True or false If cosh x = then sinh x=

Q: Find the derivative of sin In x O sin(Inx)/x O cos(Inx)/x O cos(1/x) O sin (1/x)

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Q: Find the value of C so that the function is a density function. f(x) = [Cx¹ if 0≤x≤ 9 10 otherwise

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Q: What substitution should be used to solve the integral O sin u=3x/2 sec u =2x/3 sec u =3x/2 O tan u…

A: We have to solve the integral

Q: Q1: convert the the Integral - (x² + y²)dydx to

A: Use the relation between cartesian coordinates and polar coordinates

Q: In evaluating Add your answer 2 dx is same as evaluating lim cos-¹(f(x)). Determine the value of…

A: Given problem:-

Q: Given than •[²₁f (2) de = 7 and f (a) da = -5, which of the following is NOT TRUE 6 ® [₂ f(x) dx =…

A: We will solve the problem

Q: 4 3. 2 1 -4 -3 -2 -1 2 -1- -2- -3+ 3. From the above graph of y = f(x), find the following limits:…

A: a)2  b) -2  c) -4

Q: 2x - 3 Examine the function f(x):= x²+4 from the point of view of monotonicity and give its local…

A: This question can be solved using the concept of monotonicity and local extrema.

Q: solve this. Find the absolute extrema of f on the given interval. (find the absolute maximum value…

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Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: Q:2. Use the first derivative test to find the intervals on which the function is f(x) = x4. which…

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Q: Write the complex number in polar form with argument between 0 and 2. 5/(1 + i)

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Q: S= x² +2 (x-2)(x²-2x+2) dx U 2-2x 3 (√(√² ²²2²X + 2 + x ²³ 2₂ ) dx X-2 2-2x

A: given ∫x2+2x-2x2-2x+2dx

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin (2x - 6) sin(4x12)…

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Q: iii. lim (1-sin x) tan x x→ I COS cos((x - 1)) iv. lim I-0 r³3r

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Q: Evaluate f(3x +2)dx

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Q: X 3. √ 2x² + 5° * 5dx A. In 2x2 +51 + C A. B. C. ·f sec²x tanx dx A. tan²x + C A. B. C. B. In|2x²…

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Q: Q2/A/ Find the intervals on which the function f(x) = x² - 4x + 3 are increasing and the intervals…

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Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

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Q: In evaluating 2 dx x√√x²-4 is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if…

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Q: 7. fsins y cos' y dy

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Q: 5 dx In evaluating 1 is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.91.…

A: ∫ 351x2-9dx

Q: 1² ax +6 cos(x³) (A) True B) False |dx=0

A: Here, x6cosx3 is an even function. So, ∫-11 x6cosx3dx≠0

Q: S√4t² + 3 dt

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Q: 6. Find the limit, if it exists. If the limit does not exist, explain why. tan 5x sin 6x (a) lim 1-0…

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Q: Problem 3. A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is…

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Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

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Q: Function problem. Check that the following that is harmonic and determine is a harmonic conjugate. y…

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Q: etan 4s | (cos (cos 4s)2 ds

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Q: Consider the power series. $Σ (-3)^(x-2)^. √n+2 n=o 1. Use Limit Comparison Test to show that the…

A: Note: In the second circled part the student has made an typing error by writing 'x' in the…

Q: dx x+y cos x 1tsinx Ans: (1 + sin x)y + x² = c

A:

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A: Velocity of the particle is given by:vt=9sin 3πt

Q: I. Find the sum of the following convergent series. lim = 348 lim lim 846 Σ [tan² (2n-1) - tan²¹…

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Q: Find the length of the curve of y=x³/2 from x=1 to x=4.

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Q: Find the exact solution for e^2x-6e^x-72=0  If there is no solution NA x=___

A: We have to find the exact solution for  e2x-6ex-72=0.

Q: If y=(x-3)² revolved about y axis, find the volume of solid revolution of the curve from y= 3, to…

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Q: Using Simpson's method 2 So dx for n=4 is equal to Blank 1 (use 2 decimal places with proper…

A: As we know from the Simpson's Rule: ∫abfxdx=∆x3fx0+4fx1+2fx2+4fx3+2fx4+...+4fxn-3+2fxn-2+4fxn-1+fxn…

Q: ND THE AREA BOUNDED BY THE = x(x-1)², y-AXIS, AND THE =12

A:

Q: Cynthia's investment of $81,200.00 in a fund matured to $160,353.29 in 7 years. If the interest in…

A: We want to calculate period and nominal interest rate.

Q: Find vertical asymptote, x intercept and y intercept of (x+1)(x-5)/(x-6)

A: Topic = Functions

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: 1. Given: parametric curve H defined by r(t) = tan-¹ t and y(t) = e¹, where t € R (a) Find the slope…

A: Solved below.

Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: = Use the Riemann's Criterion for integrability to show that the function f(x) integrable on [0, b]…

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Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: - y = sin² (3*)

A: We have to find derivative of given function.

Q: Given the function y=f(x), y' is found to be positive over the interval (4,8), then over this…

A: if the first derivative of function is positive, then the function is increasing.

Q: 18) lim xcos X

A: limx→∞xcos1x

Q: aces)

A: We will find the value of the integral

Q: State the domain, vertical asymptote, and end behavior of the function.   g(x)=ln(2x+12)+1.8…

A: Solution is here