1)

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

A: We have to find out determinant

Q: cos(x) 2x+3

A:

Q: Q5 A) Calculate the gradient of f(x, y) = √√x² + y²

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution = 2x +…

A:

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

A: (1) we have to fill in the blanks Let I be a proper ideal of the commutative ring r with identity.…

Q: 4) A projectile travels at a velocity of v(t) = 45-32t, where v(t) is measured in feet per second.…

A: According to our answering guidelines we can answer one question at a time, therefor I am answering…

Q: cln 3 In In 2 tanh xsech’x_dx

A:

Q: f) y = x²-1 x²+x-2

A:

Q: 1. Find the area under the curve y a. f(x) = x³ [2,3] b. f(x) = 3√x [1,4] (x) over the stated…

A:

Q: Solve the given differential equation. All solutions should be found. dy x³-8y dx x NOTE: Use c for…

A: The given first-order differential equation is: dydx=x3-8yx⇒dydx=x2-8xy⇒dydx+8xy=x2...(1)

Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

Q: Evaluate the following 3 3 x4 + 2x³ + 3 X² + x + 1 x4+x² 2

A: We have to evaluate the integral.

Q: 5. Use Cartesian coordinates to evaluate [[["² y² dV where D is the tetrahedron in the first octant…

A:

Q: Differentiate the function. f(x) = x²(x + 8) f'(x) = x³ (x + 8) 3 X

A: In this question, we need to find the derivative of the given function.

Q: A large pond initially contains 200 liters of fresh water (no chemical). A fluid containing 10 grams…

A:

Q: 4 Verify that the Mean Value Theorem can be applied to the function f(x) = x 5 on the interval [0,…

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Q: (3) If R is an integral domain has non zero characteristic, then Char(R)=..... (i) 5 (ii) 4 (iii)9

A: Option (i)

Q: Find the general Solution of the following PDES • з Их + 2 Иу , u(x,c) = чех (3У-2х)12 ans3- исх, у)…

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Q: 6 By separation of variables, Solve the following 5 PDES :- учи ²4 dx2 0 o u(e,t) = u(5,t) =6 u(x,0)…

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Q: ∫ [2+(1/x)] ln(x)dx

A: Given, ∫ 2+1xlnxdx

Q: Q4: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4…

A: The given integral is 4/sqrt(x), limit from 1 to 5.

Q: Solve the following integration corrected to 3 decimal places using: 1. Trapezoidal rule 4 intervals…

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Q: 2 убличк In'/xl alx

A:

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: 4 x dx Y 3- SSin X

A:

Q: dy a. Use implicit differentiation to find b. Find the slope of the curve at the given point.…

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Q: Find an equation of the tangent line to the curve at the given point. f(x) = 3x² – x³, (1, 2) -…

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Q: y"" - 4y" + 3y = 0

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Q: Find the area of the region above the curve y=x²-6, below y=x, and above y=-x.

A: Let's find area of region.

Q: Function h is graphed. h -4 -3 -2 L y 4 3+ 2- 1 -1- -2+ -3- 12 3 4 Find h(2) da. Give an exact…

A: This question can be solved using the concept of area under curve.

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

A:

Q: 8 What type of association does the following represent: The value of y decreases as x increases A.)…

A:

Q: dx (x² +25)3/2

A: To find the integration.

Q: 2. I. Evaluate each determinant. -4 3 -3 2

A:

Q: Example 1: Evaluate the integral: ₁²²=238+1² 2r-3 - 3x + 1 dx.

A: The given integral is (2x-3) /sqrt(x2-3x+1), limit from 3 to 5.

Q: a A person's intelligence quotient (IQ) is measured by the function I(m, a) = 100m where a is the…

A: see below the answer and explanation

Q: 5.) I. -2 -3 -6 2 Simplify. Write "undefined -4 6 0 +

A:

Q: IV. Evaluate: lim (x² + €¯²) (² - ¹ cs

A: We can evaluate the given limit by using the properties of  limits.

Q: 5. csc 6x dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 2. Solve each of the following integrals using integration by part: a) √3x² In 2x dx b) 5x sin 3x dx

A: Integration is evaluated.

Q: Consider the differential equation y" - y' + 3y = f(t), such that y(0)=0 and y' (0) = -9 f(t) is…

A:

Q: (d) Give the local maximum and minimum values of f (x). Enter your answers in increasing order of…

A: Local maxima and minima and concavity

Q: Find Domain and Range бяц tue Ⓒsin (x+3) +2y x²+2y 3x + y² 3) 3x + Sin (3x) +2y+Z² Ⓒ x+2y cos2x…

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Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

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Q: • show that (x, y, z) = PDE : 2²4 ахг 824 дуг + 2 x² + y² + z² = 0 8²4 dz² satisfies the

A: This question can be solved using the concept of partial differentiation.

Q: F = cos(x) Î+sin(y) ĵ+cos(z) k

A:

Q: e for (2x + 1) cos(x) dx. 14. Use integration by parts to evaluate

A:

Q: xy³ = Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ?

A: If limit tends to 0 and function tends to 1 then f is continuous.