(ii) sec2 (x) dx

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x2 - y2, (6, 2, 32)…

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Q: How do you take the integral of sqrt(1+(e^-x)^2)?

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A: Let the edge length of the cube be 'a' units

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A: Given: u=3  θu=8v=1 θv=3

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A: Follow the procedure given below.

Q: (i) re dr -2

A:

Q: 2. y = loga(x³ + 2x – 2)

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Q: Which of the following is TRUE if sin 3A = cos 6B, where 3A and 6B are complementary angles? * A + B…

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Q: 3. Scse*x dx

A: The objective of the question is evaluate the indefinite integral.

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Q: Hello, can you please solve the final answer using a right tringle? On there, we are instructed to…

A: After step 3: Line 9:  19-13sin3y+1siny+C We can use the triangle for subtitution.

Q: | cos'x cot x dx 3.

A: To integrate the given.

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A:

Q: Determine whether the lines are parallel or identical. X - 5- y+ 4 z + 8 5 4 x + 7 = y - 5 z + 23…

A: The directional vector of L1:v1=4, -3, 5The directional vector of L2:v2:-8, 6, -10   : -2 4, -3, 5v2…

Q: Differentiate implicitly to find dy Then find the slope of the curve at the given point dx 8x-9y…

A: topic - implicit differentiation

Q: (b) Draw the graphs of the solution and of the forcing function; explain how they are related. [1, 0…

A: Given

Q: Which of the following is NOT a solution to the trigonometric equation 2 cot 0 cos 0 – cot 0 = 0? 2…

A:

Q: Solve through Bernoulli's Equation: * - y = xy O y-l +x – 1 = ce¯* O y + x – 1 = ce"

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.…

Q: f(x, y) = e2Y sin(x), P(0, 0), Q(2, 1)

A: Use the formula for the directional derivative and simplify.

Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. 1 y…

A:

Q: standard

A: As per the guidelines we can solve 3 parts only. Please repost the same for more answers.

Q: Evaluate by separation of variables. dß %3D и(1 — и?) sec? р du 2 tan B+ sin 2ß = C – (1 – u?)? 2u?…

A: To solve the given differential equation.

Q: Select from multiple choice and fill in the blanks

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² – 2xy + y²,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point. f(x, y) =…

Q: Let f be a continuous function on [a, b]. Which of the following statements is false A If k is a…

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Q: 4v-16v²dv

A:

Q: 4. The graph below depicts a function g(r). Its one asymptote is indicated in red: 4 -5 -4 -3 -2 -1…

A: Find your answer below

Q: Given the hyperbola with the equation y – 9x? = -9, find the vertices, the foci, and the equations…

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Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: We have to find value of given definite integral.

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: Let us consider a differential equation of the form, dx/dy +xf(y)= g(y) Then it's integrating…

Q: Which of the following is equivalent to cos 0-2 cos 0 sine 1-sin 0+sin²0-cos²0° tan 0 cot 0 O Option…

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: 1 Use the geometric series 1 >a* for |æ| < 1, to find a power series representation k=0 for the…

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Q: Fove that y = ln|| is a solution to 1+e-22 - xey-x² . Use the initial values x = 0 and y = 0.

A: Given query is to find the solution of the differential equation.

Q: Which of the following trigonometric expressions is NOT equivalent to 1? * csc? 0 – cot² 0 cos? 0 +…

A: To determine which of the given trigonometric expressions are not equal to one.

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A:

Q: Is it log or ln that should be used?

A: You are right. There was a mistake from our end.  Here is the correct explanation: y=x3x Take ln on…

Q: Q2. Evaluate the integrals below by first using trigonometric identities to simplify the in-…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4. Solve the second order differential equation given by 2 dt2 3z = 4c", z(0) = 0, dt dr(0) 0. dt

A: We will solve the second order differential equation.

Q: Q1. Evaluate the integrals below using the integral rules derived in Lectures 13-15. For each…

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Q: CSC* x dx cot2 x cot²

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Q: Determine whether the area of the given unbounded region is finite. If the area is finite find it.…

A: The region is bounded by curves y=1x4 , x=1 and y=0 which is to the right of the vertical line x =1.…

Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

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Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd