Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim (1 - 4x)1/x

Q: Please show your answer to at least 4 decimal places. Suppose that f(x, y) = xy. The directional der...

A:

Q: -16x + 9y + 32x + 36y + 124 = 0

A: Given: -16x2+9y2+32x+36y+124=0

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: The differential equation 3y(x -1dx+(x³ +8y– 3xdy = 0; is exact because OM ON %3D

A:

Q: 3. f(x) = v2 – x at x = 1

A: As per our guideline we are supposed to answer only one question you can repost other questions in n...

Q: (x+1 4. lim f(x) = {(x - 4)2 +3 if x <4 if x 24 ズ→1

A: Given: fx=x+1, if x&lt;4x-42+3, if x≥4 To Find:  To determine limx→1 fx, then to graph the function ...

Q: B. Determine if lim f (x) = f (c)

A:

Q: Given the points A(-1,1,5) and B(2,5,0): a.) Find AB . b.) Find the equation of the sphere which has...

A: We will find the Magnitude of the vector AB Also we will find the equation of the sphere.Below find ...

Q: The cost function for a certain commodity is C(a) = 85 + 0.139 - 0.007q2 + 0.0008q3. (a) Find C'(100...

A:

Q: of

A:

Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: (3x*y + 4.xy' + 6)dx + (r* +6r°y -1}ty = 0 1.

A:

Q: 1. Let R be the region in the first quadrant bounded by the curves x = y² +2 and x = 3y. Set up inte...

A:

Q: If this semi-eclipse was a two-way tunnel with a 2 feet space between the buses if they are entering...

A:

Q: y = Che- + C2e-2 + x %3D y - 3y – 2x + 2y +3 = 0 Option 2 O None of the choices y/" - 3y - 2x - 2y+3...

A:

Q: V4+i- V4-1 3 (a) lim (b) lim ty9+t

A: This question is related to limit. Solve in step 2.

Q: 4 sin“ x cos° x dx

A: As per our guidelines we are supposed to answer only one question and rest of the question will be r...

Q: Find unit vector in the direction of . Show all your work on your own paper; leave the box below BLA...

A: We are asked to find the unit vector in the direction.

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 E (-1,^...

A:

Q: Determine if the given function is continuous and differentiable at the indicated values of x. Write...

A:

Q: Let R be a region bounded by the curves y = x² and y = 4x – x². Evalua /| (a + y)dA. R

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. у 3 ; d'y/dx

A: Question 1,Given,            y=x2-3x3xTo find : d3ydx3

Q: Use the limit comparison test to determine whether the series converges. 00 4 5k + 5 k=1

A: Given that: ∑k=1∞45k+5

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: sin xdx 5t car? x

A:

Q: Find the area bounded by y = x2 – 2x – 3 and y = x + 1.

A:

Q: Find the derivative of the function using the definition of derivative. State the domain of the func...

A: (a)        f(x)=x2-2x3f'x=limh→0f(x+h)-f(x)h=limh→0x+h2-2x+h3-x2+2x3h=limh→0h2+2xh-h3-6xh2-6x2hh    ...

Q: READING 18°F IS BROUGHT NTO Å 70 °F; 1 min LATER IS 31°F. DETERMINE HE A) A THER MO METER ROOM WHER ...

A: Using Newton's law: dTdt=-kT-T0...(1) Here, T0=70°F So, (1) gives: dTdt=-k(T-70)⇒dTT-70=-k dt⇒ln |T-...

Q: Evaluate the following functions. 1. lim x2 • coS X X 4.

A: Our Aim is to evaluate the function given below:-limx→π4x2. cos (x) -(i)

Q: Solve the following problems below about derivative. Simplify your answers if necessary. 1. A three-...

A:

Q: FIND THE INDICATE ORM! DERIVATIVE IN TIS SIMPLIFIED (x2-3x)3 1. y= ; d'y/dx

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

Q: It is easy to check that for any value of c, the function is a solution of the equation to r2 Y = xy...

A: We have to find value of c

Q: Find x²z ds, where C is the line segment from (0,6,4) to (1,3,-2) C

A:   ∫C y ds,  C: x=t2, y=t,  -2≤t≤3   dxdt = 2t,   dydt= 1∫Cy ds = ∫-23 t  (2t)2+1 dt=∫-23 t  4t2+1 dt...

Q: 1-cos2 x 6. lim x-0 9x

A: To find the limit values: limx→01-cos2x9x

Q: 7. If cos 0= where 0< a< 2, what is csc 0? 2 A) +- C) 4-a a В) + D) +- 4-a 2.

A:

Q: 1. y+/x +y = x at ( 3, 1)

A: Part 21,Given,            y+x+y=x , 3,1To find : The equation of the tangent line and normal line.

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: Find an equation of the surface of revolution generated by revolving the plane curve about the indic...

A:

Q: Find the general form of f if f'(x) = 5f(x).

A:

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

A:

Q: X' dx - X Evaluate: 4x½ 3 3x6 а. 3x% b. 3/ (4 + +C 10 3 10 +C 3 5/ 3x% + с. +C 3% 3 10 d. 10 +C

A:

Q: x² –4 2. Find lim x→2 X-2 You must show your work or explain your work in words.

A:

Q: 10- Evaluate JS where E is the region that lies inside the cylinder x² + y²dV E x? + y? = 16 and bet...

A:

Q: Evaluate the piecewise defined function at the indicated values. f(x) = 5        if x ≤ 2           ...

A:

Q: Use f(x) = 3x − 5 and g(x) = 2 − x2 to evaluate the expression. (a)    (f ∘ g)(x)=   (b)    (g ∘ ...

A: Solving the problem by finding the value of composition.

Q: Find an equation of the tangent line to the curve y x at the given point (4,2). the definition to fi...

A:

Q: 33, 34, 35, 36, 37, and 38 The region bounded by the given curves is rotated about the specified axi...

A:

Q: x-2| Find lim x2 x-2

A:

Q: -2x y = C1e¯ª + C2e¯2¤ + x

A:

Q: 3x Find dx -if y 2х-1 3 1 1 а. (2х-1)2 b. (2х-1)2 (2х-1)2 d. (2х-1)2

A: Given that: y=3x2x-1