Use logarithmic differentiation to find the derivative of the function y = xsin x dy dx Arrange the following expressions in correct order to complete the solution.

Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = (2x + y)i + xj;…

A: Fx,y=2x+yi+xj

Q: 12 cos√(√x+4 dx

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Q: With regard to composition of relations, If S and R are both anti-reflexive, then  s∘r is…

A: S&R both are anti- reflexive. Therefore There is no common elements in theses two sets.

Q: Put the equation x^(2)-4x+2y+10=0 into the standard form

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Q: In 1980 the population of a city was growing exponentially according to the equation p(t)=1000e02…

A: In 1980, the population of a city was growing exponentially according to the equation…

Q: The figure below shows f.  If F′=f and F(0)=0, find F(b) for b=1, 2, 3, 4, 5, 6, and fill these…

A: The graph of f is  And, F'=fF0=0 It is known that, ∫abfdx=Fb-Fa ∫abfdx=Area under the graph of f…

Q: Find the тся value of the function f (x₁y) = x+2y subject to the constraint x² + y² = 3 using…

A: We want to maximize the function f(x,y) = x+2y subject to the constraint x² + y² = 3. Using Lagrange…

Q: А b C с = a = 17 12,2° 24 - В

A: The figure of the triangle is given by To determine: The value of b Formula Used: b = a2+c2-2ac…

Q: Find the integration factor of (3 xy +64²) dx + (2x²gxy) dy zo

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Q: Use L'Hôpital's rule 4. lim x csc x x→0

A: limx→0xcscx

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

A: As per as our guidelines i can answer only one question please repost remaining questions.

Q: Find the length of the graph of y = f(x) where f(x) = - and a 2, correct to two decimal places.…

A: To find the arc length of the graph of y=fx where fx=x2+2323 between x=1 and x=2, correct to two…

Q: b a = 12.2° c = 24 17 B

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Q: Q5. Find the integrating factor of the differential equation.< (cos³x)y dy dx tan ¹(sin x + cosec x)…

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Q: Prove that the linear function f(x) = ax+b is continuous.

A: To prove that the given linear function is continuous.

Q: A. x² = 2(y + 4) C. (y-2)² = 2(x + 4) A B O D B. x² = 8(y) D. y² = 8(x)

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Q: 700 (p+9) For the demand function q=D(p) = a) The elasticity b) The elasticity at p= 8, stating…

A: given q=D(p)=700(p+9)5

Q: A culture of bacteria begins with 1000 individuals and grows by 15% every hour. Which of the…

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Q: Find the amount accumulated FV in the given annuity account. (Assume end-of-period deposits and…

A: We have to find the future value so we will use formula of FV.

Q: Perform the indicated operation and write the answer in the form of a + bi. (6+5)) - 10i O O 6-5i O…

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Q: The velocity of a particle moving along the x-axis is given by v (t) = et-1-1. Which of the…

A: vt =et-1 -1

Q: 4) f(x) = 2x² −ex + 2xe*

A: F(x)=2x2 -e-x +2xex

Q: A golf ball is hit horizontally at 55m/s from the top of a hill that is 3m high. If the terrain…

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Q: Using polar coordinates, evaluate the integral ff sin(x² + y²) dA, where R is the region 16 ≤ x² +…

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Q: Estimate the area under the curve y= -1/4 x^4 + 5/3 x^3 - 2x^2 + 5 on the interval [-1,6] with M5…

A: I have appended the formula used in the solution part of the question.

Q: Use a computer algebra system (CAS) to evaluate the following integral. dx √2² x² + 6x + 73

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Q: Perform the indicated operation and write the answer in the form of a +bi. (3+)-(4-5) O -1+6/ O 1+6i…

A: (3+i)-(4-5i)

Q: Given that f(x) = 4x2 and g(x) = 6 - x², calculate (a) f(g(0))- (b) g(f(0))-

A: The composition of the function f(x) and g(x) are: f(g(x)) and g(f(x))

Q: dy Solve the differential equation dx x 36y a. Find an implicit solution and put your answer in the…

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Q: Solve the initial value problem, given that y₁ satisfies the complementary equation (x + 1)² y" -…

A: .

Q: a b 1 12. Use matrix multiplication to confirm that the inverse of the matrix A = where we assume…

A: By using matrix multiplication to confirm that the inverse of the matrix A=abcd  is A-1=1ad-bcd-b-ca…

Q: We have already introduced the symbols -p (for negation "not p") and pVq (for disjunction "either p…

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Q: 5x+1 dx 2x²-x-1

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Q: Consider the equation y=x^3-16x^2+2x-4 a. Determine all intervals over which the graph is concave…

A: For a function y = f( x ) For concave up f''( x ) &gt; 0 For concave down f''( x ) &lt; 0  Given…

Q: Use synthetic division to divide 5x2-25x-3. The last row of synthetic division is: X-4

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Q: Consider the equation . y=x^2 -6x+3 a. Find all critical points for the graph. b. Determine all…

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Q: Consider the curve defined by the following parametric equations: x = 5t+e³t, y = 3t - est (a) Find…

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Q: 3. A) 6 O A Given: (y + 5)² = -24(x + 7); how long is the latus rectum? O D B) 12 C) 24 D) 48

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Q: dy Find and dx dy dx d²y dx² || dx² x = t² + 5, y = et - 5 et d²y 2t et - et 27³ Find the values of…

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Q: Find an orthogonal matrix A where the first row is a multiple of (0, -3, 1).

A: Find an orthogonal matrix A where the first row is a multiple of 0,-3,1

Q: 4. Name three different pairs of polar coordinates that also name the point, (-1,-), if- 2π ≤ 0 ≤ 2.

A: To convert from polar coordinates (r, θ) to Cartesian coordinates (x, y), use the following…

Q: 7) f(x) = In x² 3x+4

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Q: Evaluate the indefinite integral: [ (8e¹ + 4 sec² u) du = FI + C.

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Q: In Exercises 45-46, we demonstrate that, in general, you antiderivative of a product of functions by…

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Q: Given the following vector field and oriented curve C, evaluate SF.T ds. с F = (y,x) on the line…

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Q: The Second Gate You arrive at the gate that holds the spaceship. Your computer translates the…

A: fx = 8x + 1413x

Q: Use L'Hôpital's rule 1. lim x →+∞ sin -18 X 2 X

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Q: 2. Use the Fundamental Theorem of Calculus to find: (a) (b) (c) cx³ de fort+3* cos²¹(y) dy. dx d dx…

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Q: Perform the indicated operation and write the answer in the form of a +bi. (5+3)-7i O -7+81 O-2+3i O…

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Q: A. Calculate Jovit 1+ 3x2 - 4y ds where C is the curve x = t, y = t²/2, 0≤ t ≤ 2.

A: Since you have asked multiple questions in a single request so we will be answering only first…