether…

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Q: Find the volume of the figure. 21 yd. 14 yd, 22 yd 16 yd 7,800 yd³ 2,520 yd³ 5,280 yd³ O 2,255 yd³…

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Q: A jar containing 37 coins (nickels and quarters) has a total value of $4.25. How many of each type…

A: total coins are 37total value is $4.25let a is numbers of nickels let b is number of quaters

Q: Write down the parameterisation for the line through the point p = (1, 2, 3) and in the direction of…

A: Solving the following problem

Q: ε =h² + x²- II =h² + x² - 20.

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Q: Question 15 o A convention center is in the shape of a rectangular pyramid with a height of 221 m.…

A: Given query is to find the volume of the conventional centre. Ii

Q: Use properties of logarithms to expand each logarithmic expression as much as possible. Evaluate…

A: D=logby5xproperties of log is logxn=nlogxloga.b=loga+logb

Q: Let T : V → W be a linear transformation. Prove that if V is finite dimensional, then ker(T) and…

A: Given :- Let  T : V → W be a linear transformation. To prove :- That if V is finite dimensional,…

Q: The chart to the right shows a country's annual egg production. Model the data in the chart with a…

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Q: 3 Let A= (MA-|| _23]~B-[2²] and = 6-9 -4 -6 Find - 2A + 2B. - 2A + 2B=

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Q: Take west to be the positive direction. The height of a sloped roof above the place where you stand…

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Q: Consider the following two systems. (a) (b) (1) Find the inverse of the (common) coefficient matrix…

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Q: $8,000 is borrowed at 8% per year compounded quarterly. What is the effective annual interest rate?

A: Given query is to find effective intrest rate.

Q: Find the missing base. 3T twelve = 114 Select one: O a. 5 O b. 8 O c. 6 O d. 7

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Q: Let f:S→T be a function where S,T are sets. Let UST be given. Prove that f^-1(U^c)=(f^-1(U))^c.

A: To prove that  f-1(Uc)=(f-1(U))c  we need to show that every element in one set is also in the other…

Q: 300 200 y=x 100 123456 7 8 9 10

A: Given:

Q: Find the quotient and remainder using synthetic divisio 2x² - 7x+1 X-4 quotient emainder

A: Given query is to perform synthetic division.

Q: is 2. Which statement is true? A. √3 < ²/2 < 1² % B. C. D <√3 < 1² % <√3 1% <√3 < ² 2 1914 7

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Q: Evaluate the expression without using a calculator. log 81 log 81= (Type an integer or a simplified…

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

Q: Use synthetic division and the Remainder Theorem to evaluate P(c). P(x) = 3x² + 14x + 3, C = -3…

A: Given:- P(x) =3x2+14x+3

Q: Solve the simultaneous congruences (a) x = 1(mod 4), x = 5(mod 3), x= 3(mod 5)

A: We have to find the simultaneous solution .

Q: 12 10 10.- 4x¹2y¹0-2x³y³z 354

A:

Q: A college offers help in Math, English, Chemistry, and Biology. The number of students enrolled in…

A: Lowndes' method, Step (1) Divisor = Divide the total number of students enrolled in all the subjects…

Q: Given mn, find the value of x. (8x+5) (4x-17)°

A: We can find the value of x in the below steps using the appropriate steps.

Q: Solve the quadratic equation by completing the square: -7x²-3x+6=-5 8

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Q: Choose the most appropriate meth x^(2)+4x-12<=0

A: Here we have to find the value of 'x'.

Q: A machine is now worth $144,400 and will be depreciated linearly over a 5-year period, at which time…

A: We can solve this as follows:

Q: The volume, V, of a sphere with a radius of r is given by V = nr³. 500T work to find the radius of a…

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Q: If data are evenly spaced, we need only calculate differences to see whether the data are linear.…

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Q: In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4, 3, 0, 0), (0,…

A: Given data: In how many ways can you write the vector (4, 3, 2, 1) as a linear combination of (4, 3,…

Q: To determine the amount of wrapping paper needed for a rectangular box, Ryan finds the surface area…

A: The given data is: The dimension of the box is 9 in. by 4 in. by 6 in So l=9 in.b=4 in.h=6 in.

Q: Explore and describe the similarities, differences, and interplay between weighted voting, fair…

A: Given data: Explore and describe the similarities, differences, and interplay between weighted…

Q: 3. Is the picture being reflected in the y-axis or x-axis? F(4,1) G (2,2) X (3,3)

A: Question no. 3,Given,            The figure is shown below :           To find : Is the picture…

Q: Use polynomial long division to divide 4x5-3x³ + x² +5 by 2x² +1.

A: Given: 4x5-3x3+x2+5  ÷2x2+1