Evaluate the limit lim, 5 a. 2 b. 0 C -1 x d. I

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Q: cos 2x + 2 sin 2 x = _______

A: This question can be solved by applying the formula of cos2x cos2x=cos2x-sin2x

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A: As we are not given any particular, we will take the help of the graph here.

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A: Given query is to find simplified term for the expression.

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Q: Find the indefinite integral. 4x2+2x-1 d.x none of these Omz + 1| -31m|z미-글+C o+ Inz* + =*|+C In a+1...

A: Given: I=∫4x2+2x-1x3+x2dx   We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫1ax+bdx...

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Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: 637 A central angle in a circle sweeps out an area of square centimeters. If the central angle is 2 ...

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Q: solve the differential equation: y2dx+(x2-xy-y2)dy = 0

A: Given:    y2dx+x2-xy-y2dy=0

Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: Exercise: 1. Convert the Rectangular coordinates (-1,1, v6) to spherical coordinates. 2. Convert the...

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Q: Which graph shows the function f (z) = tan z? 2- 0. 2x -1 12 4 3 2 -1 -2 Cunpy

A: Topic:- trigonometry   

Q: Use technology to evaluate the given expression. Take 1.3 7.3 A = 1.6 -2.34 5.7 and B = 5.3 0 O 12.9...

A: A=1.6-2.345.744.9012.9 and B=1.37.35.305.56.3

Q: Write an equation of an ellipse with center at (3,2), focus at (5,2), and vertex at (8,2). (x- 3)2 ,...

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Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

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Q: Use the Quotient Rule to find the derivative of the function. 3x - 7 g(x) = %3D x² - 1

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Q: Find the exact value of the following trigonometric expression: .2 tan? o - sec? o = Submit Question...

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Q: 49. If the complementary function of this equation is Y. = c;e* +c2xe*, then by the method of variat...

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Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

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Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: 13. DETAILS LARAPCALC10 2.7.016. Find the slope of the graph of the equation at the given point. (If...

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Q: Suppose that Miguel has traveled a distance of 1 km, and now he wants to convert distance into cm , ...

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Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: In the decomposition a = aTT + aNN, what do aT and aN represent?

A: Solution: Given data, a = aTT + aNN

Q: 1. Find the value of the directional derivative at the particular point Po for the given function in...

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Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: What is the y-intercept of the function y = cot I? || ㅇ(T,0) O (0,0) O (1,0) (0, 1) O It does not ha...

A: The function is given as y=cot(x) The objective is to find the y-intercept.

Q: a 3+ 1 S (z2 +4 ) dx. Which of the following is equal to the given integral? O not integrable O z + ...

A: Given: ∫ x3+1(x2+4)2 dx To form a partial fraction which is equivalent to the given integral:

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A: Given query is to find the derivative of the expression.

Q: 46. Let the assumed particular solution for the given DE be y, = (Ar³ + Bx² + Cx)e* + E. What is the...

A: A detailed solution is given below.

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: plane is flying directly away from you at 500 mph at an altitude of 3 miles. How fast is the plane's...

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Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

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Q: $6. Determine the complementary function for the given DE.

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Q: Solve the exact differential equation. If the given is not exact, determine the integrating factor t...

A: We have to find complete solution of differenrial equation

Q: Use substitution to evaluate the integral 6 cos t (2+ sin t)? dc 6 3 3 + C 2+ sin t + C 2+ sin t + C...

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Q: Use the Chain Rule to find the derivative of the function. y (4x2 - 7)3 %3D

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Q: 1. Evaluate: e 3z I = dz (ez + e5z)2

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Q: Determine whether the series converges, and if so find its sum If the series diverges, indicate that...

A: The given series is summation of 1/(81k2+63k-8).

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Q: 5. (2xye*³y + y²e*y² + 1)dx + (x²e*²y + 2xye*y² – 2y)dy = 0

A: Recall: If the equation Mdx+Ndy =0 is exact i.e,∂M∂y=∂N∂x , then the solution is                 ∫y ...

Q: Complete the following statements, if s(1) is a position or displacement function.

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