Find the equation of tangent line for the curve f(x)=e³x at coordinate (0,1).

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Q: The temperature of a patient t hours after taking a fever reducing medicine is T(t) = 98 + 8/√t…

A: Here i have find the answer upto 4 decimal place.

Q: Maximize B=2xy2, where x and y are positive numbers such that x+y2=10. The maximum value of B is…

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Q: Question 1 a) [ the vectors U₁ = U₂ = Find the value(s) of y such that and are parallel. b) [ ]…

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Q: True or False: Suppose e is constant. Then is equal to 12e. Select one: O True O False 6 -6 edx

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Q: Express the equation in logarithmic form: (a) ex = 5 is equivalent to In A = B. Then A = and B = 3…

A: To express the equation in logarithmic form:a ex=5 is equivalent to ln A=B. Then A=?and B=?b e3=x is…

Q: For any two nonparallel vectors a and b, it holds that Select one: |3a + b > 3|a| + |b| 13a + b <…

A: Use vector triangle inequality

Q: Two functions fand g are defined in the figure below. (a) ∞ Domain of f (b) Range of f 7 9 Domain of…

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Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: a.) S (t² – 9) (4 – t²) dt from 2 to 3 b.) fx dx from 1 to 2 c.) f (x² - d.) f sin 0 de from 0 to…

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Q: 11. Use the comparison test to determine whether 8 k=1 2k 4k + 5 converges.

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: The value of the definite integral is Select one: 0 0 O 2/11 O-1/11 O none of the others O 1/11…

A: We have to solve above integral

Q: Use the nth term test to show that the series is divergent, or state that the test is inconclusive n…

A: We have to use the nth term test to show that the series is divergent, or state that the test is…

Q: Question 2: A) Verify that y = c₁e-x + c₂e5x is a solution of the DE: y" - 4y - 5y = 0. B) Find a…

A: Topic = Differential equation

Q: Evaluate the following definite integral. 1 18 18 -9 Find the partial fraction decomposition of the…

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Q: The Taylor series for f(x) = x³ at 4 is Σ cn(x − 4)". n=0 Find the first few coefficients. CO C1 =…

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Q: can you please write it clearly for better un

A: To convert the polar coordinate 5, π4 to Cartesian coordinates.

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx 2.2 dy dx −y=ex/2 159

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Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

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Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: equilibrium point, and (c) the producer surplus at the equilibrium point. 7 1 -x+ 27, S(x) = x+3 10…

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Q: What interest rate was applied if a loan of ₱54,300 will amount to ₱83,000 after 2 years and 6…

A: NOTE: Refresh your page if you can't see any equations. . here we have P=54300 A=83000 t=2 years and…

Q: 3 5 3-x - dx

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Q: Solve the system of equations by any method. -2x + 5y = −35 7x + 2y = 25 Enter the exact answer as…

A: We use the elimination method to solve the given system of equations.

Q: Evaluate 4 2 4 X 13.402 -13.402 13.042 √x + 3 3 X 4 - 4 + 4 + 1 + x)\dx = None of them -13.420…

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Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: The lateral area of a right circular cone of radius 4 cm is 100.53 sq. cm. Determine the slant…

A: Recall that the lateral area of a right circular cone having radius r andslant height is πrL.

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

Q: Evaluate tan(2x + 5)dx 0.0190 0.9899 0.0976 -0.0190 0.0967 0.00190 0.0109 0.9998 -0.0976 -0.8999…

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Q: Prove that 2 Sin X dx 1 + cotx + cos x It tan X cos 2 x

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Q: Determine the area of the shaded region. 70. 15 4+ 3+ 2- 1 이 12x - x2 2 becodelating onesyde, −12 +…

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Q: 3x 2. y = Ae³x cos x+Be³x sinx

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Q: A rectangle is to be inscribed in a semicircle of radius 7 cm as shown in the figure below.…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by curves (y =secx and y=cos…

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Q: General solution of the differential equation 1-3xy X X X 11 2y 1 2y + 이름 4yy 1 4v ① -) (c) -음

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Q: Consider the following functions. f₁(x) = 9, f₂(x) = cos2(x), f(x) = sin²(x) g(x) = C₁f₁(x) +…

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Q: Solve the triangle, if possible. a = 26.38 km, b= 21.64 km, c = 18.31 km Select the correct choice…

A: Given problem:- Solve the triangle, if possible.   a = 26.38km , b = 21.64km , c = 18.31km

Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Consider the point P(-2, 1, 4) and the vectors Question 2 a = and b =. (a) Find the unit vector u…

A: This question can be solved using the concept of three dimensional geometry.

Q: IF Y=√√√xx-√√x²+√√2x³ 3 Find dy dx

A: Since you have asked multiple questions, as per our guidelines we are supposed to answer only one…

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: i) Determine the following information for each rational function: -domain -x and y intercepts -…

A: According to the question, we can answer only first question and rest can be reposted.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: Evaluate the limit using L'Hospital's rule 1 lim 6xe - 6x x →

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Q: Consider the double integral f(x,y)=(x²+y²)3/2 over the region R where y is bounded between 0 and…

A: Solution

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: Given problem:- find the derivative of the function g(x, y, z) = 3ex cos(yz) ,at the point P0(0,0,0)…

Q: -1-y 3) Evaluate the integral dxdzdy? 0

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