Q: 22 Evaluate. (n - 1)!, where n = 3 2 5 6
A: This can be solved as follows:
Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…
A:
Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…
A: f(x)=(x+5)23 f'(x)=23(x+5)-13 f'(x)=23 (x+5)3Let's understand f'(x) as a different…
Q: To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions
A:
Q: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12
A:
Q: 4 Which of the following is the correct expansion of (3x - 3y)2? 9 x2 - 18 xy + 9 y2 9 x2 - 9 y2 9…
A:
Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.
A:
Q: The integral dx – 4 3 1 Vx2
A:
Q: 1 lim, „(e* + x)÷ +00
A: Explained below
Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…
A: 1 pependicular line because given that both intersect at 90 degree 2 parallel line because both…
Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…
A: This problem gives us the system of linear simultaneous equations. This system can be represented by…
Q: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…
A:
Q: can you say about the series a, in each of the following cases? |an+1 lim n- c0 (a) an absolutely…
A: We have to find the convergent test
Q: Use substitution to convert the integrals to integrals of rational functions. Then use partial…
A:
Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…
A: We have to find out partial fraction
Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…
A: This question can be solved using the concept of shell method.
Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…
A:
Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…
A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…
Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…
A:
Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +
A:
Q: 1, g(z) VI+1 find the domains of (fg)(r) and (4)(). Is 3. If f(r) = VT (f9)() = V-1?(20 p) %3D Hinti…
A: Find your answer below
Q: 7. Lonsider the plane through the three polnts Po(1, 0, 0), Pi(1, 1, 0), P2(0, 1, 1). 7.1. Find an…
A:
Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…
A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x over the given interval [a, b].
Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question
A:
Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…
A:
Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…
A:
Q: the Area that lies inside r=3+2 sin 0 out side r=2 is
A:
Q: Jx In x dx S x
A:
Q: The functiion?n f(x)=/x) is odd or even?
A: Explanation of the answer is as follows
Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)
A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…
Q: Green theorem satisfied if the region C is closed True O false O
A: Greens theorem
Q: * the differential equation (x+y)dy+xdx=o is Homogeneous equation None of the above exact equation…
A: A detailed solution is given below.
Q: George was required to repay a loan that matured to $4,550 on August 14, 2015
A:
Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…
A:
Q: Use the data in the table below to answer this exercise. Number of Length seconds elapsed (in…
A: We need to determine if the area of rectangle increasing or decreasing.
Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…
A:
Q: Suppose the position of an object moving horizontally after t seconds is given by the follow a.…
A:
Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…
A: Please see the answer below.
Q: ()6 = K 3- 0- 0. 3 6.
A:
Q: 13. Let f(x)= x +3x-9x-13. (a) Find the intervals where f(x) id increasing and decreasing; (b) Find…
A:
Q: Prove: If s S6sn for all n EN and if both sn Land un+ L, where LE R, then t - L asn- 0 as well. That…
A: We are given that sn≤tn≤un for all n ∈ℕ and both sn and tn converges to L∈ℝ.We need to show that tn…
Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…
A:
Q: * the Area that lies inside r=3+2 sin 0 out side r=2 is
A:
Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…
A: Solve the following
Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…
A: Function is not continuous at those point where the graph of the function has missing points in…
Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…
A:
Q: What is the solution of D.E y" – 3y' = -2cos(2x) when solved using the method of undetermined…
A:
Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…
A:
Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False
A: Root Test : Suppose we have series ∑ an .Define, L = limn→∞ an1n .Then ,(…
Q: 5. Prove lim,40 V2r +I= 1.
A: Given :limx→02x+1=1
Step by step
Solved in 2 steps with 2 images
- Let 5x3 - y³ +5x³ - 4xyz - 874 0. дz ?z and ?х მყ Use partial derivatives to calculate дz ?х (6,-1,-3) дz ду (6,-1,-3) = = at the point (6, - 1, - 3).The equation of then tangent line to y?e2* = 3y + x2 at (0,3) is y= – 6x + 3 A True B) FalseFind the first partial derivatives of the function. бу f(x, у) 4 X, fy %3D II
- Use the Chain Rule to find the indicated partial derivatives. P = √u2 + v2 + w², u = xey, v = yex, w = exy; ар ар when x = 0, y = 6 ах ду ӘР ?х ӘР ду || =5c) Find the partial derivatives? y = 2x2+3xz+85w-8z2Compute the first-order partial derivatives of the function. z = sinh (6x³y) (Use symbolic notation and fractions where needed.) дz əx dz ду
- Compute the partial derivative of h(x, z) = ²xz-6x²z³. (Use symbolic notation and fractions where needed.) h₂(5,0) =Find all the second-order partial derivatives of the function f(x,y) = 2x² +7y+ 6x?y. = 4 + 12y 12x дудх Enter your answer in the answer box and then click Check Answer.Both first partial derivatives of the function f(x,y) are zero at the given points. Use the second-derivative test to determine the nature of f(x,y) at each of these points. If the second-derivative test is inconclusive, so state. f(x,y) = -9х + 18ху - у + 81y; (- 3, - 3), (9,9) What is the nature of the function at (- 3, - 3)? O A. f(x,y) has neither a relative maximum nor a relative minimum at (-3, - 3). B. f(x,y) has a relative maximum at (- 3, - 3). C. f(x,y) has a relative minimum at (- 3, - 3). D. The second-derivative test is inconclusive at (- 3, – 3). What is the nature of the function at (9,9)? O A. f(x,y) has neither a relative maximum nor a relative minimum at (9,9). B. f(x,y) has a relative minimum at (9,9). O C. f(x,y) has a relative maximum at (9,9). O D. The second-derivative test is inconclusive at (9,9).
- Use the Chain Rule to calculate the partial derivative. Express the answer in terms of the independent F(u, v) = eU+v, ду u = x³, v= 4xy ƏF %3DCompute the second-order partial derivative of the function g(x, y) = 13xy x-y (Express numbers in exact form. Use symbolic notation and fractions where needed.) 78 дхду =Find all the second-order partial derivatives of the function f(x,y) = 2x +7y+6x²y?. %3D 4+12y = 24xy дудх 12x %3D дхду