If 0 be a positive acute angle satisfying cos² 0 + cos“ 0 = 1 then the value of tan² 0 + tan“ 0 is

Q: e* dx? e* – e -> What is the integrable form of du ? du

A: Explained below 

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Q: The antiderivative of f(x), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property...

A: we have to find the anti derivative .

Q: Find the area of the region bounded by the curve y=1–÷x² and the x-axis. 9 A 4 square units (B 6 squ...

A: SOLUTION-

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A: The given differential equation is  y''+4y'+8y=0.

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Q: 1 If- csc 0 – 1 + csc 0 + 1 1 = 2 sec 0, and 0 and acute angle, then the value of (cot 0 + cos 0) is...

A: topic - trigonometric identities

Q: In (x le) (2– sec²x)elmtafcsec?x sec(3A – x) - dx to be integrable using the formula 'du? What shoul...

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A: Given y2=4x X=1 and x=4

Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

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Q: Find the diameter of the circle 4x? + 4y? + 24y – 4x – 35 = 0. A. 6V3 B. 6V7 C. 3/6 D. 37 E. None of...

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Q: dx Evaluate Зх — 12 A 00 B + 00 1

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Q: dx For -= In(F (x))+C. What is F (/3) if C=0? (x+x³) (xtan-(x)+1) -1 + - 3 1 + -1 + -

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Q: Use the Trapezoidal Rule to approximate the area under the curve f(x) = 4x2 – x on the interval [2, ...

A: The given function is; f(x)=4x2-x.

Q: Question 5 of 6 Determine the speed along a parameterized path s(t) = (2t°, 2t2) at time t = 9 (assu...

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Q: 1. Complete the following tables of values to investigate lim(x² – 2x + 4). f(x) f(x) 1.6 0.5 1.35 0...

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

Q: cos2x – sin2x cos2x - dx=- + C• What is F(x)? For cosx – sinx 2 sinx - cos?x – cosx+ sin³x 3 3 (sinx...

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Q: mydx = nxdy Ans. x" = cy"

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Q: dx - = In[F(x)]+C•What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + + +

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: Given a production company is planning to increase its production. It is governed by an model equati...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Definite integration

Q: A. Use the tabular method to evaluate the following limits. Set three values of x from each side. Ro...

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Q: What are the radius and center of the circle that passes through the points (2,0), (18,0), and is ta...

A: From the equation of the tangent line we can deduce that the slope of the radical line would be -1/4

Q: Solve the initial value problems. 2. 2y" – 9y' + 9y = e3* y(0) = 0, y'(0) = - 8

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Q: Find the vector component of v = (4,–1, 7) along b = (1, 4, -8) and the vector component of v orthog...

A: Given: v=4,-1,7 & b=1,4,-8   We know that; The expression for the vector projection v onto b is:...

Q: 10 -dx may be writen as Ala secB" + tanB"| + C where A, B, and C are constants not equal to zero. Ev...

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Q: 1. The asymptotes of hyperbola H have equations l1 : 3r-4y+11 =0 and (2 : 3r + 4y-5 = 0. Let C be th...

A: A)l1 : 3x-4y+11=0l2 : 3x+4y-5=04y-11 = 5-4y8y =16y = 23x-4y+11=03x=4(2)-113x=-3x=-1The point of inte...

Q: F F) s an antiderivative of x-+x-, then what is the value of F(1)-F(-1)2 -1

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Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9.

A: We will find the area of the region. 

Q: 1. Find the volume of the solid bounded by the paraboloids z = 6- x² - y and z = 2x? + 2y2.Use polar...

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Q: Find the diameter of the of the circle with center at (-5, 3) and tangent to the line 8 – 2x = 2. 2 ...

A: Solution: center (h,k) = (-5,3) tangent to the line x-axis 8-2x=2 so, x= 3 &y=0 (3,0)

Q: Evaluate the triple integral V++dz dy dz. sb Init bnoos di dire nldeng

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Q: 8. . x² = 4y and y %3D x2+4

A: As per the guidelines I can solve only first question 

Q: dx -= In[F(x)]+C What is F(3) if C = 0? For (x+x*) (x Tan-lx+1) 1 V3 3 R| |6 一3

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Q: (1) ydx + (x + 3y²)dy = 0

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: If F(x) is an antiderivative of x2 +x', then what is the value of F(1) - F(-1)? A) -1 B) -2 D) 3

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Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin ( 6x...

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Here we have to find the unit vectors.

Q: The antiderivative of f (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the * prop...

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Q: Given revenue and cost functions R(q)=80q−0.3q2 and C(q)=14q+550​, find the quantity when profit is ...

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Q: Find the vector component of v = 2i – j+ 3k along b = 2i + 3j + 6k and the vector component of v ort...

A: The vector component of  v along b is the projection of vector v onto b is projbv = v.bb2b . The vec...

Q: (2- secx) secx sec(3A – x) eIn (xle) What should be the value of A for to be integrable using the fo...

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Q: What is the integrable form of dx? e* – e -> S(u?- 1) -12 du du 2 du

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Q: 6. The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on th...

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Q: Given

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Q: The general antiderivative of (3x2- 4)2x² can be written as x" a m --x"+-xP +C. b n What is the valu...

A: We will find the general anti derivative. 

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Follow step 2nd . 

Q: cos2x – sin2x cos2x For -dr=-F(x) + C- What is F(x)? cosx - sinx 3 1 (A) (sinx – cosx) - B (cscx- se...

A: We have to find the F(x)  First we have calculate the indefinite integral