Find the domain and range of g(x)= In(tanx) on [0,1]. Show some work or explanation.

Q: Find dy/dt. 13) y = (1 + sin 12t)-3

A: Given, y=1+sin 12t-3

Q: Find the derivative: y X Lanx+ 4 COSA x4+ sinx cosx + In 59x

A: Solve the following

Q: Find all the intersection points of polar equations r= √2 + sin(theta) and r= 3sin(theta)

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Q: At what interval is y=3x5 – 5x³ decreasing? C O −11

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Σ COS (2) n = 1 n!…

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Q: (6407 #2 p. 327) Let R denote the region bounded by the parabola y = r² - 3x and the line -4. Setup,…

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Q: Question 10 In the year 2000, the population of a small city was 50,000. The population grows at a…

A: The answer is in step 2.

Q: Let f be the function defined by f(x) = -3x² +1 x - 13 x < 2 x ≥ 2 (a) Evaluate lim f(x), lim f(x),…

A: A function f(x) is said to be continuous at x= a iff limx-&gt;a-f(x)=limx-&gt;a+f(x)=f(a)

Q: Determine the area of the region bounded by y = (x-4)e5x² - - 40x and y = 0 on the interval [0,8].…

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the given…

Q: 11. Find the arc length of the polar curve r = 5 cos 0; 0≤0 ≤ 2.

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Q: 1. (cos 2y-3x²y² ) dx +(cos 2y - 2x sin 2y - 2x³y)dy = 0

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: ・S 21³/2 50. 2:³/2 In x da a

A: Solve the following

Q: Particle P moves along the y-axis so that its position at time t is given by y(t) = 4t² - 5t + 7 for…

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Q: 4 Given the vectors ² = -37+√3 and V = √31-3³, find (a) the dot product = (b) |u²|= ? |V | = ? (c)…

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Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

Q: Find the value of X 56 35 イメー

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

Q: a. Find an equation of the tangent line at x = a b. Use a graphing utility to graph the curve and…

A: Given : for x = 2 , find derivative

Q: The graph below is the function f(x) 5 4

A: From Graph : f(2) = 1limx→2f(x)=2≠f(2) Therefore limit does not existThe function is not continuous…

Q: You have a long piece of metal that is 10 inches wide. You plan to fold along the center line to…

A: Given the red length all together is 10 inches Area of the cross-section =  AA = 12( AB ) ( AC )sinθ

Q: Given vectors u (-1,-3) and v = = (-9, 2), find u - v. Provide your answer below:

A: As we know from the definition of the dot product of the two vectors. If the given vectors are a=a1,…

Q: 1. Given that f(x) = -5x² + 2x - 6, find: f(x+h)-f(x) (a) 4f(x)-f(2) (b)

A: To find the values of given expression using f(x)

Q: Find T, N and B for the curve F(t) = (5 cos(4t), 5 sin(4t), 3t) at the point t = 0 Give your answers…

A: We need to find tangent, normal, binormal vectors.

Q: solution

A: Please refer to the image below

Q: Question 22 Find the average value of f(x) = 8x - 4 from 1 to 5. The average value of f(x) = 8x -…

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Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Determine the limit by sketching an appropriate graph. for x

A:

Q: 6 5 4 3 2 1 779799 -3 -4 2 3 4 5 6 7 8 10 1 The graph above shows the base of an object. Compute the…

A: Solution: The Graph is made with a cylinder and cone.

Q: A projectile is fired in the air from a height of 125 feet. Its velocity (in feet per second) t…

A: As we know that the estimate distance covered by projectile between time a to time b is  hL+R2…

Q: The value of 5 1 x² [³ - dx is

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

Q: Evaluate the indefinite integral as an infinite series J Find the first five non-zero terms of…

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Q: 3. 4. What is the angle in degrees? A. 30° B. 45° What is the complement of 45°? A. 45° B. 55° C.…

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Q: Given that f(x) = 4x² + 5X-9, find f (h-3)-f(-3) h

A: f(x)=4x2+5x-9for f(h-3) put h-3  in f(x)

Q: Answer 20 only

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Q: Suppose that f(x, y) = 2x + 7y and the region D is given by {(x, y) | − 5 ≤ x ≤ 3, -5 ≤ y ≤ 3}. D…

A: To find the double integral value.

Q: 3. Find the area under the parametric curve c(t) = (t³,t²-1) for 1 ≤ t ≤ 5.

A: Use area formula in parametric form

Q: Given f(x, y) = = − xº + 3xy¹ - 5y³, find

A:

Q: A peach grower finds that if he plants 60 trees per acre, each tree will yield 60 bushels of…

A: sol:- let x be the number of trees per acres than number of tress per acre be (60+x) and the yield…

Q: when 36 = 5a 120 = loa 434 = lo b + 3o c + 3ob + 100 c loob +354C + 30a + ving equations by the…

A: Topic:- application of algebra

Q: A curve with polar equation r represents a line. This line has a Cartesian equation of the form y =…

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Q: If the vector u has magnitude 2 and direction 320° (relative to the positive x-axis), what is the…

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Q: Find the equation of the parabola described below. Find the two points that define the latus rectum,…

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Q: Calculate the derivative of: f'(x) = sec² (15x) f(x) = COS -¹(15x) sin ¹(15x)

A: Given function:- fx=cos-115xsin-115x

Q: f f(x) = V x + 1 , for x 2 -1, then for y 2 -1, fy2 + 2 y ) y + V2x+ 1 ) 1 - وكاد 1 ) V2x+y2

A: f(x)=x+1for f(y2+2y)  put x=y2+2y in f(x)

Q: A chain 180 meters long hangs over the edge of a building that is 180 meters tall. The chain weighs…

A: Given:  A Building of height 180m.  The rope with weight of 25N per meter.  The water bucket with…

Q: Question 23 Find the area between the curve f(x) = x^2+15 and the x-axis from x = 2 to x = 6. the…

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Q: 1. An airplane heads due north at 280 mph. It experiences a 38 mph crosswind flowing in the…

A:

Q: ܢ Find an antiderivative of Antiderivative = 9 z2+9 4 25 in the variable where > Remember to include…

A: To find the antiderivative function.

Q: 15) y = sec ²(x); dy = ? Jx B) 2 secx. tanx c) 2 sec²³x. Tanx E) TanX A) 2 SecX D) Sec²x. Tan²x

A: Given query is to find the derivative.

Q: Suppose that the position of a particle is given by s = f(t): 5t³ + 6t + 9. (a) Find the velocity…

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Q: (-15 ) 20 dx 备

A: Given indefinite integral ∫( 5x - 54x ) dx