4 (a) Evaluate lim, 1 (-) (b) Let f(x) = ? – x. Find the value(s) of x if the second derivative f" (x) equals zero. (c) For what value(s) of r does the graph f(x) = – x2 +3 %3D 6 have a horizontal tangent. (d) Differentiate the implicit function below y + y = 2x2 + 4

Q: 1. Solve the following equations:  |2x+8|=3x+7 2|x - 7|=x-8 |3x-5|=4+2x

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Q: Which equation has no real Solutions? Ax+2x+l=0 7. +2x+1%=0 BX+4x+2=0 ©*+5x+7=0 6x+ 6x+8=0

A: For real solution check the discriminant of all rhe quadratic equation.

Q: 2. Solve the following simultaneous equations by elimination: (3x - y = 5 4x + y = 9 a) b) {3x 7x

A: a) we need to solve given system by elimination method b) we need to solve given system by…

Q: 1. Solve using substitution 2x + y = 14   3x - 2y = 7

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Q: 2.) Solve the equation 16a – 12 – a = -57

A: Solution:

Q: daniel has 12 apples. he takes away 3. create an equation that matches this problem

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Q: phantom ship has a number lock that con by solving the given equation. Help the mu in opening it. +…

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Q: solve in echelon form and tell how many solutions there are in non negative integers. x+2y+3z=90…

A: Given equations x+2y+3z=90  0x +3y+4z=36

Q: . During a magic trick, a magician shows the audience 3 closed bags. Each bag contains an equal…

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Q: 1 2 C+ 3 4 5 6 1 D= 7 8 8 5

A: The above question is based on the concept of Matrices. We have to assume C and D as the two…

Q: 2. Count the number of rearrangements of the word TASTE in which no letter appears in any of its…

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A: Given problem:- A wireless storeowner takes presale orders for a new smartphone and tablet. He gets…

Q: 150

A: it is given that the number of subscribers in any given month say'm' will be s=150 (2(1m/6)) so…

Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: Solve the following equations, verify and write S.S 10-5x=3 (x-4 )-2 (x+7 )

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Q: 14. 15. 6y 4po 17.

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Q: 11) Solve by Substitution a. b. -4x – 2y =-1 y=-2x – 4 x+3y=-17 -8x + 8y =-24

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Q: In Problem,solve each equation.

A: To solve the equation:(14)x=164 Solution: Given equation is, (14)x=164 On simplifying further we…

Q: Q1) Solve the following equation . 3-2x 3 2.

A: Consider the equation  3-2x3=x2

Q: Solve for b. 5 2 Part: 0/3 Part 1 of 3 Multiply both sides by 2.5 to clear fractions.

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Q: How many non-negative integer solutions are possible of the following equation?

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Q: 5. 16yk+2 Solve the difference equation + 8yk+1+yk = 6-k, yo = 4, y₁ = 1

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Q: refer  to  image  below.

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Q: The U.S. Mint produces quarters that weigh 13 about 5.67 grams each. After the quarters are…

A: Given U.S mint produces quarters that weight about 5.67 grams each .After the quarters are produced…

Q: Jill, Kim, and Erin start at the same time, walking around a circular track, walking in the same…

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Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: O A. 45 1 12 %3D 36

A: Given: stella can put a kit together in 45 minso for 1 min=145Roberto can put a kit together is 36…

Q: 32 Solve: +5 %3D х+4 х2-16

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Q: 1. Solve the simple equations: 7x -2 19 - 4x + 3 = 1 3 2 2x + x- 13x + 6= 0 2 Solvo uei

A: Solution

Q: Ailyn can type a 5-page manuscript in Mathematics for 3 hours. Rodelyn can do the same task in 4…

A: Given- Ailyn can type a 5-page manuscript in Mathematics for 3 hours and Rodelyn can do the same…

Q: 11. Solve 6x + - 5 = 3x - 3 10

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.