If f(x) = e*g(x), where g(0) = 1 and g'(0) = 4, find f '(0). %3D %3D

Q: Find the indicated derivative and simplify. 21x f'(x) for f(x) = x2 - 2 f'(x) =

A: f(x)=21x3x2-2 Note:   Multiple questions are given we are answer with only one question.

Q: the integral F(®) = cos*(0) + sin(20) – 3 cos(0) COS do sin (0) +3 cos2(0) + 2 sin(0) – 3

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Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.  

Q: given f (z) = (z + 1)° – 32' what is the value of u (금, )

A: Topic:- complex number

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A: Variable separable differential equation

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Q: Find the following using the table below. 1 3 4 f(r) 1 4 3

A: Given that:                      

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Q: -2 -1 1 2 f(x) 1.5 3 6 12 24 g(x) 1 9 f(x) = g(x) =

A: Given query is to find the the exponential function from the table.

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Q: The function f(x, y) = 4 corresponds to x² + y² plot [ Select ]

A: Given that: f(x, y)=4x2+y2

Q: 7 Consider the function f(x) 10 Let F(x) be the antiderivative of f(æ) with F(1) = 0. Then F(x) =

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Q: Let f(x) = -3x° + 8x – 5 Use the limit definition of the derivative to calculate the derivative of f...

A: The given function,  f(x)=-3x3+8x-5

Q: Given f(x) = 250 e 0.04x solve f'(x) = 100. %3D X = (Round answer to nearest tenth.)

A: Given that: f(x)=250e0.04x

Q: Evaluate the following indefinite integral. dt = +C

A: topic - indefinite integral

Q: 8 sin() Σ n2 mstl n=1

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Q: Evaluate the integral (@) = / cos (0) + sin(20) – 3 cos(0) sin (0) + 3 cos2(0) + 2 sin(0) COS de 3 H...

A: Evaluate the integral 

Q: Write the equation in equivalent exponential form. log 256 The equivalent exponential form is. (Type...

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Q: Find the derivative of the function using the definition of derivative. 1- 2t G(t) = 3 +t G'(t) = St...

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Q: Find the limit: 1+y² In lim (x,y)→(1,0) l22+xy/

A: Topic:- limits 

Q: Use the logarithm identities to obtain the missing quantity. 2 log,(p) – 4 log,9) – 3 log,(r) = log,

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Q: The curve x' + y° = 3xy was first discussed in 1638 by the French philosopher-mathematician René Des...

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Q: Find the indicated derivative or integral a. D, (3** * ) c. D, log,, (x³ +9) –3x а. D, b. |x 2* dx d...

A: We know that Dx ax = ax·ln(a) Dx af(x) = af(x)·ln(a)·f'(x)   ∫ax dx = axln(a)+C   Dx loga x = 1x·ln(...

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is  a type of discontinuity where one sided or both sided limit go towards in...

Q: parallel

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Q: QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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Q: Suppose that the weekly sales volume y (in thousands of units sold) depends on the price per unit (i...

A: We can answer both the question as below

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Q: Answer the following True or False: Since the chain and product rules give: d f(r) da g(x) d. f(x)(g...

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Q: Solve for x in terms of k. log, a + log,(x + 5) = k. x = Find x if k = 10.

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Q: Which of the following is/are signified by lim f(T) = co? OAs T approaches a, the value of f(x) incr...

A: limit of f(x) as x approaches a is infinity signifies the following- 

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A: Given: 16)  tan-1-1

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A: Given that: ∫0π2∫0π(x2cosy-sinx)dxdy

Q: Find the indicated derivative and simplify. 21 x f'(x) for f(x) = x2 - 2

A: solution:-f(x)=21x3x2-2using Quotient Rule;ddxg(x)h(x)=h(x)g'(x)-g(x)h'(x)h(x)2and power rule;ddxxn=...

Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: sin z Differentiate y / =

A: Given that: y=sinxx6

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Q: cos4 cos* x

A: Follow the procedure given below.

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Q: Consider the equation below. Operati x² + 9y – 9z² = 0 Functic Symbo Reduce the equation to one of t...

A: Given equation x^2+9y-9z^2=0

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

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Q: Prove that lim x² cos(1/x²) = 0. x→0

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Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

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Q: cos (a + 8) y= dy Find da dy Immum dx Type sin(x) for sin(x), cos(x) for cos(r), and so on. Use x^2 ...

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