If f is differentiable at a number, x, then f is continuous at x.

Q: Evaluate the line integral / (2x + 7y)dx + (4x – 6y)dy along the curve C: = 6 cos t, y = 12 sin t…

A: Let's find.

Q: Find the length of the curve, L. y? = 64 (x + 5)* , 0 0

A: The solution is given in the next step.

Q: A shelter rescues 4 cats for every 5 dogs. If they rescued 48 cats how many dogs did they rescue?

A:

Q: Find the volume of the solid that results when the shaded region is 3 revolved about the indicated…

A: The region is bounded by y=3x2 and y=3x3 from x=0 to x=1 revolved about x-axis.

Q: Let f: R → R some function that is at least two times derivable , for f we know that f"(-1) = f"(2)…

A:

Q: dx 2 X + 4

A: Topic = Integration

Q: . The line segment from (1, –1,3) to (0, –3, 1) forms a diameter of the sphere S1. Find the…

A:

Q: Express the integral as an equivalent integral in which the z-integration is performed first, the…

A:

Q: Current Attempt in Progress Find the area of the region inside the circle r = 18 sin 0 and outside…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 6…

A: A detailed solution is given below.

Q: :Find dy/dx of the following functions: x²e? y = log2 (2Vx+1, (x-2)*V +3 Vr +4

A: Derivative Please reupload 2nd question according to bartleby guidelines

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) 6t + sin(8t) i + e-4°k lim…

A: To find the limit of the given vector function.

Q: x Sin ( 3x- 2 |

A: Given: ∫ xsin3x-2dx   So, =-13xcos3x-2-∫…

Q: Show that ā b 12

A:

Q: Find the area of the region(s) enclosed by the curv

A:

Q: Question 9 1/2 Evaluate the iterated integrals J. J. sine r cos e dr de A 1/6 B) 1/2 6 D) 11/9

A:

Q: Evaluate J xy dA¸ where Ris the region in y =x? 2 A 13/7 16/3 18 D) 20 B.

A: To find : ∬xydA where  R is the region of y=x2 and y=0

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

A:

Q: Let y1(x) and y2(x) be solutions of the linear differential equation with constant coefficients…

A: To find  the possible solutions of given differential equation.

Q: A spring whose natural length is 14cm exerts a force of 33N when stretched to a length of 19cm. (a)…

A:

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A:

Q: Evaluate JJ Xy dA, where R is the region in LA ... y = x? R 2 A) 13/7 B) 16/3 c) 18 D) 20

A: A detailed solution is given below

Q: 17. Let y = 4t + 3, t = 6e and s = 1 + In x. Find dy in terms of x. dx %3D

A:

Q: Question 8 sine 1/2 I r cos e dr de. Evaluate the iterated integrals J. (A) 1/6 (в) 1/2 (D 11/9

A:

Q: Use the derivative of the function shown below to determine the open intervals in which the function…

A:

Q: Evaluate the line integral (4х + 5у)dx + (За — 6у)dy along the - curve C : x = 10 cos t, y = 20 sin…

A:

Q: Evaluate JJ xy dA, where R is the region in (1, 3) (5, 3) R (2, 1) (4, 1) A) 56 В) 67 с) 38 90

A: Explanation of the answer is as follows

Q: 2. Write the given (total) area as an integral! a. The area above the x - axis and below y = 4 -x2 T…

A: Area between the curve  y=f(x) and x-axis is defined as ∫abf(x)dx where a, b are point of the…

Q: 17-22 Use appropriate forms of the chain rule to find əz/du and əz/əv. I 17. z 3D 8x*у - 2х + 3у; х…

A:

Q: Find the limit. lim (ti – 3j + r² k) 1-2 lim (t i – 3j+r k) = i+ j+ i k %3D i

A: The question can be solved using the concept of limits.

Q: Find the arc length of the parametric curve. x = e', y = et, z = V2t; 0<t< 4 L = 54.6

A:

Q: Perform the indicated operation. Simplify if possible. b2 64 b+8 b+8

A: To simplify the given expression.

Q: Find the area of the region bounded by the graphs of f (x) = x° and g (x) = x. (А) 1 B c) 0.5 D 3

A:

Q: Compute f(x)dx 2x if x 1 f(x)

A: To find out the integration.

Q: For neN simplty 2-글 + 4-1 +8-금+16-습+. + +2"-그 2n

A:

Q: Matching Match the equation of each plane to its scalar form. x-y-2z+4 = 0 y = 2 E y-z-6 = 0 A D…

A: As per bartleby guidelines we only give first three question answers.

Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A:

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A:

Q: Find the centroid of the region. NOTE: Enter the exact answers. (ï, §) = (?, ?) y = r

A:

Q: Find the area of the region outside the cardioid r = 4 – 4 cos 0 and inside the circle r = 8. NOTE:…

A:

Q: sider the scalar function: f(x, y) = sin(3x)ey I the gradient: Vf(x, y) I the Laplacian: v2 f(x,y)…

A:

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: Given:          Curve y=2x2+10                     y=4x+16

Q: (a) Find an equation of the tangent plane to the surface at the given point. x2 + y2 + z2 = 19, (1,…

A:

Q: Evaluate the iterated integral. SS 5x= dy dz dz = 0 0 0

A: Integration is evaluated by integrating first y then x then z.

Q: 3600 The function s(x) = = 3600(60 +x)' gives a person's average speed in miles per hour if he or…

A:

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = V x2 + y2,…

A:

Q: Find the area of the region using a double integral. The region bounded by y = 2x, x + y = 3, and…

A: To find the area of the region bounded by the given curves.

Q: Use Green's Theorem to evaluate the line integral. 2xy dx + (x + y) dy C: boundary of the region…

A: We need to evaluate integral using Green's theorem.

Q: View Policies Current Attempt in Progress Find the area of the region inside the circle r = 30 sin 0…

A:

Q: True/False Indicate whether the statement is true or false. 9. A normal vector to a line is parallel…

A: We have to state whether the given statements are true or false: Statements are as follows: 9. A…