Find an integrating factor and solve the given equation. 18y dy (18x + 7) + (6²² +15v ) = 0 X dx

Q: Determine a, b, c and d so that the curve y = ax³ + bx² + cx+d₂ pass through (-1, -1) and have at…

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Q: x4+x² - 6xy + 3y² x² - 6xy + 2y² + 10x + 2y - 5,

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Q: Consider an RL circuit with a constant source voltage Eo and initial current I(0) = 0. For the…

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Q: Problem 3: Consider the second-order linear initial value problem: x²y" + cos(x) y = 0, y(1) = 0…

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Q: III. Consider the parabola C: z-4 = -(x - 2)² on the xz-plane. 1. Find the center-radius form of the…

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Q: 2. T Let n be a positive integer. Use mathematical induction to show that 1+8+27+ + n²³: .... =

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Q: What is the anticlockwise moment acting on this crane? 25 m 5m load 4000 N O 120000 Nm O 100000 Nm O…

A: To find the anticlockwise momentum acting on the body :-

Q: Solve the following differential equation (√y²+1)dx tan-ly + (xlnx)dy = 0

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Q: Find the differential equation whose general equation is y = C₁x + c₂ex. A. (x-1)y" - xy' + y = 0 B.…

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Q: Describe geometrically all points P(x, y, z) that satisfy the given condition. X = 1

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Q: 3) Prove by induction that n²>2n + 3 for every integer n >3

A: According to the guidelines, we can solve only one question. So, I solve question number 3. Please…

Q: 1. A function f is defined by 1 2 = + 3 4 f(x)= x + 3 32 33 34 for all in the interval of…

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Q: Which of the following statements is (are) true? If an has a finite sum, then lim an = 0. 818 n=1 ∞…

A: To connect connect option from given question.

Q: Find the volume of the solid generated by revolving the area bounded by x² - 2kx - 4ky + k² = 0 and…

A: Consider the given curves, x2-2kx-4ky+k2=0y=x2-2kx+k24k and, 4x-4y+k=0y=4x+k4 the area bounded by…

Q: FINITION MATCHING - Match the definition (A, B, C...) in the right column with the correct term the…

A: Solution

Q: What is the value for the function in the image? [-0.1]

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Q: A company distributes its products from four source to four retails stores. The supply capacities of…

A: According to guidelines we can solve only one problem.

Q: Let A, B, and C be sets. Using Venn Diagram and Set identities, show that a) (A∪B)⊆ (A∪B ∪C). b)…

A: Follow the steps.

Q: the country of sokovia regulations states that plate numbers for cars should be composed of 4…

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Q: find for y dy dx x sinx (x-1) (x²+1) Evaluate f(u² + 2u + 3)7 (u + 1)du

A: To find the derivative of a composite function and the integration by substitution method.

Q: Find the upper Riemann sum U(f, P) and the lower Riemann sum L(f, P) for each of the following…

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Q: Find an inverse for the linear congruence 9x = 15 (mod 23) by using the Euclidean algorithm to…

A: The given problem is to solve the given linear congruence equation by finding the inverse using…

Q: Which of the following statements is (are) TRUE? 8 A. If lim an = 0, then Σ an is a convergent…

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Q: Find the volume of the rectangular prism for each of the following a. length 3 cm, width 10 cm,…

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Q: 1) solve the following differential equations: a) (2x²³x+ sin (1/2-½x) + y ) dx + (x²y-x) dy = 0

A: We will make grouping of terms such that integration can be done .  Note: only one question is…

Q: Suppose the interest rate is 6.9% APR with monthly compounding. What is the present value of an…

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Q: = Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina d = xy a=2 c=2 show…

A: Mass of a lamina is given by M=∫∫A δ dAhere δ is the density function.

Q: 41. Two straight roads diverge from an intersection at an angle of 60°. Two cars leave the…

A: Cosine formula  In a triangle ABC if a.b.c denotes sides opposite to angles A,B,C respectively i.e.…

Q: Find the residues of the following functions at the indicated points. 2-2 a. at z = 0; at z = 1 b.…

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Q: Q2- By using Chain Rule, find au/ax, du/dy, du/az at (x, y, z)=(√√3, 2, 1) u= p-q 9-r' p = x+y+z…

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Q: Prove that the function f(x)=Lnx, defined on the domain is a concave function. For this purpose,…

A: Follow the steps.

Q: The differential equation formed by eliminating a and b from y = ae* + be* is

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Q: 2. The Dual model a. Is derived systematically from the Primal model b. provides the decision maker…

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Q: Consider the equation -u" + qu 0 and suppose qo ≤ = q(x) ≤ 9₁ < 0. Show that for two consecutive…

A: The solution is hand written as requested:

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ex+y dxdy

A: Given, F=∫1ln8∫0lnyex+ydxdyLet f(x,y)=ex+y=∫1ln8∫0lnyf(x,y)dxdy∫0lnyf(x,y)dx ⇒f'(x,y) from x=0 to…

Q: 4 Which of the following is (are) true? 2x du I. · 1₁ √2²2² +¹²=So tu dx O I only O ll only Both I…

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Q: c) Develop an M-file function for the trapezoidal rule. Use it to estimate the integral of f(x) =…

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Q: The Cartesian coordinates of a point is (4, -4√3). This point in polar coordinates can be…

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Q: Consider a force field F = yi+zj+k that acts along a path from foothill A to the top B as in the…

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Q: S S SVET Evaluate the iterated integral Hint: It maybe be easier to use spherical coordinates.…

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Q: Find the volume of the solid bounded by the paraboloid z= 32-8x²-8y² and the plane z=0

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Q: a) After using the ansatz u(x, t) = X(z)T(t), which equations do you get? Pick only two. (below C'…

A: As per the company rule, we are supposed to solve the first three sub-parts of a multi-parts…

Q: Find (a) the Fourier cosine series (b) the Fourier sine series. Please list the answer to at least 3…

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Q: 3. The quantity demanded for the Sony VCR model 37 is 2500 per week when the unit price is $700. For…

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Q: 5- Find the Maclaurin series generated by the following function: f(x) = sinh(x)

A: Sol

Q: Consider the function defined by f(x) = e-x² . a. Using the Maclaurin series expansion of e*, to…

A: Given function is f(x)=e-x^2

Q: 8. Loras's taxable income last year was $83,350. According to the tax table, how much tax does he…

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Q: 1. Consider a circle of radius 6 with center at the origin. a. Lines with slopes 1 and -1 each…

A: The point symmetric about x-axis of (x,y) is (x,-y) The point symmetric about y-axis of (x,y) is…

Q: 9 The residue of 6 (mod 5) is (Round to the nearest whole number.)

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Q: For the function z = f(x, y) = x² − xy² + y³, find the equations of the tangent lines in both the…

A: given function z=fx,y=x2-xy2+y3 find the equations of tangent lines in both the x-direction and the…