Date: 03/2 Directions: Find the 1. X hyp 47° 24Vj Фе ( 14 X=

Q: 5. Find the arc length of the curve y = 3x³/2 from x = 0 to x = 4.

A: Step 1: Step 2: Step 3: Step 4:

Q: Question 4 Find an equation of (a) The plane through the point (2, 0, 1) and perpendicular to the…

A: ANS : ( a ) ​STEP 1 ​​  STEP 2 ​​   ANS : ( b ) ​ STEP 1 ​​STEP 2 ​​  ANS : ( c ) ​ STEP 1 ​​ STEP 2…

Q: Write an equation for the graph below. +10+ 9 10 -9 -8 -7 -6 -5 -4 -3-2-1 8 7 6 5 4 3 2 1 1 3 4 5 6…

A: The given graph resembles the natural logarithm function f(x)=ln(x). Key Observations:Domain…

Q: (x^2+y^2)dx+(x^2-xy)dy=0  , Determine if the equation is homogeneous.

A: A differential equation of the form  M(x,y)dx+N(x,y)dy=0 is homogeneous if both M(x, y) and N(x, y)…

Q: 4. Consider the initial value problem y' = 3x(y-1) 1/3, y(xo) = yo. (a) For what points (co, yo)…

A: (Hope this helps)

Q: Find the derivative of the function. 9x² -x y= (5x - 7)

A: f(x)=9x2−xg(x)=(5x−7)9Quotient rule states thatf′(x)=d/dx[​(9x2−x)]= 18x−1g′(x)=9(5x−7)8⋅5=…

Q: i need help please

A: Given the vector field𝐹=(−𝑥𝑦𝑧−𝑥−2𝑦,−4𝑥𝑦𝑧−4𝑦𝑧−4𝑦,−3𝑥𝑦𝑧+𝑥𝑦+4𝑧) and the parametric…

Q: ds 5. Find a solution to this initial value problem: 3t2, s(0) = 5. dt 6. Find a solution to this…

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Q: 5. Using parentheses make sense of the expression V · VXVV · Å where Ả = Ã(x, y, z). Is the result a…

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Q: For the position function s(t) = - 16t² + 105t, complete the following table with the appropriate…

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Q: please solve, thank you

A: Step 1:Step 2: Step 3: Step 4:

Q: For the following function f and real number a, a. find the slope of the tangent line mtan = f' (a),…

A: We are given the function: f(x)=x22​  (a) Slope of the Tangent LineThe slope of the tangent line is…

Q: 4 44 3+ 2+ -4-3 -2 -1 2 3 4 -2 -3. Find the values at X which the graph is discontinuous and…

A: We determine the points of discontinuity and categorize them from the graph:• At x = 3: There is a…

Q: Pls help me with accurate answer asap pls

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Q: Instructions.   "I have written solutions in text form, but I need experts to rewrite them in…

A: Non-cursive form; In cursive form:

Q: 21/solve the following differential equation Using laplace transform y₁ =-y, Y₁(0)=1 y' = Y Y₂(0)=0…

A: Step 1:Step 2:Step 3:Step 4:

Q: Given the vector v→=⟨3,-5⟩, find the magnitude and angle in which the vector points (measured in…

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Q: Do the Laplace Transformation and give the answer in Partial Fractions. Also do the Inverted Laplace…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1)…

A: Step 1:Step 2: Step 3: Step 4:

Q: Evaluate the integral using integration by parts. Stan (13y)dy

A: We evaluate the integral  I=∫tan−1(13y)dyusing integration by parts by using the…

Q: 2. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.015. Use the Trapezoidal Rule, the Midpoint Rule,…

A: Approach to solving the question: Let's break this problem down step by step. The given integral…

Q: y"-9y+20y= 80t-156 y(0) = −6, y'(0) = 5 y(t) =

A: Step 1:Step 2:Step 3:Step 4:

Q: Solve y"-2y+26y= 0, y(0) = 2, y'(0) = -13 y(t) =

A: Rewrite the differential equation into its characteristic equation and solve for the…

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Q: Find area of the sector show work pls

A: The formula for the area of a sector is:  A=360∘θ​×πr2  where:• θ = 260° (central angle)• r = 11 mi…

Q: 3. The total profit (in dollars) from selling x watches is P(x)=0.52x²-0.0002x². Find and interpret…

A: Step 1:   Step 2: Step 3: Step 4:

Q: Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x)…

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Q: 1 0 4 2 -2 Q1: If A=0 -6 -5 2 7 2 -1 2 0 3 -1 2 and D = 1 2 0 0 -15 6 2 0 4 1 12 Find (for two…

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Q: Find the (exact) direction cosines and (rounded to 1 decimal place) direction angles of = (3,7,6)

A: Step 1: Step 2: Step 3: Step 4:

Q: Complete the square and find the indefinite integral. (Remember to use absolute values where…

A: We solve the integral:I=∫x2−12x+27​x​dx Step 1: Complete the SquareThe quadratic expression in the…

Q: There is exactly number a and one number b such that the vector field F = conservative. For those…

A: Stepwise solution to determine the values of a and b for the vector field F = (3ay + z, 3ayz + 3x,…

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Q: Find the derivative of the function. 54 q(y)=4y² (2y²+1)

A: Given function: q(y)=4y2(2y2+1)45​ Differentiation Rule Since the function is a product of two…

Q: Please refer below

A: First, we need to find the composite function f(g(x)). This is done by substituting g(x) into…

Q: Question Given the following piecewise function, evaluate lim →1− f(x). Select the correct answer…

A: Since we are looking for the limit as x approaches 1 from the left, we need to consider the piece of…

Q: 12. [0/1 Points] DETAILS MY NOTES SESSCALCET2 5.5.022. Evaluate the indefinite integral. (Use C for…

A: Step 1: Step 2: Step 3: Step 4:

Q: B 2- The figure gives four points and some corresponding rays in the xy-plane. Which of the…

A: Option A: Correct: OC is the initial ray (positive x-axis), and OB is in the second quadrant. The…

Q: Please refer below

A: We find a piecewise function based on the given graph as follows.  Step 1: Identify the segmentsFrom…

Q: π 25. If lies in the interval <0</ and Sinh x = tan 0. Show that: 2 Cosh x= Sec 0, tanh x =Sin 0,…

A: Using the definition of hyperbolic functions, we can show that coshx=secθ, tanhx=sinθ, cothx=cscθ,…

Q: Find the following limit or state that it does not exist. Assume b is a fixed real number. (x-b) 40…

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Q: Suppose that R (x) is a polynomial of degree 7 whose coefficients are real numbers. Also, suppose…

A: Step 1 To determine the maximum number of nonreal zeros that R(x) can have. Understanding the Given…

Q: 53,85÷1,5=

A: Step 1: Step 2: Step 3: Step 4:

Q: 6. (i) Sketch the trace of the following curve on R², (t) = (sin(t), 3 sin(t)), tЄ [0, π]. [3 Marks]…

A: Step 1: Step 2: Step 3: Step 4:

Q: Pls help me with accurate answer and solution asap pls

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Q: Construct 6X9 matrix with nullity 2

A: Here is the sample matrix:  Rank = 7 , Nullity = 2

Q: solve please, thank you

A: ANSWER :​

Q: A 10-ft boom is acted upon by the 810-lb force as shown in the figure. D 6 ft 6 ft E B 7 ft C 6 ft 4…

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Q: For each given function f(x) find f'(x) using the rules learned in section 9.5. 1. f(x)=x32 32x 2.…

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Q: 4 Consider f(x) periodic function with period 2, coinciding with (x) = -x on the interval [,0) and…

A: Step-by-Step Detailed SolutionYou are given a periodic function f(x) with period 2π, defined as:f(x)…