Evaluate the path integral fydx+zdy+xdz, where C is the ellipse in R³ obtained с by intersecting the cylinder x² + y² = 1 by the plane x+y+z= 1, with orientation (0, 1, 0) (-1,0, 2) → (1,0, 0) (i.e., counter clockwise orientation viewed from 'above' the ellipse on the z-axis).

Q: In a class of 60 students , 40 students like math, 36 like math science, 24 like both the subject…

A: Sol:- Given data :-40 students like maths36 students like science24 like both the subjectsi) The…

Q: Consider the interval I = [0, 10]. Since the rational numbers in this interval form a countable set,…

A: B

Q: Example 3: Sketch your OWN. Punnett square. (notes) The product of (−4x + 3) (7x − 5x −9) sketchpad…

A:

Q: Let A be a set. Define a relation on (A) as follows: For B and C arbitrary subsets of A, B-C iff B\C…

A:

Q: 5.) Y' x 3 solves x¹ x

A: The given equation is y=13x3. To Show: This equation solves the differential equation y'=x2.

Q: QA// Find the Fourier transform for the function sh 2 Y(t) 2

A: We have been given the graph of the function as:   To find: Fourier transform of the given…

Q: nt obtains the answer through the following 7.379 × 10-4 m³ x 3 I 100 cm 1m X 19.3 g cm³

A: What is Power of Ten: A power of ten is an integer power of ten, or ten multiplied by itself a…

Q: A subspace U of R^2 is a subset which satis es three properties: A) 0∈U, B) U is closed under…

A:

Q: The coordinate axes are to be rotated through an angle a to produce an equation for the curve 2x² +…

A:

Q: 3. The position in meters of an object along a straight track after t seconds is modeled by the…

A:

Q: Find the function f at z=10 which is analytical in a region R, such that its contour integral…

A:

Q: Suppose n circles are given in the plane, cutting the plane into pieces. Show that one could color…

A: Suppose n circles are given in the plane, cutting th plane into pieces. Show that one could color…

Q: Find the maximal value for delta>0  such that, for all x,  if 2<x<2+delta , then square root of x -2…

A: To Find: The maximal value for δ&gt;0 such that, for all x, if 2&lt;x&lt;2+δ, then x-2&lt;0.5.

Q: Consider the line integral = rydy - y²dr where is the square cut from the first quadrant by the…

A:

Q: Across 4 A differential equation of the form y' + p(x)y=q(x)y^n where n is real number (9) 5 A…

A: Across 4. BERNOULLI 5. INTEGRATING 6.EXACT

Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 C. e-2n

A:

Q: Question: 11.Phineas and Ferb are traveling from their house to their laboratory on the edge of…

A:

Q: 3. Solve the Differential Equation: (Eliminate natural logarithm in your final answer) y' = y(y + 2)

A:

Q: j=1 (2³) ² 2 j!

A:

Q: Shift the index to add the sums: 1. Σn=17-Σn-o(n+1)

A: The given sum is ∑n=1∞n-∑n=0∞(n+1). We have to shift the index to add the sum.

Q: hat is the solution of the equation 50x²+5(x-2)²= -1, IT X is a real-valued variable? 6.12or 3.88 b.…

A: Solution of the quadratic equation

Q: Solve the given initial-value problem. dy X- +y=6x + 1, y(1) = 7 dx y(x) = Give the largest interval…

A:

Q: Write a truth table for the statements (t^u^v).

A: What is Truth Table: A truth table is a type of mathematical table that is used in logic,…

Q: Given the functions f(t) and g(t), f(t) = 12 cos(200t + 45°) g(t) = 5 sin(200t + 102°) Solve the…

A:

Q: is ∼ p? 2. Let p: The Earth is round. q: Some cows have spots. What is p∧ ∼ q ? 3. Let p: All…

A:

Q: Use a scalar projection to show that the distance from a point P₁(x₁, y₁) to the line ax + by + c =…

A:

Q: 2. Let f(x)=x²-3x+7. Answer the following: a) f(4) = c) f(1/2) = e) f(3/y) = b) f(-3) = d) f(t + 2)…

A: Please find attachment below where I answered for D E F

Q: 3. Suppose you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On…

A: Given that you have an urn containing 7 red and 3 blue balls. You draw three balls at random. On…

Q: 2. Use separation of variables to solve the following equations: (a) (y² + 1)dy + (e² + x)dx = 0.

A:

Q: Let A = {a,b,c}. Is the following relation on A an equivalence relation? ~= {(a,b), (b,c), (a,a),…

A: The given problem is to check whether the given relation of A={a,b,c} is equivalence relation or…

Q: During the first year, the value of an investment rose by 12%. During the second year, the value of…

A:

Q: Э -3.5-3-2.5 -2 1.5 -1 -0.5 H -2 -3 0.5 1 1.5 2 2.5 3 3.5 X

A:

Q: Question 12 Which of the following follows the form y' + p(x)y=q(x)y" ? Ay'+xy=xy² B All of the…

A: Given that the form y'+p(x)y=q(x)yn

Q: а. (1- 15 ) -1 x² b. 3 пx2 C. Зу 4х -8 d. 4(y-5) 3x-6

A:

Q: Explain all methods of elimination for constructing the general solution of a homogeneous…

A: To Explain: All methods of elimination for constructing the general solution of a homogeneous…

Q: Determine the reactions at A and E if P = 920 N. The reactions are positive if to the right or up,…

A:

Q: 8. Find the exponential Fouvier servies for the function f(t) = 2t ............. 2-jam. DG e ans:…

A: What is Exponential Fourier Series: Over a specific length of time, a periodic signal can be…

Q: Problem 5. The following matrix is the augmented matrix of a system of linear equations in variables…

A:

Q: Sketch the region of integration and evaluate the double integral. [See ex) dy dx

A: We will draw region bounded region bounded by limits of integral and then solve it

Q: How soon after two o'clock will the hands of a clock form a 60 degrees? a. 21.82 mins c. 23.45…

A:

Q: 2.40 Solve the following problem for x (t) and y(t): x = -2x + 5y y = -6y - 4x + 10us (1) x(0)=5…

A:

Q: In Problem. formula to compute yn(x) for n < 4. Then write the expo- nential series for which these…

A: Given : dydx=4xy+2x2   ,   y0=0 To Find : Successive approximation formula

Q: Question 13 What is the complete set of roots of the auxiliary equation associated with 2y''-y"-…

A:

Q: Use differences to determine the polynomial function for the given data: f(x) 3 2 3 6 111 X -1 0 1 2…

A:

Q: 5) VN ше

A:

Q: Q Write the vector shown below as a combination of vectors and shown above

A:

Q: Find the exact magnitude and direction (to the nearest degree) of vectors AB where OA = (₁) and OB =…

A:

Q: A nut wholesaler sells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and…

A: To solve a system of two equation of two variable use elimination method  Consider one equation and…

Q: Determine which of the following expressions makes no sense, and state why. Simplify the rest. бij…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Let p: Today is Wednesday. q: It is raining. Write the statement ”If it is raining then today is not…

A: