1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x 4. y? = 6– x 5. y = 1- |x|

Q: - 4.9t tlut t600=0 t--14 士 + 4ベ49せo0 - 2<4:4 tz 12.59 tキーve

A: solution of quadratic equation is given by :when ax2+bx+c = 0x = -b±b2-4ac2a

Q: 2 X+y +Z=lo Gouss eleminahin 3 X+ 2Y4 32=18 X +uy+ 9Z= 16 ماركة العرض من قبال

A:

Q: 7) Suppose y varies directly with x. If y=2 when x = – - what is y when 2 X--0.3?

A: Given the data :

Q: O ) -. x- -2 46. f(z) = 1/x. - -2 fe) = V3r + 1, x=0

A: Given: 44.  f(x)=x2,  x=−246.  f(x)=1x,  x=−248.  f(x)=3x+1,  x=0

Q: 4. Calculate(Y/X)- – 2)* if: X = (; -) Y = (% ) z = ( ) (G Đ=z (F- )=« (4- )-

A: We will find out the required value.

Q: 12. f(x, y) = x' – 2x – y + 4y, P = (1, 2). -

A:

Q: 31. If 9x² = y(y – 3)², show that (y + 1)² ds - dy². 4y

A: We know that Given Firstly, we find dx in terms of dy

Q: a) Y= ezx-e-zx €²x+e-2x

A: Given,   y=e2x-e-2xe2x+e-2x

Q: 9-y" - 2y +2y=e; y(0) = 0, y(0) = 1

A:

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

A:

Q: [d] If xz = yz and z - 0 then x = y

A:

Q: 4[8,(t-2) rect(r)dt

A: we have,  I=4∫020δ4t-2recttdt we know that  ∫t1t2xtδt-t0dt=xt0 ;   t1&lt;t0&lt;t20       ;…

Q: 9) (3x-29 +2) ex+(39-2*-2) dyzo

A:

Q: 4.z=(y'-2) 3/4-2y ;z= dz dy

A: The given equation is z=y3-24-2y3 The objective is to find dzdy. The product rule for derivates is…

Q: (ost) X= 3サ-3 DiD X-2-2y ¥ーにh で3,0) D3 Dy メーと2 サ=スメート X-4 <-リ-3 toノー4)

A:

Q: -12 XY and y=-S whenxe4

A:

Q: | (h(y) – 4)dy = 18 h(y) 9(y) 1 |dy 19 12 15 18 - 18 - 7g(y)dy = 1

A:

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: Find dy. y=5th root of x^2(8-2x)

A:

Q: Graph the functions in Exercises 39 to 56

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 10--6A Oa) x- -6 V b) x = 6 c)x- 10 V d) x- -2 Oe) x- -8

A:

Q: max z = 3x, + 2x2 1 1 X1 + 40 X2 < 1 60 s.t. 1 X1 + 50 1 X2 < 1 50 X1, X2 20

A: dual of the given lppmin z=y1+y2s.t.     140y1+150y2≥3      160y1+150y2≥2          y1,y2≥0

Q: ++4 if X < 3 f(x) = { x2 + 1 if -3 sx<5 %3D x-7 if X25

A:

Q: 4y² – 25 -dy

A:

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: ex-4e-x ex 2 x-² / + C ex Option 1 dx 2 x + ² + C ex O Option 3 x+2 ex + C O Option 2 x-2e * +C O…

A:

Q: .1//3 7earctan(y) dy + y? 3

A:

Q: (4) (b) 10tsin(5t²- n/4)dt (4) (c) S 12(x³ + 2)ex¹+8x dx

A: We have to evaluate the integrals.

Q: find the (a) domain and (b) range

A:

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: malie (x+ 1) to (+VZ x +1) (x-Vzx t1)

A: To express: The expression x4+1 to x2+2x+1x2-2x+1. Formula used: x2-y2=x-yx+y x2+y2+2xy=x+y2…

Q: 3 If y=/xL5x²_36 x²_3x²+Yx-12 (3 14 shuw that dy 24 dx4

A: firstly simplifying these expressions then , use the concept of differentiation

Q: 1) If Var(X-Y) = 2, Var(X+ Y) = 4, E(X) = 3 and E(Y) E(XY)? = 1, than what is

A: According to bartleby experts guidelines we can answer only question. Rest can be repost.

Q: 2₁ "+21y+8x=y" + 5y' + ex

A:

Q: What value of c will satisfy y(x) = c(1 – x²) given y(0) = 1? 2 O Option 1 Option 2 3 Ontion 3…

A: Let's find.

Q: 9. S(9 + 8y – y²)= dy

A: Topic = Integration As per guidelines , At  a time only one question can be answered . please repost…

Q: 4. The line 3x + 2y – 10 = 0 is perpendicular to Ax + By + 1 = 0. Find the possible values of A and…

A: Consider the set of simultaneous equations, 3x+2y-10=0………(1)Ax+By+1=0…………(2) Let m1 be the slope of…

Q: 2 dt t² +2t +3 18. Evaluate 8 dz z² +8z+ 25 20. Evaluate o

A:

Q: dy 3y y torh(x) + 2

A:

Q: In x y of y = 3

A: Find your answer below

Q: 3 If y=/x²5x²_36 x²_3x²+¥x-12 | shuw that dy dx4 24

A:

Q: (-x+2, if – 1 sx<2 V3x – 6, if 2 < x< 5 -2x, if x <- 2 lx² – 1 , if x <- 2 1. f(x) = 2. f(x) = 3.…

A:

Q: L() tu(t-3) e6-3s ( 1 + (s+2} 3 s+2 e2-3« ( + ) o 1 (s+2} S+2 e-3+ ( +) o 1 (s+2} s+2 ( e-6-3s 1 3 +…

A: We will find out the required value.

Q: 2x + 5y – z =-7 z = -7 x – y + 4z = 18 x + 2y + 3z = 11 -1|-7 4 18 -11-7 [2 1 -1 3 [2 -7 -1|-7- 9 43…

A:

Q: 2/3 If y = xl/3 + 2 dy then |z */0 =-8 dr

A:

Q: Suppose M = max{2x for x E [0, 4]}, then the value of M is

A: The objective of the question is determine the maximum value of M.

Q: Evaulate: 2 1 pr+y (x)dzdydx 0.

A:

Q: In Exercises 7–10, determine from its graph if the function is one-to-one.

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.