kx +5, g(x) ={ 2 (3x+x², x<-2 If the function x2-2 is continious at x=-2, then find the value of k .

Q: or f (x) = e-*+3, find f'(2.5). %3D

A: Given query is to find indicated derivative.

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Q: Queskon (2): sKelch and ind Range.- り f: (x+2-4 2) fra): 4- Vx-5 Lo -1x +3 +5 u) frag= 2-15+x

A: Hello learner, we can answer the first question among the asked questions as per the honor policy. P...

Q: 3. For h(x) = (2x+3)2 find h' (1). (3-x)4

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Q: I+1 5. h(z) at r 1 22-1 6. g(r) Vr-3 at r 4 7. g(r) = at r 8 %3D 8. g(r) = at z 0

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Q: how would you, using a limit def. of a derivative at a point find f'(-1) for the function f(x). = 3-...

A: Hint:

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Q: az az and as Use the chain rule to find at (=) Z = tan V u = 8s + 5t, v = 5s – 8t az as az at

A: Topic:- derivatives

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A: Given query is to apply ratio test.  

Q: Resources Let f(x, y) = In(x) + In(y), r(1) = (cos(t), t). Use the Chain Rule to calculate 4f (r(t))...

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Q: Só x*(2 + x*)dx = 5/8 O 7/8 О 18 O 3/8

A: To evaluate the value of the given definite integral. Note that: ∫xndx=xn+1n+1+C  (C is an integrati...

Q: Use a linear approximation of f(x)=cos(x) at x=5π6 to approximate cos(149∘). Give your answer round...

A: Here we have to use linear approximation formula. 

Q: In a local art museum, a moving spotlight projects geometric figures on the wall in front of it. The...

A:

Q: Give two Partial Variation example problems and their solutions.

A: It is required to give  two Partial Variation example problems and their solutions. It is known that...

Q: Find the domain and range of the function h(x, y) = 3\/3y – 12x². %3D

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Q: Consider the following. f(x) = x* - 4x3 + 4x² Find f'(x). f'(x) = Compare the graphs of f and f' and...

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Q: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another ...

A: A state patrol officer saw a car start from rest at a highway on-ramp. She radioed ahead to another ...

Q: Suppose you know the following: f( – 3) = 4 f'(- 3) = 5 • f'(x) is continuous for all a Find the fol...

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Q: P = (3,7, 3) Q=(9,1,8) Find M, the midpoint of PQ: %3D

A: P=3, 7, 3Q=9, 1, 8To find M, the midpoint of PQ.M=?  

Q: 2. For g(x) = cos³ (2x - 1), find g' (#). %3D –

A: topic - derivative of a function

Q: ||v|| = 1 %3D ||w|| = 5 %3D The angle between v and w is 1 radians. Given this information, calculat...

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Q: Use the Divergence Theorem to evaluate the following integral and find the outward flux of F through...

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Q: Find the linear approximation of f(x)=sin(x) at x=2π3 and use it to approximate sin(121∘). Give you...

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Q: Give two other polar coordinate representations of the point, one with r 0. (r, 0) = ( 3, – 2.14 X ...

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Q: Find dy/dæ in terms of t if x = te', y = -2t – 2e dy/dx = %3D

A: topic =derivative

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Q: Evaluate log, 99

A: I am attaching image so that you understand each and every step.

Q: Find the first five terms of the sequence of partial sums. (Round your answers to four decimal place...

A: Note: Since you have posted multiple questions we will solve the first question for you. If you want...

Q: FIND THE LIMIT USING SQUEEZE THEOREM. SHOW SOLUTIONS. sin x limy→o\

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Q: Find the angle between the two given vectors. u = (1, –4, 1), v = (0, 2, –2)

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Q: 3x=3y in polar form

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Q: Find the unit vector ey, where v = (9,0,7). (Give your answer using component form. Express numbers ...

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Q: 3. Consider the function f (x) = 2 x + 1 on the interval [2, 6]. (a) Compute the left-endpoint appro...

A: Solve the following

Q: how much should you put in an investmenr paying a simple loan of 5% if you needed $4000 in eighteen ...

A: According to question,Given data,Rate of Interestr = 5%Simple interest = $4000Time = 18 Months

Q: Queskon (2): skKctch and ind Range.- 2) frx)= 4-Vx-5 ) fon= (x +2) -4 fox)= -Ix +3 +5 u) froys 2-V5+...

A:

Q: + 9u, +18u =0:

A: Differential equation

Q: Find by implicit differentiation. dx sin(x? + y?) = xe" – 2r cos(x² + y²) 2y cos(x² + y²) – e'x xp N...

A: Given query is to find the derivative of the expression.

Q: A plane flies horizontally at an altitude of 5 km and passes directly over a tracking telescope on t...

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Q: Ĵ3xco0s(4–x²)–8xV4-x° dx

A:

Q: b b-a b-a Use the equation f(x)dx= lim 2 fa+k- to evaluate the following definite integral. n→0 k = ...

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

Q: For each differential equation in Problems 1-21, find the general solution by finding the homogeneou...

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Q: 1 dx 1+ 2 sin? x

A: Integral

Q: Directions: Find the limit of the following. 4х-5 3. lim X-3 \5x-1 4. lim (sin x)

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Q: GROWTH OF TABLET AND SMARTPHONE USERS The number of tablets and smartphones in use worldwide (in mil...

A: Given query is to find the rate of change in 2011.

Q: what is the derivative of hcx) at x =D0 where h lx) =2f(6)-2-VFIR) where %3D

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Q: Use the method of variation of parameters to find a particular solution of the given nonhomogeneous ...

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Q: For each differential equation in Problems 1–21, find the general solution by finding the homogeneou...

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Q: fcot(x) dx

A: First written cot(x) into cosine and sine form and then by substitution find the integral.

Q: by implicit differentiation. dx Find 3xeY + ye = 4

A: