Question Evaluate the following limit using L'Hospital's rule. 1 3 lim z-0 1lez – 11 33x Provide an exact answer. Provide your answer below: 3 lim X > 0 1le – 11 33x

Q: Find g(x)= -x2+ 5x - 2 when g1(2)

A: First calculate g'(x) then put x = 2.

Q: CAn equation of the plane through the point (2, 5, 7) that is parallel to the line 7 (t) = 3î + 2ĵ -...

A: Given problem:-  Find an equation of the plane through the point (2, 5, 7) that is parallel to the l...

Q: Find the domain of the vector function r(t)=⟨ln⁡(19t),sqrt(t+8),1/sqrt(7−t)⟩ using interval notatio...

A: Given vector function isrt=ln19t,t+8,17-tfind the domain.

Q: Find the domain and range Vx+1 1- y = 7 х-1 2 - y

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Q: solve the second order differential equation ; y''+4y'+5y=8xsinx

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Q: III. Use the nth-Term Test for divergence to show that 00 n +10 n=1 is divergent, or state that the ...

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Q: If the solution of y' = cos x - y sec x passes through the point (0,1), determine y when x = TT radi...

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Q: 23T Does the angle 45 have a compliment? If so, what is its compliment. If not, explain why. Show al...

A: We can find the complement as below.

Q: 11-18 Find the solution of the differential equation that satisfies the given initial condition. 12....

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

Q: dP 16. dt 11-18 Find the solution of the differential equation that satisfies |Pt, P(1) = 2 7.3: 16 ...

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Q: 2x+5 교-4x+6

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Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

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Q: (x-y)dx+(x-y+2)dy=0,Solve For Homogeneous DE

A: Given differential equation is (x-y)dx+(x-y+2)dy=0 Solve homogeneous DE

Q: (0–4)de 2. (6+5)

A: Given that: ∫(θ-4)(θ+5)2dθ

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: Approximate 4   2 1 ln(x) dx using the midpoint rule with four subdivisions to four decimal places

A: Given: a = 2  b = 4   n = 4  f(x) = 1/ln(x) 

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2) =-1; f(3) =-3 Relatio...

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Q: C. Assessment/Application/Outputs (Please refer to DepEd Order No. 31, s. 2020) Direction: Solve the...

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Q: 4х + 3 dx x2 +1

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Q: V6 - 5x , x > -1 Determine lim x-2 wheref ( x %3D 2x2 - 5x , x < -1

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Q: 1. For the function g(t) whose graph is given below, state the value of each, if it exists. If it do...

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Q: Determine the general solution for the given higher order differential equation. dz (D² + 16)³(D² + ...

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Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: 30. 7/3 tan'x sec'x dx

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Q: sin? x 1- 1-cos x =-COS X

A: Here we have to use the basic trigonometric identity sin2θ+cos2θ =1 and we know that  a2-b2= (a+b)(a...

Q: A pyramid of height 500 ft has a square base 800 ft by 800 ft. Find the area ? at height ℎ....

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Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: ΤATΕMΕΝTS . The sequence converges to zero; The sequence diverges to positive infinity: . The sequen...

A: Since we are given with the multiple number of question answered according to than guideline.

Q: Suppose the sales tax rate of Pagadian City is 7% of the purchase price. If the price of the digital...

A: Topic:- parsentage   

Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

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Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

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Q: A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of...

A:

Q: B Given that V · W = 4, V x w = ,V] = 10and |W = 8. The exact numerical value value of 2V (3V-2W) is...

A: We need to find b,c,d,e.

Q: Write out the first five terms of the sequence with, 19 00 n determine whether the n=l' sequence con...

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Q: Sex sin x dx

A: Solving the problem by doing the integration.

Q: Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and t...

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Q: regions between the given curve and y= 1 ,y=1, and y=4 1+y 134 X= 2

A: Given: - The curve is, x=11+y2, y=1 and y=4 and y=0 around the x-axis. To find: -The volume generate...

Q: f y=x^5, then y’=

A: FOLLOW THE PROCEDURE GIVEN BELOW.

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: dx Evaluate – 12x - 12x dx 12x - 12x

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Q: D Find a singular saluhion of DE: %3D

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Q: f A is 3 × 3 and det(2A-1) = -3 = det(A³(B¯1)"), find det B. 32 a) 을 (b)을 (e) (d) (e)을 83 34 23 83 (...

A: Topic:- matrix algebra

Q: Find an equation of the plane perpendicular to the line through (2, 2, –4) and (7, –1,3) and contain...

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Q: Find the integral. e4X cos 3x dx + C

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Q: (+e*)dx e* -In () 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: 12. The volume of a spherical cancerous tumour is given by the function V(r) = {ar³, where r is the ...

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Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

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Q: 1. Using tables of values, determine the limits of the following. (i) lim (x° + 1) x→1 (i) lim(1 – a...

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