fsecxdx = In Isecxt tanx | te

Q: Question 1. Find the parametric equations of the line through (-3,4,2) that is perpendicular to both…

A: The line through -3,4,2 that is perpendicular to both u=1,1,-5 and v=0,4,0

Q: Determine if the sequence converges or diverges. If it converges, state the limit. cos²n an = -,n≥1…

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Q: Question 4. Find an equation of the line of intersection of the planes -x+2y+z= 1 and x+y+z=0.

A: This is a problem related to geometry. Based on the general formula and concept we will answer the…

Q: Jse the formula for the binomial series: (1+x)= = = 1 + mx + 1+ Σ m(m-1)-2 ²x² + 2! m(m-1)--(m-k+1)…

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Q: Question 8 of 9

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Q: Find an explicit solution of the given initial-value problem. dx = dt = 2(x² +1), x(77) = 1 11 X

A: Given :dxdt=2x2+1xπ4=1

Q: Determine whether the series converges using the Ratio test. The series IM8 k= &

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Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: A house was valued at $115,000 in the year 1995. The value appreciated to $175,000 by the year 2008.…

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Q: B/ Find the Laplace transform of f(t) defined as: f(t) = (t-1, (3-t, when 1< t <2 when 2 < t <3

A: Let's find laplace transform of given function.

Q: Write the first five terms of the sequence: {√n² + 7n-n}1 Determine whether the sequence converges,…

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Q: 8. f"(x)= 1 2 f'(-1) = 2; f(-1) = 4 x²

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Q: ue of the integral. Explain why the inequality below is true for x > 0. ex e* (sin²x) e2x +3+x² ≤…

A: Given

Q: Indeterminate Form 12. lim tln 1+ X- 13. lim [w² In(4²)] 14. lim[e* +x] 15. lim[cos2y] yo* x0*

A: Solution is given below...

Q: Write an equation for a line parallel to y = y = - 2x + 3 and passing through the point (4,-6)

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Q: B: Solve the following equations by Jacobi Iteration Method. 8 X₁ X₂ X3 = 8 - X₁ 7 X₂ + 2 X3 = -4…

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Q: Solve the given initial-value problem. (x + 1) dy + y = In(x), y(1) = 25 dx y(x) = Give the largest…

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Q: Use Polya's four-step method in problem solving to solve the following problem Five runners Andy.…

A: This is a problem related to mathematical logic. Based on the given data set we will answer the…

Q: Q1/ A: Find: 1 L-1 [55+4 2S-18 24-30 √5 + $²49 the fin 2- L (t² cos at) bu Finite Differences Mot

A: According to bartleby guidelines when student post more than one questions expert must have to…

Q: 4. Find the derivative of f(x) = 7. A. 7 B. 0 C. 7x D. 14

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Q: B) Use vectors to check whether the points A (1,-1,0), B (2,1,-1), and C (-1,1,2), are vertices of a…

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Q: A - a non-linear differential equatio n of the sixth degree. B - a linear differential equation of…

A: given differential is non linear because coshy term included

Q: Problem Solving 1. Consider the function y-3cosx-2x]-1. a. What is the amplitude of the function? b.…

A: Graph of cosine function

Q: 2/ using the integration test the series A n³+n $ Σn. divergent n=1 √√√²² +21² +2 A true 1 Error

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Q: Q1: A. Determine is the following series converged or not and find sum of it 3 3 3+-+ *** 4 16 +

A: A detailed solution is given below.

Q: A combination lock opens with the correct 5 digit code. Each wheel rotates through the digits 1 to…

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Q: Evaluate using u-substitution j²x²√x²1 x²1 dx Evaluate using u-Substitution (Inx) 3 St dx x

A: 1. ∫12x2x3-1dx2. ∫ln x3xdx3. ∫2θ-5 cos2θ dθ

Q: A 200-volt electromotive force is applied to an RC-series circuit in which the resistance is 1000…

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Q: A tank contains 210 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Given the volume of the fluid initially = 210 lsalt dissolved = 40 gpure water is pumped into the…

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

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Q: Using the integration test, the serie S n³+n Σn=1 √n²+2n²+2

A: Given series ∑n=1∞n3+nn4+2n2+2

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: For the solution follow the next step.

Q: (i)_ xyy' + y² = 2x separable exact linear in x linear in y Ⓒhomogeneous Bernoulli in x Bernoulli in…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=4…

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Q: Using the series ratio test 47 Σ=1 = 1 3n+1 L>1 -A L<1 -Β I = 1 -C not of above- D

A: Given :∑n=1∞4n3n+1

Q: 3) 2xydy = (x³ + y²) dx

A: I am attaching image so that you understand each and every step.

Q: Find dy/dx using implicit differentiation a. tan y=x+y b. cos x=x(1+cot y)

A: For (a),     tany=x+yDifferentiating both sides we get,⇒sec2y y'=1+y'⇒dydx=1sec2y-1

Q: 2 f cos³x sin³² x dx = sin ³x 3 sin 5x 5 +6

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Q: A company surveyed employees about how they travel to work. • 47 employees walked 63 employees drove…

A: Given problem:- A company surveyed employees about how they travel to work. • 47 employees walked…

Q: OAATTAM ni 9Tuoy casinu Find the measure of each side indicated. Round to the nearest tenth. 9) B…

A: As per bartleby guidelines we only give three subpart question answer. Please repost for other…

Q: find polar form of the complex number Z= = (2√3-4i) + (-√3+5i).

A: We will find the polar form of the given complex number.

Q: f SECAdX 11 TAN ² x + C

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Q: Using the sum and difference of cosines formula, find the exact value of cos(5π/12)   Enclose…

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Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

A: Here we use kirchoff  voltage rule to  write the differential equation

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A: Given problem:- A thermometer is removed from a room where the temperature is 70° F and is taken…

Q: Use the limit comparison test to determine whether the series converges 1 k=√125k² - 2k The series…

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Q: Q/Limit of a fucation o Lim (csc(x) - cot(x)) = 1 @true 1 Error

A: To determine whether the given statement is true or false.

Q: a) Use polar coordinates to calculate SSR(3x+2y)dA where R is the region in the second quadrant…

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