1 Solve the equation: 1 x + 3 1/4

Q: (b) If u =x cos y+ye", where x = s+2t and y = st, prove that %3D ди ди 2 (s – 21) (x² siny – xye" – ...

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Q: In Exercises 35-46, find the intervals on which f is concave up or down, the points of inflection, t...

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Q: me pung Find ow and dw for fihe folloing fune W=メboi (xャロ) %3D メ+リ

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Q: Consider the function f (x) = 3x – 6|. -

A: Given problem:- f(x) =|3x-6|  To find:- How is differentiability related to limits Rewrite f (x) as...

Q: by’dx -x(2x° + y)dy - 0 ; y(1)=1 2.

A: Make this equation first linear then solve by finding integrating factor

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: ∑k=1+∞181k2+63k-8f(x)=181x2+63x-8Use integral testlima→∞(∫1a181x2+63x-8dx)lima→∞(∫1a1(9x)2+(2×9×72)x...

Q: Find the lengths of the unknown sides in the right triangle.

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Q: Let f(x) = x (x² + 2)° and calculate S(x) dx by using integration by substitution. What was your sub...

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Q: Use periodicity to first rewrite each expression as the same trigonometric function of an angle in [...

A: Given: sin9π4

Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

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Q: The half-life, T, for a particular radioactive element is 15 min Find the decay rate of the element ...

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Q: Evaluate the expression. [18 + (-6)](-2) O A. 6 3. О в. Ос. 30 D. -6

A: We know that the BODMAS operation; Bracket  or → order  or x2.. →Division ÷ → Multiplication × → Add...

Q: Let z be a function of x and y defined implicitly from the equation 9ye" - 5 cos(y+ z – 1) = 7x – 12...

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Q: Let f(x) = and calculate x(In(x)) f(x) dx by using integration by substitution. What was your substi...

A: Given that: f(x)=1x(lnx)6

Q: Using the ratio of successive terms, what can you conclude on the given sequence increasing decreasi...

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Q: we will use the notations A, B, and C to denote the angular measure of the interior angles of the tr...

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Q: -3x3 dx V5-x8

A: In order to solve the integration ∫-3x3(5-x8)dx,  Let us assume t=x45

Q: sinh? 2x dx 3sinh? 2xdx

A: Given ∫-3 sinh3(2x) dx ⇒∫-3 sinh3(2x) dx⇒-3∫sinh3(2x) dx Now solving ∫sinh3(2x) dx substitute u=2x→d...

Q: (x+1)dy = (2xe* – xy – 2y)dx

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Q: Explain why the integral ex* dx is convergent.

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Q: A triangular lot, where all its three sides have the same length, is to contain a triangular buildin...

A: The figure is shown below: △ABC represents triangular lot.△DEF represents traingular building

Q: Find the equations of the tangent line and normal line to the given curve at the specified point. y ...

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Q: (-1)"n For positive integer n, let an = 3" (a) Determine whether the sequence {an} is convergent.

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Q: .3 dx S (x4+ 16)' 2

A: This question is based on indefinite integral.

Q: c) h(p,g,0) = psin@cose ah sin@cos0 ; ah = pcos@cose answer: - %3D ah =-p sinøsin0 d) W(P,V,8,v.g)= ...

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Q: Let f(x) = x' cos ( x-) and calculate ed S(x) dx by using integration by substitution. What was your...

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Q: Solve in linear equation or bernoulli (2x+3)y'= y+y²(2x+3)^½

A: 2x+3dydx =y+y22x+312

Q: x+ 4x2-9x-36 y = 4x2+28х+48

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Q: For the following two vectors, (a) calculate their dot product, and (b) find the angle 0 between the...

A: We have to calculate dot products and find angle

Q: 3, use the separatibn of Variables and solve the following equatibn %3D

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Q: Find the equation(s) of the tangent line(s) at the point(s) on the graph of the equation y-xy-12=0, ...

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Q: If a Vector has a contonr and touo events. and sets an angle of 45 degreess then its Components are ...

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Q: (カナ) 2.

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Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: fit) 구 4- -jo -9 -8 -7 -6 5 4 3 -2 -1 8 9 10 -8 -9 Estimate lim f(t) t→ - 2

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Q: Given the function g(x)=−2cos x, calculate g′(7π6).

A: Given: gx=-2cosx   We know that, a·f'=a·f', where a is the constant. And The derivative of cosx is; ...

Q: The shadow of a vertical tower is 73.0-ft long when the angle of elevation of the sun is 32.0°. Find...

A: From the given information, we find the height of the tower

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

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Q: SITUATION A. For the given DE, (xy+.x- 2y +3)dx +2(x*y – 2x- 2y)dy = 0 1. Solve for the partial of f...

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Q: Question 3 (a) Show that the limit łycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

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Q: Use the appropriate reciprocal identity to find the exact value of sec 0 for the given value of cos ...

A: NOTE: Refresh your page if you can't see any equations. .

Q: Please do numbers 3 and 5

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Q: In Exercises 27-30, form a function z = f(x, y) such that fx and fy match those given. 27. fx = sin ...

A: We know,  f(x,y)= ∫fxdx=∫fydy

Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

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Q: X1 + 3x2 + 5хз + 7x4 3D 8 7x1 + 9x2 + 2хз + 5x4 3D 0 GAUSS-JORDAN ELIMINATION 2. 5x1 + 7x2 + 7x3 + 7...

A: We can rewrite the equations as follows:-    

Q: 1. A particle moves along the x-axis so that its velocity at time tis given by v (t) = t6 –13t4 + 12...

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Q: f[x'+zy2,y²2x2], then prove that [y?-zx] (a?-yz] dy [z-xy] du -o. If

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Q: Assume that a is an angle in standard position whose terminal side contains the point (5, 12). Find ...

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Q: For real number p, let f and g be defined by f(x) =e x and g(x)= 1/x, respectively, on [1,0). P. (a)...

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Q: 구 -8 -6 -5 -4 -3 4 6 -2 -4 -6 -7 -8- lim f(x) = Enter the limit. If the limit is o, enter oo. If the...

A: We have to find limit.