1 dx x+1 1

Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: Do not use a calculator for this problem. Find the x-value where the relative maximum of y closest…

A:

Q: B: .A card is drawn from a well shuffled pack of 52 cards. Find the probability of: (iv) a card of…

A:

Q: Verify Green's Theorem by evaluating both integrals Lv = / an_ aM dA dx + x² dy * ax ay for the…

A: Given problem:-

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

A:

Q: Evaluate the following indefinite integral: dx r2 +1

A:

Q: Find the n-th Taylor polynomials for 1 about x = 3 and express it in f(x) = x+ 2 sigma notation.

A: Taylor polynomial of nth degree of f(x) centered at 'a' :          f(x) = f(a)…

Q: What are the 4 cases of partial fraction decomposition?

A: What are the 4 cases of partial fraction decomposition?

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A:

Q: 1) Evaluate lim 10. Vx-5 x-25 x25 Show every step.

A:

Q: 1. Use mathematical induction to prove the given statements below. 2 3+2 32+....+ 2· 3n-1 = 3" – 3…

A:

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A:

Q: Q2// Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0

A:

Q: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: Give a formula for the nth positive even integer: Here is a theorem: 1+ 2+3 + ... + n п(n+1) n = Use…

A:

Q: A rectangle is bounded by the x- and y-axes and the graph of y = (6 - x)/2 (see figure). What length…

A:

Q: consider the polar equation defined by r = 5 cos(2 sin 8), where s0< 2n. Determine the missing…

A: as points are already find π6,2.70    π3,-0.80    π2,-2.08  3π4,0.77                      π,5…

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

Q: 16 1 1 1 1 0 0 1 A : -1 1 1 Given the matrix A, find the determinant, adjoint and inverse.…

A:

Q: Find the area, A, of the region enclosed by the cardioid r = 8+ 8 cos 0. 96 л (B 52 A © 48 n (D) 100…

A:

Q: 2. Write down the name of the conic given by the polar curve r = 6/ (3 - 2 cose). Determine the…

A:

Q: Find the angle between the diagonals of a cube

A:

Q: The reverse order of 6 k 3xe" dydx is equal to 2 2(e - 1) O e - 2 O -e

A: Given: I=∫02∫x213xey3dydx The region bounded by the curves y=x2, y=1 from x=0 to x=2

Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: 1. Find the first partial derivative of z with respect to x if x'y+ y°z+ z'x = 11.

A:

Q: The volume of a cantaloupe is approximated by V=za. The radius is growing at the rate of 0.8…

A:

Q: gence for n! n=0

A:

Q: c) Period d) f(990°)

A: Follow the procedure given below.

Q: "If a function is continuous at some point then it must be differentiable at that point". Do you…

A: To show whether the given statement is true or false .

Q: 4n – 9 5n + 4 S - Given that sequence {an} = { (а) Show that the sequence is monotonically…

A:

Q: Begin with the Maclaurin (Taylor) series: cos r = 1 - 2! 4! 6! (a) Evaluate cos 0. (b) List the…

A: According to the guidelines, we are instructed to answer 1 question or 3 sub question,the others can…

Q: 8. 8 If , f(x-c)dx = 5 where c is a constant, then f (x)dx= -c

A:

Q: Find the volume of a solid bounded by y=(x2 -4) and y=(2x - x2) about the axis y=-4.

A: formula : here

Q: Graph the following function by using a convenient method. y = -3cos(30° - x/3)+ 7

A: This is a graph function

Q: Find the linear approximation of the function f (x,y) = ln (x - 3y) at point (7,2).

A: To find the linear approximation of the function fx, y=lnx-3y at the point 7, 2.

Q: ield F = (A, B, C) such that A = 2zx, B = 3z + 2y, 0,0,0) = 1 and C is independent of

A: We have to find the following conditions according to the given information

Q: suppose f(x)= x^3+ax+b where a<0 and has stationary points at (-2,3) find a and b and find position…

A:

Q: 2. Use the following partial graph of f(x) to answer the next question. f (x)' 10. The value of (f…

A: First we find f(x). Here f(x) is straight line which are passing through the point (4,0) and (0,6).…

Q: upper hall of the unit sphere x =) = 32'i+3xj-3 y'k.

A:

Q: a²z Determine if z = tan- + r2+02° r

A:

Q: 6. The initial population of a town was 12000. After 5 years the population increased to 38000…

A: Equation of population growth: P = P0 e^(at)

Q: Find the area enclosed by the given curves a) y=x^3, y=-x, x=-1, x=1 b) y=x, y= -1/x, x=1/e, x=e

A:

Q: A teacher has prepared 20 mathematic and 30 geometric and 25 physics questions for a test he can…

A: This question can be solved using the concept of combination.

Q: An open box of maximum volume is to be made from a square piece of material, s- 12 inches on a side,…

A:

Q: Question 1 of 8 - /5 View Policies Current Attempt in Progress Find the arc length of the parametric…

A:

Q: Graph the function and find its average value over the given interval. h(x) = x² – 1 on [0, V3] -

A: The given function,  h(x)=x2-1 on 0,3

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.

Q: Find the area of the region enclosed by one loop of the curve. r = 7 cos4e Select the correct…

A:

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.