Write down a differential equation of the form = ay + b whose ay dt all other solutions diverge from y = 9 as t y' =

Q: Give 1 problem of partial differentiation of function of U with respect to 3 independent variables…

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Q: 5. I. Evaluate each determinant. -2 -1 4 2 5

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Q: xn+xn-1+xn-2+...+ roo (n−1)n-1+(n−2)æn=2+…+ What is the lim ne Zt?

A: This is a problem related to limit and continuity. Based on the general formula and concept we will…

Q: Which of the following functions will be continuous on (0, 3)? OA. h() = 12 8² + 6| OB. g() = 7/2-16…

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: Find the area of the region bounded by the curves 1 y = (x+4)²¹ Y = 4 and the x-axis using vertical…

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Q: 2 (xy + x) dx = (x²y² + x² + y² + 1) dy Oln(x² + 1) = y² – 2y — 4ln|c(y + 1)| O In (x² + 1) = y² +…

A: We have to solve given differential equation.

Q: Use the table of integrals to evaluate the integral. (Use C for the constant of integration.) 9…

A: Follow the procedure given below.

Q: (5) If f(x) =.... then f(x) is reducible in Z5[x]. (i) x³ + 2x² + 2x + 1 (ii) x² + 1 (iii) x² + 2

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Q: I. 1.) Simplify. Write "undefined" for expressions that are undefined. 2 [164] -6 -5

A: Topic = Matrix

Q: Evaluate: √₂²³ Sª₁ S₁ (4x² yz — ) dz dy dx -

A: This is a problem related to triple integral. based on the general formula and concept we will…

Q: Find the solution of the given initial value problem. 8 y' - 7 y = cos t t-8 Y(T) = 0, t> 0 t y(t) =

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Q: 1. 3 If the total cost function is given by TC = 300 +5q+ what is the marginal cost when q = 3? q² 1…

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Q: Q9. If W = f(u)=u³ +sin ¹u+lnu, and u= ax +by, where a, and b are constants, show that aw Əw b oy Əx

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Q: Evaluate each determinant.

A: A = -1523

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

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Q: ³₂²₁²[z³(x + y)³] dz dy dx

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Q: 4 nd the area of the region bounded by 2x = y²+1 nd the y-axis using the horizontal strip.

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Q: 3 If the total cost function is given by TC = 300+5g + then the marginal cost function MC = I 3 O a.…

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Q: The Substitution Method states that A. If F'(x) = f(x), then [ ƒ (u(x))u²(x) dx = F(u(x)) + C B. If…

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: -X y" + 2y² + y = €²² ln x e^

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Q: 5x -3 2 Evaluate: f fx fdz dy dx 3x 2

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

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Q: Evaluate: ₂₁(4x²y — z³) dz dy dx-

A: ∫03∫-24∫104x2y-z3dzdydx

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 – x2 + 4, (2,16) y =

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Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

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Q: II. Find the inverse of each matrix. 5 -11 -9 1. -7 DO 8

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Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

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Q: 6. Evaluate the line integral y²³ dr + ²y dy where C' is the rectangle with vertices (0,0), (5,0),…

A: In this question, we need to evaluate the given line integral.  The given vertices of rectangle are…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: Evaluate: £²₁² [(*²₂²²] du dt - x+y

A: To integrate

Q: Which of the following functions will be continuous on (0, 3)? O A. g(x) = 7√2² - 16 OB. 6 f(x)…

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Q: Which of the following is true about the function a(x) = 21² +1-6 #-+-2 O A. a(z) has an infinite…

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Q: 2. Evaluate all of the integrals. a. [² sec² x tan x (1 + secx)² dx

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Q: Evaluate the following * [: 2x(4x² – 3)³dx (4x²-3)6 +C 24 O (4x² - 3)-6 24 +C (4x²-3)6 24 O " (4x² -…

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Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

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Q: 2 3 Evaluate: y cos(z5) dx dy dz 0

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Q: Consider the parametric curve: x = ln (8t) y = 5t³ Which integral gives the arc length of the curve…

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Q: 2 ³₁²₁²[z³(x + y)³] dz dy dx -4 J

A: In this question we have to solve the given triple integral.

Q: Two passenger airplanes left the same terminal at the same time. One plane flew due north at an…

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Q: (1) Let I be a proper ideal of the commutative ring R with identity. Then I is a ........ if and…

A: Given : Let I be a proper ideal of the commutative ring R with identity. Then I is a _______ if and…

Q: A stone, projected vertically upward with initial velocity 112 ft/sec, moves according to 8 = 112t -…

A: We have to choose correct option

Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: hi what is the simplified final answer of this?

A: Given problem:-

Q: (x²-y²)²1 Evaluate: ₁²² du du dt x+y

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Q: -2 Evaluate: ²₁²[(x²-²²] 0 x+y du dt

A: Topic = Integration

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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