if x < -2 4x +11 if x > - 2 Calculate the following limits. Enter "DNE appropriate. Let f(x) lim 24-2- lim #4-2+ lim #112 = f(x) = f(x) = f(x) = Submit Question e limit does not exist, or "oo" or "-oo" for the behavior if

Q: Suppose u and v are functions of x that are differentiable at x=0 and that u(0) = -5, ur (0) = 2,…

A: given  u(0)=-5 u'(0)=2 v(0)=-7 v'(0)=-3

Q: –) Let r(t) = (√5 — t, ¹+2,t ,t sin t). (1)( A) Find the domain of r(t). B) lim r(t)=? 1-0 c)…

A:

Q: Determine the maximum area of a rectangle inscribed in the ellipse+ = 1. Enter only the maximum area…

A:

Q: 1. Solve the differential equation by separation of variables: dy dr Over which intervals does the…

A:

Q: Consider the double integral L = 1+2²³ + y² dy dz. (a) Sketch the region of integration for the…

A: Let's sketch the graph and evaluate double integral.

Q: its missing step 2 or would it be 1/14sqrt7X + 1/sqrt(7)

A:

Q: Question Evaluate the sum of the series Provide your answer below: n=0 n+1 182n-1 .Enter an exact…

A: We need to find sum of series.

Q: Classify, according to type (hyperbolic, elliptic, parabolic) the equations (i) Uxx +2Uxy +Uyy −Ux…

A: Let the partial differential equation be AUxx + BUxy + CUyy + DUx + EUy + F = 0 If B2−4AC&lt;0, then…

Q: (4) Suppose z = f(x, y) where f is differentiable (both f, and fy exist). In addition, suppose =…

A:

Q: Find the values of x for which the series converges. (If the answer is an interval, enter your…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Use the sum and difference identities to rewrite the following expression as a trigonometric…

A:

Q: Use a table of integrals to find the area of the region bounded by the graph of y= 5 0 Click here to…

A:

Q: y" + 4y = sin ³x

A: We need to solve D.E.

Q: +-8+ A new function, f, is defined as an integral: f(x) What is the value of f(8)? Answer: 19 We…

A: NOTE: Refresh your page if you can't see any equations. .

Q: Is the graph of g(x) = 4x³ + 9x² + 7x + 3 concave up or down at the point with X-coordinate -2?…

A: g(x)=4x3+9x2+7x+3

Q: Determine the different possibilities for the numbers of positive, negative, and nonreal complex…

A:

Q: Plot and label the points being described and identify the coordinates of the points. A is 5 units…

A: Topic = Coordinate geometry

Q: If f(x) = 6 ln(8x + 7 ln(x)), ƒ'(x) = ƒ'(1) =

A:

Q: 4. A box is to be constructed with the base length twice the base width. The material used to build…

A:

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A:

Q: B. Prove the following: NO Differentiation 4. lim = : -10 x → 25 5. lim x 0 6 lim 25-x √x-5 sin8x…

A:

Q: Radioactive Decay Phosphorus-32 (P-32) has a half-life of 14.2 days. If 300 g of this substance are…

A: As we know that the radioactive decay is modelled by Q(t)=Q0ekt, where Q0 is the initial amount of…

Q: (a) Show that for x ≥ 1, 1 √1+x² 1 > 0. (b) Use part (a) to show that the integral S 1 √1+x²…

A:

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: We need to find out the current weekly profit,

Q: State the quadrant(s) in which an angle in standard position with measure 8 lies under the given…

A:

Q: 4. a) Find the arc length of the function y = ln(1 - x²) in the interval [0, 1]. b) Find the…

A:

Q: 3. Find the D.E. of the family of a. parabolas with vertices on the x-axis, axes vertical and having…

A:

Q: Find the differential of the function. y = √2-t8 dy= X

A:

Q: Calculate the derivatives of all orders: f'(x), F"(x), F"''(x), f(4) (x), f(x) = 4x - 1 4e²x-1 f'(x)…

A:

Q: Evaluate x√√21x² + 21y² dA, where D is the shaded region enclosed by the lemniscate curve ² = 0.5…

A:

Q: Express f(x) in the form f(x)=(x-k)q(x) +r for the given value of k. 3 2 f(x) = 5x +x+x-7, k= -1…

A: The given function fx=5x3+x2+x-7, k=-1. We have to write the function in the form fx=x-kqx+r.

Q: 14. sin 23; exact value of: given: sec B = -3,<B<t 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate the line integral foF-dr, where F(x, y, z) = -5 sin azi - 4 cos yj - zzk and C is given by…

A:

Q: Find f (0) if f(w) 2- ew 1 + ew

A: Givenn function:- fw=2-ew1+ew

Q: Find a value of c so that y=x²-16x + c has exactly one x-intercept. C= (Type an integer or a…

A: We need to find the value of c for which y=x2-16x+c has exactly one x intercept.

Q: Find the derivative of the function f(x) df dx = = 5 ln(x) + e5x

A: In this question, we want to find the derivative of the given function.

Q: 4. 5. 6. Solve (-5+91)/(1-i) Solve (5-41)/(-2+6i) Solve (3+5i) - (11-9i)

A: 4)-5+9i1-i

Q: Suppose F(4) = 6, F(5) = - 10, and F'(x) = f(x). 5 f(x) dx [5

A: Topic - definite integral We are given, F(4) = 6 ,F(5)=-10 and F'(x)=f(x) We need to find ∫45f(x)dx

Q: Given f(x) f(x) = ln (√x² + 3) find f'(x) f'(x) =

A:

Q: (b) Use the gradient to find the directional derivative Du f(x, y, z) of f(x, y, z) = sin(3x) cos(8y…

A:

Q: ) Let r(t) =(√5-t, ¹+2,t sin t). (1¹) C A) Find the domain of r(t). B) lim r(t)=? 1-0 c) fr(t)dt =?

A:

Q: Determine whether the vector field is conservative and, if so, find the general potential function.…

A:

Q: Use a table of integrals to evaluate the following indefinite integral. The integrals may require…

A:

Q: Which of the following is a proper substitution for the following Bernoulli's equation? xy'…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: D Question 38 Let A = 03 O-11 O 11 O-3 [23 3 2 -17 4 13 1 Find C32.

A:

Q: Compute the line integral of the vector field F = (3zy-¹, 4x, -y) over the path c(t) = (et, et, t)…

A: see below the answer and calculation

Q: Identify the quadrants of the following points. A.)(2,-8) B.) 7 units above the x-axis and 5 units…

A:

Q: The inverse Laplace transform of F(s) = f(t) Use step (t-c) for uc(t) = -98 e s2 + 18 - 2 is

A:

Q: A product is introduced to the market. The weekly profit (in dollars) of that product decays…

A:

Q: Evaluate the limit using L'Hospital's rule lim 15xe - 15x *→∞

A: