Question

Find the limits in Exercises 25–30.

2ху + yz
lim
P→(1,–1,–1) x² + z?
25.
lim
26.
Р--(1,3,4)
27.
lim (sin?x + cos? y + sec? z)
P-(T,T,0)
28.
lim
tan xyz
29.
lim ze-2y cos 2x
P(-1/4,7/2,2)
P(7,0,3)
30.
lim
In Vx? + y² + z?
Р-(2, —3,6)
View transcribed image text
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Calculus

Limits

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: Show that the sum of the squares of the direction cosines of a line through the origin is equal to 1...

A: To show: The sum of the squares of the direction cosine of a line through the origin is equal to 1.

Q: Evaluate

A: Click to see the answer

Q: Find the length of the curve,Which is the graph of the function

A: Given,           The function is y=423x32-1 , 0≤x≤1

Q: Fill int blanks : If the x-intercepts of a function are -1 and 3, then f(-1) = ............. and f(3...

A: The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the poi...

Q: Use vectors to find the point that lies two-thirds of the way from P to Q.      P(1, 2, 5),    Q(6, ...

A: Solution:-  Given that  point P(1,2,5) and point Q=(6,8,2) let M(x,y,z) be a point that lies two-thi...

Q: The time "t" of a complete oscillation of a simple pendulam of length L is given by t=27 where g is ...

A: Click to see the answer

Q: A quadratic function has its vertex at the point (1,6). The function passes through the point (-2, -...

A: Given quadratic function has its vertex at the point 1,6 and function passes through point -2,-3.

Q: Does the differential dy represent the change in ƒ or the change inthe linear approximation to ƒ? Ex...

A: The change in the linear approximation y=Lx as x changes from a to a+∆x is the differential dy.

Q: Find the area between the curve y = 2(ln x)/x and the x-axisfrom x = 1 to x = e.

A: Consider the given: y=2lnxxandy=0Interval 1,eFind the area:A=∫1e2lnxx-0dxA=∫1e2lnxxdx

Q: Find the general solution to the given differential equation. (Use C for the constant of integration...

A: Solution:- The given differential equation is  e8x(y+1)dx+e4xy dy=0  

Q: Find the indefinite integral. ∫(xe4x)dx

A: Given: ∫xe4xdx

Q: Solve the equation sin 2x + cos x = 0 on the interval [0, 2π).Use exact values where possible or giv...

A: Our Aim is to solve the equation sin (2x) + cos (x)=0-(i) on the interval [0,2π).

Q: 35. /2.1 – V2 is larger than /9.1 – ỹ.

A: Click to see the answer

Q: Use integration to find the general solution to the differential equation. (Use C for the constant o...

A: Click to see the answer

Q: Use the given acceleration vector and initial conditions to find the velocity and position vector. T...

A: Given: a(t) = 2i + 3k  v(0) = 4j r(0) = 0

Q: 11. Determine whether F is conservative. If it is, find the potential function. i. F(x, y) = y i+ 2r...

A: Click to see the answer

Q: In Exercises 35-74, evaluate the integral using the methods covered in thetext so far.

A: Click to see the answer

Q: Find the intersection of the sets: {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}.

A: Given  {3, 4, 5, 6, 7} ∩ {3, 7, 8, 9}

Q: The points at -5 and -3 shown: divide the number line into three intervals: ______, ________,_______...

A:   The points at -5 and -3 shown: divide the number line into three intervals:______, ________,______...

Q: Lines and line segments Find a function r(t) that describes the given line or line segment. The line...

A: Click to see the answer

Q: Solve the following differential equation: dy 3x dx 2xе" - Зу + 6х?. = constant.

A: To solve 3xdydx=2xex-3y+6x2

Q: find the component form of the vector. The vector OP, where O is the origin and P is the midpoint of...

A: Vector R = 2,-1Vector S = -4, 3Vector P = Mid-Point of R and S.Vector P = 2-42,-1+32Vector P = -22,2...

Q: A piecewise function is shown. Use the function to find the shown indicated limit, or state that the...

A: Click to see the answer

Q: Why is  the logarithmic function  not defined for negative values of x, thesoftware can produce only...

A: The definition of logarithmic function is, logbx=y⇒by=x The output value of exponential function by ...

Q: dx 1+x² 0-

A: Consider the integral  ∫−∞∞dx1+x2  

Q: If P1 = (-2, 3), P2 = (-1, 5), and v is the vector from P1 to P2. Solve, a. Write v in terms of i an...

