Use trig identities to integrate: sinxsec’xdx

Q: Researchers are trying to examine the effectiveness of a diabetes treatment. They have three…

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Q: 5 Find two geometric means between -2 and 54 -2, 54

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Q: Let r(t) = Find fr(e) de (don't include the +C) fF(t)dt = < [

A: Given,  r→(t)=-4t4-3,-4e3t,-2sin(-t) ∫r→(t) dt =∫-4t4-3dt,∫-4e3tdt,∫-2 sin-tdt

Q: Find the sum of the first 100 whole numbers?

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Q: 4x² + 4y2 +422-8x + 16y=1 presents a sphere, and find its center and radius.

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Q: 2dx 3 x - √x² 2 S

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Q: 3. Evaluate the indicated line integrals in the complex plane by direct integration. Siz dz along…

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Q: 4dx 3r x-√√x² S

A: Let's solve given integral.

Q: 1. Given the function f(x)=2-4x+ +$. Please find the intervals of increase or decrease, absolute…

A: Given problem:-

Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

A: Here, the given equation of the line is: x=1+3t,y=-1-2t,z=3+t Therefore, the direction vector is:…

Q: Basic PDES Which of the following statements is guaranteed to be true? - [cos(y) + y²x] = y2²…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Which of the following is NOT an improper integral? 0 2x of ₁7² +²22-3²² dx + 2x - 3 2x x2 2 - 3x e…

A: which of the following is not an improper integral??

Q: A manufacturer of boots for a slalom water ski has a production cost of $30 for each boot. The cost…

A: As per our guidelines, we can answer only three sub-parts in a single request. Kindly re-post the…

Q: True or False? 13. Let R be a relation on a set A. Then R is transitive if and only if R ◦ R ⊆ R.

A: According to our guidelines, we can answer only one question. Other questions can be reposted.

Q: Solve the integral shown below. . S | xsin xdx

A: Given problem:- ∫x sin(x)dx

Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: Determine

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Q: The radius of convergence for the series Select one: O 10 O 1 On/10 n=0 n²xn 10n is

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Q: Prove that sin²x x cos²x = csc²a-cot²x 4c8c²2x

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Q: Solve the following. x³-x²-√2x limx→21 x2-11x+18

A: To evaluate the given limit, first, we multiply the numerator and denominator of the given function…

Q: Which of the following is a mathematical sentence? 1.2 is a prime number. II. = 0. I and II Il only…

A: To find out the correct option.

Q: 2) for evdxdy

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Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. y If I have a…

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Q: Solve for x sin (log2 (13x2 + 16x - 34) = y

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Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

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Q: KIN T 2 sin² x cos⁹ x dx

A: We will solve integral using Wallis formula  The wallis formula is :

Q: 3 2s² (s²+5)) Find L 4 transformation. by using the properties of inverse Laplace

A: We have to find the inverse laplace.

Q: Solve the systems of equations by using the matrix inverse method. r+s+t+w=4 2r-s+w=2 3r+s-t-w=2…

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Q: on the set of rational numbers as a b = ab D. Com

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Q: Q4. f(x)=5 and 1(x)de=8 dx = 5 and f(x) dx = 8 then f(x)dx a) -3 b) -13 c) 13 d) 3 dx is given by

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Q: [s sin(√x)dx

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Q: 17/45 100% + Example 3: Find the parametric and symmetric equations of the line passing through the…

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny [the Low +¹Y2 ex+y dxdy 0

A: See the details solution in below

Q: Consider the initial value problem y + y = 8 + 2 cos 2t, y(0) = 4 a) Find the solution of this…

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Q: Integral Calculus

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Q: Evaluate the determinant of the given matrix by reducing the matrix to row-echelon form. 3 -6 9 A =…

A: We have to find det(A)

Q: Find curl F if F(x,y,z) = 7exy i-8 cosy j +5 sin²z k. curl F = -7xexy k curl F = -7xexy i curl F =…

A: In this question, we want to find the curl of given vector function.

Q: 8. Find the point on the curve y = √2x 3 from the point (1, 4)-

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Q: Using laplace transforms solve for x and y: dx dy + + 5x + 3y = e-t dt dt dx dy 2 + +x+y = 3 dt dt…

A: Laplace transform of (i) Ldxdt=sX(s)-x(0),  Ldydt=sY(s)-y(0)(ii) Le-t=1s+1

Q: Show that (cos 0 + i sin 0)" = cos n0 + i sinne for n = 3 and n = 4.

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Q: dx √4 - 9x²

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Q: Consider the arc L: y = 1+ cosa from (0, 2) to (,¹). of the surface formed when I is revolved about…

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Q: a. b. Evaluate the following integrals 2 dx cos²x√4 tan x- tan² x I [ sin(√a)da dx

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Q: Consider the region bounded by y = ex+1, ¹, y = 1, and y-axis.

A: Follow the procedure given below.

Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

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Q: 13. Algebraically determine the values of that satisfy the equation 2 cos²0+ cos 0-1=0, where 0…

A: First I have let x=costheta And then reduce the trigonometrical equation into algebraic equation and…

Q: Q2: write and prove an Approximation property for the Supremum.

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Q: the arclength of the curve y = on 3

A: We will solve the problem.