Determine the value of C for the given first order differential equation when x-2 and y=1. e#+v/ = e2¤-y

Q: 3.b) Eliminate the Ar bitrary Constants in the equation B.a) Eliminate the Arbitrary Conatanta in th...

A: Using differential equations. To eliminate arbitrary constant 1.differentiate given equation as many...

Q: ) Suppose that {am}n20 diverges and {bn}n20 converges. Then the sequence {am · bn}n20 diverges. 7. I...

A:

Q: Explain how you would approximate the slope of the tangent at a point without using first principles...

A:

Q: 2. The differential equation (4x'y -6xy-2x-3dx + (2x*y – 2.x' kdy = 0 is exact because ƏM ON dy

A:

Q: The partial fraction decomposition of 4x2 x + 7 can be written in the x3 + 4x2 + 9x + 36 f(x) g(x) +...

A:

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: Find the area of the region bounded by: r = 10 cos(100) 0 <0 < 2n

A: Given :r=10cos(10θ) 0≤θ≤2πTo find : The area of the region   

Q: 1. Rewrite the following improper integrals as a limit and then evalute them, or state that they div...

A:

Q: Determine C when x=y=O (xy + x)dx = (x²y² + x² + y³ + 1)dy C=0 C=1 C=-1 None of the Choices C=2 C=-1...

A:

Q: Use  f(x) = 3x − 5 and g(x) = 4 − x2 to evaluate the expression. (a)    f(f(2))   (b)    g(g(3))

A:

Q: 5. A ball is thrown vertically upward from the top of a 100 foot tower, with an initial velocity of ...

A: Given that position function is st=-16t2+10t+100 velocity =derivative of stvt=d stdt=d-16t2+10t+100 ...

Q: The length function for the curve yz ln(sinx) arc stacting point (,0) cwith

A: The arc-length of the curve y=f(x), a≤x≤b is given by: L=∫ab1+(f'(x))2dx

Q: x-2| Find lim x2 x-2

A:

Q: Given the function g(n) = 7n² – 2n° + nº + n - There are at most n-intercepts, and at most turning p...

A: In the polynomial having degree 'n' , the maximum number of intercept is same as degree. A polynomia...

Q: 1. The differential equation (3x +2xy +4y dx+(r' +8ry +18ydy = 0 is exact because %3D OM ON

A:

Q: 5. The differential equation (3r'e -21}dr +(r'e' -sin y Jdy = 0 is exact because ƏN %3D

A: Given:- Differential equation (3x2-2x) dx+(x3ey-siny)dy=0 To Find:- The given D.E is Exact because ∂...

Q: Use the Chain Rule to calculate the partial derivatives д(т, у) — sin (т? + у?), х— 4и — v, у — — (2...

A: Given g(x, y)=sin(x2+y2) ,x= 4u-v and y=-(2u+2v)

Q: 1. lim 5.54

A: To evaluate:limx→ c5.54

Q: ? – 1²’ 4² – 2²’ 5² 32* n + 4 An = ,sequence converges to п? — (п + 2)* - n + 4 An = (n + 2)? – n? s...

A:

Q: find dx/dt at x = 3 if y = -5x^2-4 and dy/dt = -3. dx/dt =

A:

Q: Provide a left-hand-side, right-hand-side proof of the following: dt

A:

Q: Compute the gradient of f(x, y) = 7 – 6x² – y" and evaluate it at the point (2, – 4). The gradient i...

A:

Q: dz dz Use the chain rule to find and as at arcsin(x – y), x = s² + t², y = 4 – 9st Z = az as az at

A:

Q: Match the integral expression on the left to its suitable transformation on the right, after using a...

A:

Q: Let а 3 (1,0, —2). 6 = (3, 1, –1). č = (1,0, –1). - Find the triple scalar product ā o (b × č), and ...

A:

Q: * 00 Your answer is partially correct. Whooping cough was thought to have been almost wiped out by v...

A:

Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

A:

Q: 33 + 5f(x)+7²(f(x))° = 0 and f(-2) = –1, find f'(-2).

A:

Q: Evaluate sin (2r)dr

A: From formula Sin 3x = 3 Sin x - 4 Sin3 x - 4 Sin3 x = Sin 3x - 3 Sin x multiplying - both side 4 Sin...

Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. - n→+∞ n

A: follow next step

Q: c.rechudu = 2 tan -I eu tc C. %3D

A:

Q: Ler foo cotccソー1)とCckm)+ agcx-1r cyce- y for Trder Svirs

A:

Q: Consider the indefinite integral r523 + 2х? — 72х-32 2x2 – 72x dx 16 - Then the integrand decomposes...

A: Evaluate definite integral ∫5x3+2x2-72x-32x2-16dx

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A: The given series is: ∑k=0∞ 56k+3

Q: The partial fraction decomposition of 4x 12 can be written in the form of 8x2 + 30x + 7 g(x) f(æ) + ...

A: We have to find the value of f(x) and g(x) 

Q: Find a parametrization for the line segment beginning at P,(4, - 7,- 7) and ending at P2(0, - 7,2).

A: The line segment beginning at P1&lt;4, -7, -7&gt; and ending at P2&lt;0, -7, 2&gt;  

Q: Suppose thatEn=1 an is an infinite series with partial sums given by SN = 10 – 30 3 3 An || e4 е30 n...

A:

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. cos?x sin x dy + (y cos³x – 1) dx = 0

A:

Q: Determine the order and degree of the following equations: a.) (d^2y/dx^2)^2 = (dy/dx+4)^3/2 b.) sqr...

A:

Q: An average of 90,000 people visit Riverside Park each day in the summer. The park charges $27.00 for...

A: NOTE: Refresh your page if you can't see any equations. . An average of 90,000 people visit Riversid...

Q: 6. f (x) = x* - 1; c= 1

A: Solution )lim x → c f(x) = f (c) F(x) = x4 - 1  And c = 1  lim x → 1 f(x) = f(1) f(1) = 14 - 1  f(1)...

Q: 3x 7. lim -4(2x+4)

A:

Q: The expression ā o (b o č) represents O a scalar something that does not make sense O a vector O a l...

A: I am attaching image so that you understand each and every step.

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y = ; d'y/dx 2. Y = (7x + 2)5 3....

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 E (-1,^...

A:

Q: Find the volume of the solid bounded by the paraboloid z=2 +x2 + (y - 2)2 and the planes z=1, x= -1,...

A: We are asked to find the volume.

Q: dy r +3x+3 Find if y= I + 2 da dy da

A: Given query is to find the derivative of the expression.

Q: dg 5t – 7t2 | for g(t) = dt 2et

A:

Q: Graph each: 1. f(x)= sin(2x)-2 Amplitude: %D f(x) Period: Vertical Shift:. Phase Shift Start: End: I...

A:

Q: Use f(x) = 3x – 5 and g(x) = 4 – x² to evaluate the expression. %3D - (a) (f o f)(-1) (b) (g o g)(-1...

A: