Question 1 Which of the following is false? O yofe" = eu . Ine u (x) In e O yof log, u = u' (x) In a O yof cosh u sinh u u (x) u'(x) In(a) 1. O yof log. u =

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

A:

Q: Find an equation of the hyperbola having foci at (1, -7) and (1, 3) and vertices at (1, -5) and (1,…

A:

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A:

Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

A: The objective of the question is find dy/dx.

Q: Find div F and curl F if F(r, y, z) = 13y"2°i – 11a2°j – 7xy°k. div F= curl F=

A: We have to find the  divF and curl F

Q: Find the cost function if the marginal cost function is given by C'(x) = x3 +4 and 27 units cost…

A:

Q: Your questions is to find the first and second derivatives in the given functions SHOW ALL OF YOUR…

A:

Q: Find div F and curl F if F(x, y, z) = x²i – 10j + yzk. div F= curl F=

A: As w e know that; The expression for the divergence of vector point function F→=F1i+F2j+F3k is: div…

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. 3…

A:

Q: Solve the separable differential equation dy 0.7y, and find the particular solution satisfying the…

A:

Q: Find the points on the surface 6x² + y² – 3z² = 4 where the tangent plane to the surface is parallel…

A: Here, the given surface is  6x2+y2-3z2=4⇒f(x,y,z)=6x2+y2-3z2-4 Let, P(x0,y0,z0) be the point of…

Q: Find r'(t). r(t) = (arcsin(t), arccos(t), 0) r'(t) =

A: This question is based on diffrentiation.

Q: Show clear and clean solutions. 1. By definition, find the derivative of a.y = %3D x+4 b. y = 4x2 –…

A:

Q: 2. By differentiation rules , evaluate the derivatives of the following and simplify as possible:…

A:

Q: S Sec ta

A:

Q: d f'(3).

A:

Q: X= 6 The area enclosed by the curves Y= and y= 2x from x= 1 to x= e is 2) e +1 O 3) +1 O 4) 2-2

A: Given query is to find the area enclosed by the curves.

Q: Find a value for k that will make the given function a probability density function. f(x) = kz, on -…

A:

Q: Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh…

A:

Q: Find the limit (if it exists). (If an answer does not exis lim t- 0 e4i sin(9t). + e-6°k 9t

A:

Q: Evaluate (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (5, -5)

A: The objective of the question is evaluate the definite integral.

Q: Use the below graph of f(x) defined on the interval (0,12] to answer 4 through #9. 4- 11 4) Over…

A:

Q: Find V· (V × F) if F(x, y, z) = 9 sin xi + 5 cos(2x – 3y)j+ 7zk. - V·(V × F) %3D

A:

Q: Find the derivative, dy/dx: y = log3 (2x +1) Oy =- (2z+1)3 In 3 Oy = (2r+1) In 3- Oy= log, e (2z+1)3…

A:

Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: Find the area of the quadrilateral lot shown in the figure below to the nearest square foot. 130 ft…

A:

Q: III. Do as indicated showing the details of your work. Show your complete solution on the space…

A: A detailed solution is given below.

Q: Find div F and curl F if F(x, y, z) = 11y"2°i – 17x"z1ºj – 6xy°k. - div F= curl F=

A:

Q: Describe the graph of the equation. r - 12cosri + 5sinsj -k O tis an ellipse in the z = -1 plane,…

A:

Q: I have this math problem that I am very stuck on Suppose that a, b, and c are unknown constants such…

A: answer is in next step .please give a like.

Q: Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary…

A:

Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: Use Lagrange multipliers to find the extreme values of the function f(x, y, z) = x² +y? + z2 subject…

A:

Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

A:

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (9t + 4)i + tj, 0 sts1

A:

Q: f(x) z400 g(x) lim where f(r) and g(x) are seen in the graph. 3 S(x) 2 -5 -4 -3 -2 -1, 2 9(x)

A:

Q: e8/n Σ 7 = 1

A: Given query is to find series converges or diverges.

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A:

Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: arcsin = ab x² – Va² – y²; Find y'.

A:

Q: Find the work done in pushing a car a distance of 12 m while exerting a constant force of 300 N.

A:

Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 6 + 9x dx (x8 + 1)e*³.

A:

Q: Verify the Divergence Theorem by evaluating F.N dS as a surface integral and as a triple integral.…

A: Here, using the Divergence Theorem, ∯F·Nds=∫∫∫v∇·Fdv Here, F=xy,z,x+y So, ∇·F=∂F∂x,∂F∂y,∂F∂z=y,0,0

Q: Q5. Kindly answer within 10 mins, thank you

A:

Q: | (ax³+bx²+cx) dr=2b | x²dx where a,b and c are constants. A True B False

A: To determine whether the given statement is True or False.∫-99ax3+bx2+cx dx=2b∫09x2 dx where a, b…

Q: Which among the following is false for getting the derivative of an implicit function? O Another way…

A:

Q: メーャゴ+2x)dメ+でyalyo

A: answer is in next step .please give a like

Q: If f(x) sin (2a+5) then dom(f) = %3D x+2 (A) (–3, –2) (B) [–3, –2] (C) (–1,1) (D) [–3, –2) (E) (-∞,…

A: