Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx your result by differentiating implicitly. dy

Q: range of the function. (a) If f(x) = 3x + 4, find the image of 4. (b) If f(x) = 7x + 5, find the ima...

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Q: Evaluate: A 4e“+C B +C +C D 4 +C (E) None

A: option D integration

Q: Express the integrand as a sum of partial fractions and evaluate the integral. (Hint: factor the den...

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Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? Vx- [2, +0...

A: f(x) =1/x-2 for make f(x) contineous x-2 >0 and  x-2 is not equal to 0 so x>2 so our answer is...

Q: (a) Plot the first four terms of the sequence 3n? – 3n + 2 n=1

A: We have to plot the first four terms of the given sequence.   According to our guidelines we can sol...

Q: k. Evaluete the given limib

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Q: A-f cos (x)sin³(x)dx e*cosh (3x) В- -dx cosh(x)+sinh(x)

A: ∫cos5xsin3xdx  

Q: Express the given integrand as a sum of partial fractions, then evaluate the integrals. 1 2y +9 dy y...

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Q: F(x) = xe" – 5 ln 7x + 7 is an antiderivative of %3D f(x) = xe² Select one: O True O False

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Q: Let y = - ty + 0.ly and y(0) = 0.77. Use Euler's method to find approximate values of the solution o...

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Q: 5) For p > 1, the root test applied to Ln=1 nº is inconclusive (C). 5.

A: Given

Q: S125 – 2² 18x? Evaluate the integral: -dx 25 – x² (A) Which trig substitution is correct for this in...

A: ∫18x225-x2dx

Q: (a) Find a function that models the populationt years after 2000 (% for 2000). Your answer is P(t) =...

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Q: Calculate the divergence of the vector field F (x, y, z) = –10 sin(2xy)i – cos(x'y)j. (Give an exact...

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Q: )A drug is administered intravenously at a constant rate of r mg/hour and is excreted at a rate prop...

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Q: Determne whether the hamit exitis or not when a)x3 and b) x→ -3 x²-9 when x< -3 F(x)= 9-x² when -3< ...

A: Limit exists if, LHL = RHL Limit does not exist if, LHL≠RHL

Q: Select ALL possible answer/s. * On which of the following intervals is f(x) = continuous? %3D

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Q: As you know, when a course ends, students start to forget the material they have learned. One model ...

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

Q: 4n + 4n + 1 an 2n + 1

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Q: QI/Correct the following items, enhance your answer with a mathematical proof for each item. 1- cosh...

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Q: 2. Consider the power series 1 (-1)*+1 (x-5)" 4nn What is the center ? What is the interval of conve...

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Q: A limestone stalactite grew in length at a rate of – of a millimeter per year. At this rate, how man...

A: Given the limestone is growing at a rate of 18mm per year i.e. 0.125 mm every year

Q: 4. A pizza is brought from the oven at 400 degrees into an 80-degree room. If y(t) is its temperatur...

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Q: B-1 0ンエ a (( F-C)P) 3- Beta= (i-ベ) Calpha %3D Solve for P2

A: Explanation of the answer is as follows

Q: 2- x*y' y + xy' = 1 3D1

A: Given:        -x2y2y'+xy3=1

Q: Simplify: 1+ cos 2x. 2 cot2 x

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Q: According to th an average of 1. Saturdays, whic of time the stuc the Internet on A) Between 3. B) B...

A: The best fit line gives the best estimated expected value of the variable observed from data trends....

Q: Find the arc length of the curve x = –3y3/2 from y = 0 to y = 10. Length =

A: To find the arc-length if the curve x=-3y32 from y=0 to y=10 Now, the formula for the arc-length is:...

Q: Find the differential of the function. et e - 2 dy =

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Q: There are some sweets in a container. When the sweets are put into bags of 4 or 10, there are no swe...

A: topic - lowest common multiple

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f (x, y, z) = 2x + 2...

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Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40

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Q: Find the derivative of the following exponential and logarithmic functions: (i) ecosx-sinx ii. In(3x...

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Q: х-2 Determine lim x→2- 2-V4x-x²°

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Q: Evaluate dw using the given information. 5x? + 4y? w = -; x= - 5, y= 3, z = 1, dx= 0.01, dy = - 0.08...

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Q: 12x2-5x+7 lim x++00 V9x²–7x+13

A: Hello learner, we can answer first question as per the honor policy. Please resubmit other question ...

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x,y) = y² – x² sub...

A: Let's find. 

Q: dx 1+ x2/3

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Q: Evaluate the improper integral or state that it is divergent. (Hint: change to limit then do u-sub) ...

A: The integral is given by I = ∫-∞015x-12dx Formula Used: ∫u-ndu = u-n+1-n+1+C To evaluate: The value ...

Q: -4 The number of tangents to the curve of y=- x³ + 6x? which have a slope of 8 is:

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Q: Find the slope of the tangent line to the curve 3z? – 2xy – 3y3 = 63 at the point (3, – 2).

A: topic - slope of tangent line to curve

Q: E. Discuss the continuity of the function g(x) = on the interval (0,2] and [-1,3]. x2-4

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Q: -7. -5-4 -3-2 -1 \I 2 3 4 5 -2 -4- o ト oゆ!

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Q: Skx², (2x + k, x 2 f(x)

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Q: csc5x cot5x dx A csc 5x B -csc5x 3 -csc5x 3 D csc5x E None

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Q: An object is dropped from a height of 124 feet. t1 = 0, t2 = 2  Find the equation of the secant lin...

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Q: tan(tan3x)dx Evaluate: cos-3x -In |sec (tan3x)| + C (B ® - in [cos(tan3x)| + C © - sin( tan3x)| + c ...

A: We need to evaluate the following integral I = ∫tantan3xcos23xdx                            ...........

Q: ex Evaluate 1 + e A arc sin e^x + C B arc tan e^x+c arc cot e^x +c

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Q: tan(tan3x) dx S cos²3x Evaluate: In [sec (tan3x)| +C A 3. B -In |cos(tan3x)|+c [cos(tan3x)| +C © --I...

A: ∫tan(tan3x)cos2(3x)dx∫sec2(3x)×tan(tan(3x)) dxSubstitute t=tan(3x)dt=3sec2(3x)dxdt3=sec2(3x)dx

Q: Question 57 A scientific sample of radium-2 decayed to 81% of its original amount after 2 years pass...

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