A: P1-2, 3 & P2-1, 5   a. v=-1--2i+5-3j   ∵Vector v with initial point a, b & terminal point c,...

Q: How Separable Equations are Applied ?

A: A first order differential equation y′=f(x,y) is called a separable equation if the function f(x,y) ...

Q: Use the Pythagorean Theorem to find the length of the missing side of each right triangle. Then find...

A:   Use the Pythagorean Theorem we have to find the length of the missing side of each right triangle....

Q: Find the derivative of the algebraic function.

A: Click to see the answer

Q: Express the sum, 1/3 + 2/4 + 3/5 + .......... + 16/(16 + 2) using summation notation. Use 1 as the l...

A: we have to express the sum, 13+24+35+.........+1616+2 using summation notation. 

Q: Cylindrical to rectangular coordinates Set up an integral in rectangular coordinates equivalent to t...

A: Given:∫0π/2∫13∫14-r2r3sinθcosθz2dzdrdθ

Q: The areas of regions bounded by the graph of ƒ and the x-axis shown. Evaluate the following integral...

A: Consider the following graph: Area of the region on the interval a,b is 20. ∫abfxdx=20 Area of the ...

Q: Write the number in decimal notation 6.2 * 107 ?

A: Solution:-  we have to Write the number in decimal notation 6.2 * 107  

Q: Use intercepts to graph equation. 8x - 2y + 12 = 0

A: Our Aim is to graph equation :→ 8x-2y+12=0 -(i) using intercepts.Move all terms not containing 'y' t...

Q: Use the vectors u = a1i + b1j, v = a2i + b2j, and w = a3i + b3j, to prove the given property : u . (...

A: Given vectors - u = a1i+b1j          v = a2i+b2jw = a3i+b3jTo prove -u.v+w = u.v+u.w

Q: a) Check for the maximum, minimum and inflection point for the following function 3x f(x)=- V4x² +1 ...

A: Paert (a) - Given function - f(x) = 3x4x2+1Differentiating with respect to x - f'(x) = ddx3x4x2+1f'(...

Q: Find the indicated (shown) sum:

A: We have to find the sum: ∑i=04-1i+1i+1! Here ! denotes the factorial where, n!=nn-1n-2n-3....×3×2×1 ...

Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) = !!

A: Given:fx=x sinxf"x=?

Q: The position vector r(t) = ti + t2j + 1 /2t2k describes the path of an object moving in space . (a) ...

A: Given a position vector. rt=t i+t2 j+12t2 k

Q: Determine whether the statement " The point on a parabola closest to its focus is its vertex." is tr...

A: Our Aim is to determine whether the statement given below:-"The point on a parabola closest to its f...

Q: 3. Use the first and second derivatives of each function to determine critical points, intervals of ...

A: Since you have posted multiple subparts we solved first three subparts for you  To get the solution ...

Q: The graph of a quadratic function is given. Write the function’s equation, selecting from the follow...

A: Given, The graph of the function is,                    

Q: Find ∫ e^x coshx dx  Without using integration by parts

A: Click to see the answer

Q: Evaluate the integral ∫(x + 5)(x - 5)1/3 dx

A: Since, we have to evaluate the integral given below:-I=∫(x+5) x-53 dx    -(i)

Q: Find the derivative of the function. y = sin ( tan 2x)

A: Consider the provided function, y=sintan 2x Find the derivative of the function. Apply the chain rul...

Q: Evaluate | x/2x +1 dx

A:  

Q: Suppose that the marginal propensity to consume is dc e-0.5y (in billions of dollars) dy and that co...

A: Click to see the answer

Q: 7*6

A: Here we have to sove  7*6

Q: What are the reciprocals of the sine and cosine ?

A: we have to determine the reciprocals of the sine and cosine.  

Q: Two samples taken from two related population and the differences (d) as follows -2, 2, 1, 5, -5 the...

A: Number of samples taken is 2. The difference of the sample is -2, 2, 1, 5, -5.

Transcribed Image Text

2ху + yz lim P→(1,–1,–1) x² + z? 25. lim 26. Р--(1,3,4) 27. lim (sin?x + cos? y + sec? z) P-(T,T,0) 28. lim tan xyz 29. lim ze-2y cos 2x P(-1/4,7/2,2) P(7,0,3) 30. lim In Vx? + y² + z? Р-(2, —3,6)