2. (D4 + 5D²+4) y cos (3x +4

Q: Solve the FIRST ORDER LINEAR D.E. Linear in y y' = x³ - 2xy →when x = 1, y = 1

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Q: The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground…

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Q: The angle between 0 and 2 in radians that is coterminal with the angle 41 6 Tin radians is

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Q: Find the Taylor series generated by fat x = a. f(x) = 4x + 2x² + 3, a = − 3 The Taylor series…

A: We need to find Taylor series.

Q: 6. Sketch the graphs of the functions, f(x) = 2* and g(x) = x - 1 on the axes below. Then, on the…

A: we need to graph the functions.

Q: Show that the vector field F = is not conservative by showing it is not path independent.

A: We have to show that given vector field is not conservative. Topic:- Vector Calculus.

Q: Suppose that 3 ≤ f'(x) ≤ 4 for all values of x. What are the minimum and maximum possible values of…

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Q: Suppose F = (5x - 5y)i + (x + 5y)j. Use Stokes' Theorem to make the following circulation…

A: We need to solve using Stokes' theorem.

Q: g1 = 3 g2 = 4 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last…

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Q: Given f'(x) = 3x¹ − 4x³ + 7. Determine where the point of inflection of the graph of f occur. (a.) x…

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Q: -6-4-2 8 6- 4 2+ -2+ 2 4 se the graph to determine lim f(x). x-3+ 2. limit does not exist 3. limit =…

A: Given query is to find indicated limit.

Q: Evaluate the iterated integral by converting to polar coordinates. 1/2 [1² [VF] xy² dx dy 31.

A: To evaluate the iterated integral by converting to polar coordinates.∫012∫3y1-y2xy2 dx dy

Q: A flat metal plate is mounted on a coordinate plane. The temperature of the plate, in degrees…

A: Solve the following

Q: The integral ₁ |102² – 2³ – 24x| da MUST be evaluated by breaking it up into a sum of three…

A: The given integral is:∫-15 10x2-x3-24x dx

Q: Evaluate: [æ sin(x) da =

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Q: Find all the horizontal and vertical asymptotes (if any) of the function g(x)=|3x|· tan¯¹ '() Show…

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Q: d. f(x) = (2x-3)5 (2x²- e²x)-3

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

Q: WRITE THE RATIO up! 3 I Tic 3 DIFFERENT WAYS •4:3 प 14.4 to 3 5.7 ARE FIND 3 EQUIVALENT RATIOS 14 3…

A: Please see the below picture for detailed solution.

Q: Find the surface area of the part of the sphere x² + y² + z² = 9 that lies above the cone 2 = √x² +…

A: To find the surface area of the part of sphere lying above the cone.

Q: 1) di If f(x+k) dx=8, where k is constant, then -1 k+3 Shfl k-1 f(x) dx=?

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Q: This perfume bottle has a label in the shape of part of a circle. A diagram of the label is shown…

A: We have to find the height of the label.

Q: IS IT POSSIBLE TO DO THE TRAPEZIUM METHOD AND THE SIMPSON METHOD AGAIN BECAUSE IT IS INCORRECT

A: Give the exact values of the approximations provided by these method b)trapezium methods c)Simpson's…

Q: ㅠ mine the equation of the tangent line at t = to the curve defined 3 metrically by the equations…

A: Topic: application of derivatives

Q: 15. Integrate f(x): = sin(x²) x using a power series

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Q: farmer blended corn and weat to make 40 pounds of chicken feed. if the blend consisted of 3 parts of…

A: Given query is to find the quantity of corn.

Q: Consider the line y = ax, where a is a positive constant. What is the shortest distance between the…

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Q: Solve the FIRST ORDER LINEAR D.E. Linear in r sin 0 dr de = -1 - 2rcos 0

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Q: Find an equation of the hyperbola that has vertices (0, 3) and foci (0, +4). Equation: = 1

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Q: 134 134 Suppose that a 17 and b₁ = 7. Compute the sum. 134 Σ(12a₁ + 17b;) i=1 Question Help: Message…

A: given  ∑i=1134ai=17∑ bi =7i=1134

Q: Let f′′(θ)=sin(θ)+cos(θ) and suppose that f(0)=6 and f′(0)=10.  What is the sum of the coefficients…

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Q: 7. Make a substitution to express the integrand as a rational function (a quotient of polynomials)…

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Q: 5. Choose appropriate x-values and complete the table of values (to five decimal places). Use the…

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Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

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Q: SHOW FULL SOLUTION AND EXPLAIN. INTEGRAL CALCULUS. 1. Find the area bounded by y=lnx, x=e^2 and the…

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Q: Below is the graph of a function f. -2 H

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Q: b. [² x xp zx

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Q: Graph each function using radians. 4) y = 4cos 0 6) y = 2cos Т Л Ө 2 2л Зл 2л 2 Зл 4 5л Зл 2 5 бл 5)…

A: The given functions, 4) y=4 cosθ 5) y=sin 4θ 6) y=2cosθ2. We have to sketch graph of the each…

Q: Question Determine the second derivative of the parametrically defined curve represented by the…

A: Given query is to find indicated derivative.

Q: x cos 3xdx

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Q: D.E Linear in y y' = x³ - 2xy → when x = 1, y = 1

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Q: Consider the indefinite integral fat This can be transformed into a basic integral by letting ՂԱ du…

A: The given integral, ∫x4x5-8 dx We have to change this integral using substitution.

Q: Given f'(x) = 3x4 — 4x³ + 7. Find all critical numbers of f'. (a.) 1 and 2 (b.) 1 and 3 (c.) 0 and 1…

A: To find the critical numbers of f'

Q: Consider the graph of f(x) to the right. 4 (a) Estimate S 4 [ f(x) dx = [ f(x) dx. 3 (c) If F(0) =…

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Q: Question 5. 56 The inverse Laplace transform of s² + 64 is Asin(bt), where A and b are constants…

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Q: Evaluate the given integral: S 0 4 sin x cos x Cos 2x dx

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Q: Which of the following is a parameterization for the portion of the elliptical paraboloid octant?…

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Q: A 25-year old woman burns 300 - 20t cal/hr while walking on her treadmill. Her caloric intake from…

A: intake cal=140tburns cal =300-2t∫xndx=xn+1n+1+c

Q: For the parabola 4x + 2y² + 8 = 0, find the directrix.

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Q: Find the points on the curve where the tangent is horizontal and where the tangent is vertica x = t³…

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Q: For each of the labelled points on the graph, classify the corresponding point on the graph of y =…

A: Given Graph:-