C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

Q: Find the roots of: (D² - 4) (D2)y = 0

A: To find the roots of the given equation D2-4(D-2)y=0

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to i + j a cannot be determined O a is…

A: Find out the correct option.

Q: 7) The integral that finds the length of the curve y = 1+ In(sec(z)), 0≤ ≤ [² tan(x) da (C) csc (2)…

A:

Q: 25. f(x): Determine the value of k so that f(x) is continuous. Show work. 2x² - k x < 2 = 2x² - 5x -…

A:

Q: Let f:R-R,g: RR and h: R→→R be differentiable function such that f(x)=x²+3x²+4 g(x)=x and…

A:

Q: The angle between the two vectors is not equal to Select one: O True O False u= and v= 0= π

A: Here we use the concept of dot product of the vectors.

Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

A: we know that if a plane is  perpendicular to a vector then the  normal of the plane is parallel to…

Q: (d) dx Oseparable exact linear in x linear in y homogeneous 0 Bernoulli in x Bernoulli in y Onone of…

A: Explanation of the answer is as follows

Q: Let à = i-5j - 2k. Find |āl.

A: Using the formula if  a→= x i^ +yj^ +zk^then a→=x2+y2+z2

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 So dx 6 x+8 Write your answer…

A:

Q: Perform a first derivative test on the function f(x) = 2x³ + 3x² - 36x +4; [-3,5]. a. Locate the…

A: To find out the critical points, maximum and minimum and absolute maximum and minimum.

Q: Find the volume of the solid whose base is a circle with radius 12 that has cross-sections…

A: Recall that the volume of a solid, if the cross-section is perpendicularto the x axis, and its area…

Q: Find the length of the curve for the interval 1 ≤ x ≤ 9 3 = √ √ √ ² ³ - 1 d dt 1 Select the correct…

A:

Q: La longitud de un rectángulo es tres veces su ancho. Si el perímetro del rectángulo es 72 in, ¿cuál…

A: Length of rectangle be l

Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: 6. If : G H and 8: H K are both homomorphism, so is 0. • : G → K.

A: We can solve as follows

Q: Find equation of langent line y=-6-2x-3x² at (1,-11)

A: To find the tangent line.

Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

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

Q: The distance from the point P(2, 1, 0) to the plane 2x + y + 2z+ 6 = 0 is 3.7 True O False

A:

Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

A:

Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: If the vectors a and b are such that |a| |b| = -5, and a b = 10, then the angle between the two…

A: We want to select the correct option.

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then fxy = -10x e5y True O False O

A: A detailed solution is given below.

Q: 11790 round of to nearest 10s And hundreds??

A: 11790 round of to nearest 10s And hundreds??

Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then f xy = -10x e5y True O False O

A: I have stated the used formulas in the solution.

Q: Express in p/q form 0.005

A: Express in p/q form 0.005

Q: The graph of f(in blue) is translated a whole number of units horizontally and vertically to obtain…

A: We have given a function f=|x| , we have to find g(x) with the help of graph

Q: Q31 Find the Laplace Transform to the following function L sin2t cos3t

A:

Q: State the order of the given ordinary differential equation. t7y(5) t4y" + 5y = 0 Determine whether…

A: As both questions are not part of same question so as per policy only first question is answered.…

Q: Sinize da Cos2x-5 Cosse +4

A:

Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

A:

Q: Example 5-34: For each of the density functions of a continuous random variable X shown below, find…

A:

Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.

A:

Q: 0.10.9062cos (1-√√3x) d x 6 DL 11 2

A:

Q: The vectors a = : (4, -10, 8) is perpendicular to the vector b = (8,-8, -14). Select one: True O…

A:

Q: (m) X + x + 1 dx Oseparable exact Olinear in x Olinear in y homogeneous Bernoulli in x Bernoulli in…

A:

Q: (A) 3y²ex+y²dx (B) 3) [3y²e²+ y² dx 0

A: In both integration we have to integrate with respect to x . So we treat y as a constant &amp; solve…

Q: x cos 3x dx

A:

Q: A-Show if the series is convergent or divergent (2n)! 2n n²

A:

Q: Find the derivative of the function y - 4 sec¯' (x + 2). (Use symbolic notation and fractions where…

A:

Q: find the general solution (x - 2y + 3) dx + (x-3) dy=0

A:

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

Q: 27. Consider the function h(x) = 2x²e-x² a) In two or three steps, write the properly simplified…

A:

Q: 46×12

A: Find value of 46×12

Q: 6. Which substitution can work to compute for the indefinite integral fx√√x + 5dx? A. u=x C. u=x+5…

A: we use substitution method to  find the value of integral

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

A: