if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

A:

Q: Which of the following equations is an ellipse? Ay²= x² + 4 (x– 2)² , (y+2)² (B) 1 25 25 x2 + 4y2 - ...

A: Given: - The four equations,  (a) y2=x2+4(b) (x-2)225+(y+2)225=1(c) x2+4y2-16=0(d) 4x2+4y2-5=0 To ch...

Q: Use substitution to evaluate the integral 6 cos t (2+ sin t)? dc 6 3 3 + C 2+ sin t + C 2+ sin t + C...

A:

Q: 14. DETAILS LARAPCALC10 2.7.004. Find dy/dx. y3 5x3 +7x

A:

Q: -n ) Σe n=1 1 d) Σ+ 3 п n=1 8

A: C) Given that ∑n=1∞e-n By the integral test, ∫1∞e-x dx=limt→∞∫1te-x dx                              ...

Q: Find a linear differential operator (of lowest order) that annihilates the given functions: o f(x) =...

A:

Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: 13. Find the solution set of c) 2x? – 3x – 4| < 5 Зх — 4| <5

A:   The given inequality is 2x2-3x-4≤5. Absolute Rule: If x≤a, a&gt;0 then -a≤x≤a.

Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: 7. Sketch the graph of y =x' and answer the following: Find f'(x) = Find f"(x) = On what interval(s)...

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

A:

Q: JUIR tO JusLily your aASWers. Witë your solutions properly, heatly, and carefully answers as much as...

A:

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: Solve the differential equation.

A:

Q: asider the function f(x) = e" on [0, 2), %3D

A:

Q: det a det C

A:

Q: 16 The expression log can be written in the form z12 A log(x) + Blog(y) + C log(z) where A B = and C...

A:

Q: What is the derivative of (3x^2tanh(sin4x))

A:

Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

A:

Q: Consider the following function and point. f(x) = x3 + x + 9; (-2, -1) %3D (a) Find an equation of t...

A: We can find the equation of tangent line to the graph as below.

Q: Evaluate f v-8+ 6x – x2 dx using trigonometric substitution

A: The objective is to evaluate the integral using trigonometric substitution

Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter ...

A:

Q: DETAILS LARAPCALC10 2.2.014. Find the derivative of the function. g(x) = 4x² + 8x³ %3D

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

Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

A:

Q: 3. lim (3 Vx + 9/

A: This is a problem related to limit of the function. Based on the general formula of limit or using L...

Q: 1. Find the value of the directional derivative at the particular point Po for the given function in...

A:

Q: 2. Let r+1 r -1 Determine if lim f(x) exists. I-1

A: We have to find out limit

Q: The path r(t)=(5 sin t) i+(5 cos t) j describes motion on the circle x^2+y^2=25. Find the​ particle'...

A: We have to find ​ particle's velocity and acceleration vectors at t=π/3 and π/6 . Given  r(t)=(5 sin...

Q: 3) Show f(x) = 5 is 0(x). Justify for an x> k. Give the C and k values. de stait E dinor uelta 4) Sh...

A: We say f(x) is O(g(x)) if there are constants C and k such that f(x)≤Cg(x) whenever x&gt;k.

Q: Let sk En(0.1)" n=1 Find s9.

A: Given that sk=∑ n=1k n (0.1)n -(i) Our Aim is to find s9=?

Q: Name the quadrant in which the angle 0 lies if cot t > 0 and sint < 0. O II OIV O Not possible to de...

A:

Q: Find the dimensions of the given matrix. 16 -16 D = -9 ; d31 7 50 16 Identify the given entry. d31

A:

Q: (x+2)? Consider the ellipse whose equation is given by + (y+ 5)2 = 1. 25 What are the coordinates of...

A: Coordinates of vertices are:-

Q: 7. solve the DE

A:

Q: tan 361° – tan 31° 1+ tan 361° tan 31° Find the exact value of V3 O- V3 O. 3. O-V3 V3 01 О-1

A:

Q: At a given instant the legs of a right triangle are 16 cm and 12 cm, respectively. The first leg dec...

A: Given: -The legs of a right triangle are 16cm and 12cm, respectively. The first leg decreases at 12c...

Q: Find the position function s(t) for the given acceleration function and conditions: a(t) = −2t+7, s(...

A: The acceleration function,a(t)=-2t+7, s(1)=8, v(2)=-3

Q: Give the equation of the asymptote (positive slope) of the equation: x² (y-2)² =1. 9 16

A: Given that the equation is        (x2/9) - (y-2)2/16 = 1  Here we have to find the equation of the a...

Q: Given the series: 1. k+3 does this series converge or diverge? diverges converges If the series conv...

A:

Q: A linear function f(x, y) = ax + by + c has no critical points. Therefore, the global minimum and ma...

A: Given function f(x,y)= 4+6y-24x  Now since it is a linear function it has no critical point. So the ...

Q: A balloon is rising vertically above a level, straight road at a constant rate of 4 ft/sec. Just whe...

A:

Q: Solve the following equation; domain 0 sx< 3600; 2 cose+ 1 = 0 %3D 60 120 300 240 O O O

A:

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Given: A dingly is pulled toward a dack by a rope from the bow through a ring on the deck 8 it above...

Q: -1 | tan *xdx

A: The given integral,       ∫tan-1x dx

Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: 1. Find the second derivative of the function. 8(x) = 3\/x + e7*In(x)

A:

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A: