Write an equation of the form y = a sin bx or y = a cos bx to describe the graph below. → 2- प्र 3 n x 5 m 8 8 -1 -2 4 T 8 T 8 77 4 2 3 4

Q: 1. An undamped spring-mass system with mass m = 2 and a spring constant k = 8 is suddenly set in…

A: Solution in step 2

Q: x² +9+√√√y²+1=5 max x + y

A: Given problem:-

Q: Write the conjugate of √a +3

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Q: Find the limit. lim (t i − 3 j + t² k) 1-5 lim (t i − 3 j + t² k) − i 1-5 i k = i+ i j+

A: We can find the exact answer as below

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: Evaluate the integral order of integration. NOTE: Enter the exact answer. I fe e² dx dy= = e² dx dy…

A: Given:         ∫06∫y23ex2dxdy  Reversing the order of integration.       y2≤x≤3    y≤2x≤6…

Q: y = = Ax is YBC Ycs YBS = 1 -1 0 1 1 0 - D IB XC IS

A:

Q: Plot y = B sin(Aπx) cos(x) with a solid line over the interval 0 < x < 3 with the vertical axis set…

A: close allclear allformatclc A = 21;B = 5;C = 3;y1 = @(x) B * sin(A*pi*x) .* cos(x);y2 = @(x) B *…

Q: L=

A: Follow the procedure given below.

Q: 1. True or False: Click A if the statement is True, otherwise click B (False). 1. All continuous…

A:

Q: Use the One-to-One Property to solve the equation for x. - 2x 7 = 4 X =

A: we have to slove the above question and find the value of x

Q: The radius of the base of a right circular cone is decreasing at the rate of 4 cm/min, and the…

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Q: 2. (4x³-3)dx

A: Let's find.

Q: 3. x³ = x + 2y x-2y " y'

A:

Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: du (u² + a²)² √

A:

Q: Given sin(a)= -and a is in quadrant IV and sin(B) = and π/2 <B<T. Use sum and difference formulas to…

A: Given sin(α) = - 8/9 and α is in quadrant IV and sin(β) = 5/8 and π/2&lt;β&lt;π Use sum and…

Q: Find a potential function of the vector field. F(x,y) = (3x²y + 1, x³+2y)

A: we have to find potential function.

Q: A company can buy a machine that is expected to increase the company's net income by $10,000 each…

A: Given Continuous annual stream function R(t)=$10000 time t=10 year  ; M=10 Rate of interest r=6%…

Q: Convert the following lines to parametric equation. a) l₁: = (1,0,1) + t(1,0,−2), t = R Z-3 b) 1₂: x…

A:

Q: Determine if y=5 cos x and x=31²-5t+3 dx

A: Given,             y=5cosx , x=3t2-5t+3To find : Determine dydt

Q: using least cost method

A: The total cost using least cost method is Rs 284

Q: Solve for the limit of the following limits functions. Write your answers in simplest forms. If the…

A:

Q: Locate the absolute extrema of the function on the closed interval. (a) f(t) = ₂, [3,5] (b) f(x)=…

A: The given functions,a) ft=tt-2, 3,5b) fx=x3-12x, 0,4

Q: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

A: Use the definition of the derivative to compute dy/dx. y=2x^2-3x+1

Q: Answer B True False The derivative of the function y=x²log (1-x²) is x² y=2xlog (1 - xảy - 2 1-x

A:

Q: y = tan 2x 1-cot 2x

A: Given,            y=tan2x1-cot2xTo find : Find the derivative of the given function.

Q: At the end of each month, for 36 months, $300 is put into an account paying 7% annual interest…

A:

Q: Determine whether the improper integral diverges or converges. 00 √x³²e-x dx O diverges Evaluate the…

A: To find the integral: ∫0∞x2e-xdx converges or diverges.

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

A:

Q: Find the partial derivatives f(x,y)=e* sin(xy) of dx

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Q: C. ¡(4eª + x¹/³)dx

A:

Q: 3t AT(1) The temperature T of a person during an illness is given by T(t) = +98.6, where T is the…

A: T(t)=3tt2+3+98.6A)T'(t)=(t2+3)ddt(3t)-3t…

Q: Find a critical point tid b.) relative maximum value valve C.) Relative mini mom d.) inflection…

A: Note :-  Here Equation of g(x) = 2x2-9x2+27 =-7x2+27 Or g(x) =2x3 -9x2+27  So we solve this problem…

Q: Let C be the parametric curve defined by Sx(t) = t² - 2, y(t) = t³ - 3t + 1. Determine if C is…

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Q: A firm has the marginal-demand function D'(x) = D=11,000 when x = $3 per unit. The demand function…

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Q: √81 - y² ST (x + y) dx dy

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Q: Emma thinks that three lines cannot be simultaneously perpendicular to each other. What can Emma's…

A:

Q: Determine the equation of the tangent line to the function f(x) = x square root (5-x^2) at x = 1

A:

Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (x, y). Don't…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Evaluate finne sin(e) e dydx

A: To evaluate the given integral.∫0ln 1∫ln 10ex siney ey dy dx

Q: Solve the given equation in the interval [0,2 π]. Note: The answer must be written as a multiple of…

A: This question can be solved using the concept of solution of trigonometric equations.

Q: [18x² √6x³ +5 dx 3 ○a. — (6׳ +5)³/4 + C b. (6x³ +54/5 + Oc.5(6x³+5)¹/5 + C d. 5 Od (6x³+5) ³/4 + C…

A:

Q: Given: y = (In x)" (In x)", find dy/dx.

A: The given function,     y=ln xx

Q: Given the expression below, set up (DO NOT SOLVE) the partial fraction decomposition. (Use A, B, C,…

A:

Q: d d Calculate[ri(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: 4. Is the function f(x) = (x + 1 ((x-4)² +3 ; x<4 continuous at x = 4? Why or why not? ; X24

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: 25 2 la

A: We have to find the following conditions according to the given information

Q: 4. Use mathematical induction to prove the truth of each of the following assertions for all n ≥ 1.…

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Q: 8. eeer +eyty dy

A: