Evaluate the integral S√² - 4 + 3s ds = S√-4 - 4 + 3s ds.

Q: If z=x+iy where x and y are real, find the real and imaginary parts of:- 1 x² - y² (x² + y²)² X x² +…

A: The number is 1z2 where z=x+iy

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Q: 7. Obtain the MacLaurin series representation of f(x) = In(1-x).

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Q: Q2) Evaluate the following integral (use Integration by Parts) Su². cos³ u+5 1-sin² u du

A: Concept: Integration by parts: To combine the end result of two or more functions, integration by…

Q: 2. Find the unit tangent vector for the curve r(t) = (t cost, tsin t).

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Q: I need to solve the integral

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Q: Q5 \ Find a root of an equation Bellow by using Bisection method Where the accurate to at least…

A: Here we have to use the bisection method for the solution.

Q: If a xi = 0 and a x j = 0, then Select one: O a is equal to k O a is any vector perpendicular to ix…

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Q: Use the Limit Comparison Test to determine if the series converges. k³ +7 k(k+ 3) (k − 2) (k+1) k=1…

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Q: The alternating series E-1 (-1)" n³ 2n³+3 is diverge. True O False O

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Q: Find the average value OF: f(x) = 2 sinx + 3 cosx on the interval [0, π] Average value= OF C is the

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Q: The equation of plane through (3,-1,7) and perpendicular to the vector n(4,2,-5) is 4x + 2y5z-25 =…

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Q: The length of the curve r = sin² for the period 0 ≤0 ≤π is 6 O 2 O 8 O 4 O O None of them

A: Use derivative and length of curve formula for polar curve.

Q: A company determines that its revenue function is given by R(q)=−0.4q^2+2457q and that its cost…

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Q: Find dy for y=5x^3+ 7*square root(7x)

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Q: If 2 [². then is equal to f(x)dx = 5 and Select one: O 15 O-5 O 10 none of the others -10 5 [³ 5 1₂…

A: We can find the correct option as below.

Q: 1. If y = sin x² x =²), ex find dy dx

A: Given y=sinx2-xex To find dydx

Q: Evaluate Solution √25 Let x = 5 sin(8), where 플 플 √25 - x² = √√√25 - 25 sin²(0) = √√25 cos² (8) =…

A: we have to solve the integral using substitution.

Q: I. Solve for what is asked. Show complete solutions. -L²₁ (x²³ - 2x) d 1. Solve for a + bx² 3ax +…

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: Find the area of the region bounded by the graph of f and the x-axis on the given interval.…

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Q: Find the domain of the following function: X-2 f(x) = x25xtô a. (-∞,2)U(2,00) b. None of these…

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Q: Sketch the following surface: (2+4)² + (y-1)² = 1 a.) Draw the projection on a xy plane Show…

A: The eqaution is given  (z+4)2 +(y-1)2 = 1

Q: ne integral. 11 3 √x + 5dx = Please enter your answer two digits format(For xample: 3.14)]

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Q: Find the area bounded by the given curves. y = x², y = 2x² - 3x A. 9.0 sq. units B. 40 so units CAF

A: We have to find area

Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: Solve: y + 4y = x² + ex Yc=C1+C₂_ Type the letter corresponding to your answer. QUESTION 1 Yp = A +…

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

Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: If w = f(r,s,t), r = x-y, s = y - z, t = z − x then aw дw ?x + О O -1 -2 Əw дz 1 2 (

A: It is given that, w=fr,s,t, r=x-y,s=y-z,t=z-x.   The objective is to find the value of…

Q: Evaluate 4 1 2 (Nat 13.402 - -13.402 13.042 • Vx + 3 3 X 4 | -13.420 +18 -1.3204 4 X None of them 4…

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Q: Find cos(0) where is the angle between u = cos(8) 1/9 2 (3) and y () 4 v Your last answer was…

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Q: 4. Let the universal set U, and the subsets of U are A = {x|x is a letter of your first name}, B =…

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

Q: The particular solution (yp) of the equation y" − 3y' + 2y = 5 e* is yp = -5xex False True

A: Explanation of the answer is as follows

Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: ODE. Find the general solution of the following. Show complete solution v/x 3. (x + ye )dx-xe dy = 0…

A: Identify the differential equation and solve it

Q: Find dy/dx if xy+2x+3y=1

A: Find dy/dx  if xy+2x+3y=1

Q: State the order of the given ordinary differential equation. t7y(5) t4y" + 5y = 0 Determine whether…

A: As both questions are not part of same question so as per policy only first question is answered.…

Q: Eliminate the parameter t to find a Cartesian equation in the form z = f(y) for: [z(t) = 3t² y(t) =…

A: We can express x in terms in terms of y as below.

Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: True O False ܡܢ 6 edx

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Q: Find the vector projection of OA = (4, 3) on OB = (4, −1).

A: This is a basic vector problem

Q: What is the difference between quadratic and logarithm functions? a. The effect of x on y never…

A: Concept: Polynomial function: A polynomial function with one or more variables, where the largest…

Q: b.) Draw the projection on a xz plane Show solution for the equation 4 اس -2 7 z 3 2 0 -2 1 2 c.)…

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Q: Example 5-34: For each of the density functions of a continuous random variable X shown below, find…

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Q: An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of wheat requires…

A: Given that : An economy depends on two basic​ products, wheat and oil. To produce 1 metric ton of…

Q: C. (Differential Equations with Homogenous Coefficients) Find the general (or particular) solution…

A: The given differential equations are;  1)(6x2-7y2)dx-14xydy=0 2)(x+ey/x)dx-xey/xdy=0 , y(1)=0.

Q: The vectors a and bare unit vectors such that a a+b and 2a +jb are perpendicular. --Determine the…

A: The given vectors a→ and b→ are unit vectors such that a→.b→=12.Given: a→+b→ and 2a→+jb→ are…

Q: If f(x, y) = cos(2x) - x² e5y + 3y², then fxy = -10x e5y True False O

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Q: Find the area between the curve on the given interval  y= x^3 , y= x^2-1, 1 < x < 3

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Q: - If f(x, y) = cos(2x) − x² e5y + 3y², then fxy = -10x e5y True O False O

A: A detailed solution is given below.

Q: If A is square matrix of order 3 such that|3 A| = 54. Find |A|

A: Using the properties of determinants