Q: 1. Find a result by using variable separation 101 b- y³y+x³=0
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Q: True or False: We have Select one: O True O False 8 So vid 0 √xdx = 12.
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Q: The geometric representation of the equation is a circle in R3. Select one: O True O False -3x²-3y²…
A: Given: -3x2-3y2=-18
Q: Solve using matrices. 5x−y−6z=2 9x+y− z=5 9x+y−5z= 7
A: Here we will solve given system of equations,
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: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…
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Q: Evaluate the following integral using change of coordinates: SR S x³ + xy² dedy where R is the…
A: Solution given below
Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…
A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)
Q: Repeat Exercise 60, except with these derivative boundary conditions: y'(0) = 0, y'(π) = 1. In part…
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Q: Find the indefinite integral using the substitution x = √x√4 + x² dx + C 2 tan(0)
A: SOLUTION-
Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…
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Q: In x dx
A: Solution: Step_1 : ∫ln x dx we will solve it by using integration by parts method.
Q: Let a be a real number. Evaluate the following integral: Sofyx + y dxdy y-1
A: This question is related to double integration, we will solve it using given information.
Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:
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Q: The solution of Yh = e²x (c₁ cos x + C₂ sin x) homogeneous part (yh) of the equation y" - 2y' + 5y =…
A: Let's solve.
Q: 5. Obtain a polynomial P(x) such that f(x) = P₁(x) given the table -1 -3 x₁ f(x₂) -2 -13 1 -1 2 -9 3…
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Q: The population of a city is 89,000. If the population grows continuously by 3.2% per year, in how…
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Q: Solve the given initial-value problem. X (x + y)² dx + (2xy + x² - 2) dy = 0, y(1) = 1 + 6xy²-6y=1
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Q: Using implicit differentiation, find dy dx √xy = − 1 + xy
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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: Matrix has only one row call Row Matrix. multiply a matrix (A) by another matrix (B) if the number…
A: We check the given statements are True or False.
Q: nd the intervals on which f is increasing and the intervals on which it is decreasing. f(x) = -x³-7x…
A: Use derivative for finding the increasing and decreasing interval.
Q: The graph of f-1 is given below. Graph the tangent line to f-1 at the point P(6, 1) for f(x) = -x² +…
A: Let's solve.
Q: The value of the definite integral 3 [²³ is Select one: O -30 (3x² O 45 O 6 O 30 O none of the…
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Q: Given the series: 1 1+ + + 9 27 does this series converge or diverge? diverges converges 00 If the…
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Q: O False
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Q: Ishaan and Rishaan bought some chocolates. One of them bought 9 less chocolates than the other. If…
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Q: The integrating factor for the differential equation (xy³)dx + (x²y² + 1)dy = 0 is y O X O None of…
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Q: 1. C (5,0) =( 5) = 2. C (4,4)=() = 3. C (6,2)=() = Evaluate the following
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Q: Let a be a real number. Evaluate the following integral: So fx + y dxdy
A: We have to evaluate the integral ∫0a∫y-1y+1 x+y dx dy where a is a real number.
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 reverse order of 2 2 1 Jo Jy x 1 sinx cos dxdy is sinx cos dydx False True O
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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…
A: First we need to find the vector and then find the opposite components of it.
Q: Moving to another question will save this response. Question 5 A bacterial culture triples in…
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Q: X Evaluate the integral [sincos dx. X sin cosdx= 5 C
A: The objective of the question is evaluate the indefinite integral.
Q: 1.5(8x³ − 6x² + 12x - - 9)dx
A: Using the formula of integration x^n
Q: Find the general solution of the given differential equation. x²y + x(x + 2)y = ex y(x) = Give the…
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Q: Let à = (1, − 1, — 5) and 6 = ( – 5,0,− 1). Find the projection of b onto a. proj¡ b = >
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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: (1) (x²+2x) dx = (3 - In x²) dy separable exact linear in x linear in y homogeneous Bernoulli in x…
A: As per our norms we have to write one question at a time kindly repost remaining questions.
Q: Find f', f", f"" for f(x) = 3r7-4r5 + 11³.
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Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations:
A: We have to find the value of x, y,z from the given system of equation by the camer's rule.
Q: 3 Find the Maclaurin series of .Write your answer in sigma notation. 1 + x O O O Σ(x)³n n=0 3…
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Q: The Cartesian equation equivalent of polar equation r = 4tane sece is y True False O
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Q: f sin²(x) cos²(x) dx
A: cos(2x) = 1-2sin2(x) = 2cos2(x)-1. ∫cos(ax) dx=1asin(ax)+C ∫xn dx = xn+1n+1+C
Q: Evaluate the following integral: SS², 2*x+yz dadydz
A: Solution given below
Q: Using Homogenous Equations solve in terms of y: (x² + y²) y' xy
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Q: Evaluate the following integral using inversion of order: of a dyda
A: Solution given below
Q: 2xyy' + y² = 2x² separable exact linear in x linear in y homogeneous Bernoulli in x Bernoulli in y…
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Q: The value of the definite integral 2 [₁²³4x² is Select one: O 15 O none of the others O 14 O 16 SO…
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- Express the vector p = (-6,15,-3) as linear combination of the vectors u = (1,-1,3), v = (2,-5,0) and w = (-2,4,-3).Prove that llu - vll >=llull -llvll for all vectors u and v in Rn.Find a non-zero vector that is orthogonal to (-7,6,5). Separate your entries by commas, and don't forget the brackets.
- A turtle starts at the bottom left corner of a garden {point (0,0)} , and moves according to the following vectors :<1,3> <2,-2> <2,5> <3,-4>Indicate the options that contain an orthogonal set of vectors: Enter your answer in ascending order, in case of excess enter a 0.1. What vector points from the origin to the point (4, 3, -1)? 2. Write (-3, 0, 2) as a sum of two vectors: