sin³ x + cos²x sinx = 2

Q: 6) Show that (2xy, 2yz + is conservative.

A:

Q: Consider the following information. lim f (x) IIC lim g(x) IC (a) (b) (c) 6 Use the information to…

A: To evaluate the given limits of function

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A: SOLUTION-

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A:

Q: The Cartesian coordinates of a point are given. (a) (6, -6) (i) Find polar coordinates (r, e) of the…

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Q: Use logarithmic differentiation to find dy/dx. (x + 1)(x-2) (x - 1)(x + 2) dx || y = X > 2

A:

Q: If a principle of $4000 is invested at an interest rate of 6%, how many years will it be until the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: v = {3,k,-2} and w = {-2,1,2k} What value(s) of k are the vectors v and w perpendicular?

A: To determine the value of k for which the vectors v and w are perpendicular.v=3, k, -2 and w=-2, 1,…

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A:

Q: Find the indicated element of the given matrix. 1 13 206 -3 8 106 0 19 b23 = B

A:

Q: Let f(x) 0 = c-8 Oc==3 Oc=2/20 Oc-4/ 11 2xc + 1 C + 3x 3 ▸ Determine the value of c so that x = 9 is…

A:

Q: Using Laplace transform to solve the IVP: y" - 7y=e5t, y(0) = 0, y'(0) = 0, then, we have Select…

A: We know, L{y"}=s²L{y}-sy(0)-y'(0) L{y'}=sL{y}-y(0) L{eat}=1/(s-a)

Q: 22) Determine the value of f(t)dt given that £15 f(t)dt = -10 and 5,5 f(t)dt = 9.

A:

Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

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Q: Find the equation of the line through the y-intercept of y = x²¹ - 9x5 −7+ 9x² and the x-intercept…

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Q: Vector v is shown in the graph. पं احبه N T > 51 a 3 0 -1 N do O ||v|| = 9.220; e = 54.462° 2 Which…

A: To determine the magnitude and direction of given vector.

Q: 31. dy If x³ - 2xy + 2y³ = 4 then, in terms of x and y, dx

A:

Q: Suppose a linear function has a vertical intercept at y = -9 and a horizontal intercept at x = 15.…

A: Linear equation

Q: Question 1 ( (a) ) ) For the function (b) ( transform 3 f(t) use the definition of the Laplace…

A: Given function is (a) f(t)=30≤t<2e2tt≥2and (b) L-13(s+5)(s-2)

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A:

Q: Match the following functions with the general shape of their graphs. Functions f(x) = ln (x + 2) -…

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Q: Differentiate the function. F(t) = tº + e⁹ F'(t) =

A: Here is the solution:

Q: Find the area of the region bounded by the graphs of the equations. f(x)=sin(2x), g(x) = cos(x), -…

A: Please see the below picture for detailed solution.

Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

A:

Q: 11. -log/2x+3

A: To graph the given function. To state the domain and range. To identify the parent function and to…

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

Q: Find the dimensions of the largest rectangle that can be inscribed in a circle of radius r.

A: Answer in step 2.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: Please see the below picture for detailed solution.

Q: Determine the exact value of the following expression. tan 137) 8

A:

Q: Would you use the dividing out technique or the rationalizing technique to find the limit of the…

A: see below the aanswer and explanation

Q: 3) dx xinx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

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A: Domain of a function y=f(x) is the set of values of x for which f(x) is defined.

Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Determine whether the series given by Σ±% (-3) k+1 (-3)*+¹

A:

Q: Use Stokes' Theorem to evaluate SF. ds, where F(x, y, z) = (-xy, -xz, -yz) and C is the triangle…

A: Given that , Fx,y,z=-xy , -xz , -yz and C is the triangle with vertices 0,1,0 , 0,1,5 , 3,1,0…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.01 cm/min.…

A:

Q: 2) Consider the function: f(t) = 0, e-kt, 0 < t < 1 1 ≤t. A) Use the definition to find F(s) =…

A:

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: A firefly is flying along the path defined by r(t) = 20. At hat point(s) along the firefly's path…

A: Given position vector r( t ) = { t2 , 5-t2 , t3 } r( t ) = t2i + ( 5-t2 )j + t3kas we know that a( t…

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A:

Q: Use the power series method to solve the given initial-value problem. (Enter the first four nonzero…

A: The given initial value problem:x+1y''-2-xy'+y=0 ; y0=8 ; y'0=-1

Q: enclosed

A:

Q: Find the slope of the function's graph at the given point. Then find an equation for the line…

A: Given query is to find the slope and the equation of the tangent.

Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

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Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4+1-4 3…

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Q: Part b pls

A: