Evaluate (csc 4x + cot 4x) dx 2

Q: Find the curl of the vector field F curl F = (2y cos(x), 5x sin(y))

A: F = (2ycosx , 5xsiny) find curl F =?   curl F  = dF2/dx - dF1/dy here  F1 = 2ycosx  F2 = 5xsiny now…

Q: Please solve for part a of the problem provided in the photo below

A: Use partial derivative

Q: x4 dx X³- 2x²-7X-4

A: The given integral is: I=∫x4x3-2x2-7x-4dx   As we know the common integral.…

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Q: Solve the initial value problem y" + 10y' + 25y = 0, y(-1) = 5, y'(-1) = 3. y(t) =

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A: Given: x14 at a=16

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Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

Q: • Find f' (-1) for f(x) = (3x + 2)² in each of the following ways: • Create a table of secant slopes…

A: Solution is given below:

Q: ries of f(x) = lor series. =0 =0 =0 (−1)²+1 (-1)²+¹ (-1)". 1 (x-7)" 8n+1 (x (x − 8)¹+1 7" E(-1)", =0…

A: We have to find the Taylor series from the given condition and also indentify  the valid interval

Q: Q2 a) Find the parametric equation of the line that passes by P(1, 2, 2) and that is parallel to the…

A: We have to solve above question of vector and 3D.

Q: 9. Following shows the graph of function g(x). The arrow means the function will leads to infinity…

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Q: 3. Find the average rate of change of function f(x) = 4 - 2x² (a) On [0, 1] (b) On [a, a+h].…

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Q: Evaluate the integral. Select the correct answer. 2√ 213, 9 S -1 -1 tan 2 ( 1² + 2x + 4) - ²¹ (+²) -…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Find the derivative using logarithmic differentiation. x(x + 4) (5x + 1)(3x +7) (Express numbers in…

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Q: Consider the function f(x)=√/2x-8 for the domain [4, co). Find f(x), where f¹ is the inverse of f.…

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Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: Use the graph below to write the quadratic function in vertex form. Be sure to use the equation…

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Q: lim h→0 (e) cos( 4 + h) - 1 h

A: To find the limit of following function

Q: b) [. Provide two points on the sphere that you have in part a. c) [. The intersection of the sphere…

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Q: lim h→0 (e) cos( 4 + h) h 1

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Q: lim 0-4 In[(1 + h)² + 1] - ln(2) y

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Q: Find the indefinite integral. x + 7 √x² + 14x5 Step 1 J To find the indefinite integral dx x + 7 x²…

A: Topic = Integration Fill the blanks with   du = (2x+14) dx

Q: 13. Consider the functions f(x) and g(x) in the tables below. 5 6 7 8 f(x) 1 4 2 3 (A) g(x)= -f(x)+3…

A: topic- functions

Q: Use the first derivative test to find the location of all local extrema in the interval (0, 4) for…

A: The given function is f(x)=-5x+3 ln(x)

Q: Find d [f₁z²dA where R = {(x, y) | 36x² +16y² ≤ 576}

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Q: Sketch the space curve represented by the vector-valued function and give the orientation of the…

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Q: Starting with the graph of write the equation of the graph that results from reflecting about the…

A: Reflection

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S8 dx 6 x+8 ?

A: As per the instruction, we will be answering the first question. Given:

Q: F(t) = 4(t+1)²

A: we have f(t) =4(t+1)2 =4(t2+2t+1)

Q: A B 3-5 In Ix-31+ C X --5 In Ix-31 + C x3 3x²+5 (x-3) S: C dx x3+5 In Ix-31+ C D x3 +5 In Ix-31+ C

A: Evaluating the indefinite integral

Q: 7. The points of inflection are found by solving the first derivative equal to zero. 8. When the…

A: You must have idea about Calculus in order to get the answer for these questions.

Q: Find the derivative using logarithmic differentiation. x(x+4) (5x + 1)(3x +7) y =

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Q: Let r(t) = (et, t2 + 1, h(t)). If |r' (0)| = √2, which of the following is a possible h(t)? O sin(t)…

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Q: es (x²+bx+c)² dx

A: As per Bartleby guideline, only the first question has been answered in case of multiple questions.…

Q: Calculate the derivative of y with respect to x. Express derivative in terms of sin (y³) (Express…

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Q: x2/3+ y2/3=4 from x =1 to x = 8. Find the arc length of the curve x²

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Q: 150 Find the consumers' surplus for a product if the demand function is given by D(x) = 3+x Answer…

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Q: The graph of f is shown in the figure to the right. Let A(x) = for f. Evaluate the following area…

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Q: Suppose we know the following: z = f(x, y) where x = 2v-u, y=v² +2u, (-3,2)= 12, fy(-3,2)= -15,…

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Q: Find r'(t). r(t) = (3 cos(t), 4 sin(t)) r'(t) = (No Response) Need Help? Read It Watch It

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Q: Work Problem 1. J (a)i- Show that the following equation represents a sphere, and find its center…

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Q: Find the order 3 Taylor polynomial T3(x) of the given function given. Use exact values. 3 f(x) = (5x…

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Q: Given the curves y=(x^2)/2​  −4·x and y=−x^2+8,   Sketch both curves on the same coordinate plane…

A: Let's solve.

Q: Use the power reducing formulas to rewrite sin²x cos²x in terms of the first power of cosine.…

A: Using the formulas of Cos(2x) and Cos(4x)

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Q: Find axb, a vector orthogonal to both vectors a' and b. a = (-3, 2, 1) and =(4, -2,5)

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Q: Find the equation of the curve that passes through the point (3, 2) if its slope is given by y = dy…

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Q: (a) Use the Midpoint Rule with n = 6 to approximate integral Sc dx 8 x-6 x+8 Write your answer exact…

A: (a) From the given integral, the function is fx=x-6x+8, a=6, b=8 and n=6. Note that, the formula for…