If the vectors a and b are such that a = kb where k is a positive scalar, then the vectors a and b are parallel vectors which are in the opposite direction. Select one: True False

Q: Method of undetermined coefficients y" -y = 3et ○ y = ₁₁e² + c₂e²x + ²√xex O y = c₁e¹ + c₂e²x + 3xe*…

A: Let's solve given diffrential equation.

Q: DIFFERENTIAL

A: Please refer to the image below

Q: B: Find the Cartesian coordinates for the point (6,7) in polar coordinate

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Q: x = −1+5t y = 3-s-2t z= −2+s

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Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: Find Laplace Transform of f(t) = cos3t By DEF.

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Q: Evaluate the following antiderivatives. 2dx x ln x S

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Q: Evaluate the following integral: Ca-ex ·e¯³) dx a. Analytically b. Trapezoidal rule c. Composite…

A: As per our guidelines we are allowed to answer only three subparts of a given question. Kindly…

Q: A gallon of milk is slowly leaking inside your refrigerator. The number of ounces in the container,…

A: The given data is: V(t)=128e-0.007t To find: How fast is the milk leaking from the gallon container…

Q: 2) A: By using partial method solve [2x² cos x dx

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Q: b) F (1) √x 1 -Jetr 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find 2 Given that F(x) =…

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Q: 63. ei (x) gouloeteluoisey aut Ho The graph of g consists of a semicircle and two line segments for…

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Q: Solve with solution determine the slope of the tangent line to the curve y=3x2 – 2x at the point…

A: Topic = Derivative

Q: A lamp shade is in the form of a frustum of a cone with slant height 7 in., radii of base 3 in. and…

A: The curved surface area of the frustum is given by:                   Given: r = 3 in. R = 7 in. l…

Q: Which of the following pair of vectors have the same direction? Select one: O a = a = -i - 2j + 2k…

A: We have to find vector having same direction

Q: 1- Let n and r be positive integers such that r≤n. Then (a) Pn=nx pn-1 (c) P = pn n-1 (b) P = P-1…

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Q: 1. Find the area bounded by the curves between the curve y=1+x and the line y-1 x

A: area between curve

Q: Refer to functions m and q. Evaluate (qm) (x) and write the domain in interval notation. Write your…

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Q: dy Solve cos x(e2y - y) - dx = e' sin 2x,

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Q: Given : 6 (x, y, z) Compute the gradient 3 6y³z³ - 5 ex at = PA (2,2,1.5) of G (x, y, z)

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Q: at what value(s) of x does the graph of g(x) have relative minimum(s)? justify your reasoning

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Q: 6. fx√4x+1dx

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Q: * The Simpson's Rule gives the exact result when applied to any polynomial .of degree-➖➖➖➖➖➖➖or less…

A: Simpson's Rule: It is a numerical method for approximating the integral of a function between two…

Q: The figure shows the chain drive of a bicycle. How far will the bicycle move if the pedals are…

A: I have explained the solution.

Q: tan ³ (3x) sec" (3x) dx

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Q: 2 1 Lotes So I+ y² xyer² 0 1+ 0 Evaluate Select one: ○ In 2 O ln 2 O 1/4 ○ In 2 O 1/2 O 1 -dydx.…

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Q: Q3: A: Solve the following differential equation Ỳ – (sinx) y = 2 sinx

A: We can solve the given differential equation by using the variable separable method.

Q: 20. A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s. At what rate is the…

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Q: 1. 6 2x² =dx 1 + x

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Q: Let (w, x, y, z) = wxy + x² tan z and a = (1, -2,3,4). Then w(a): .₂(a) = -6 -2 8 60 -8 1-1 2 , (a)…

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Q: 13. Σ n=0 + 1 20 (−1) (-1)") 5"

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 8. Solve the ff DE y" -9y = 0 y = c₁e³x + c₂e-3x y = c₁ cos 3x + c₂ sin 3x y = ³x (c₁ cos 3x + c₂…

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Q: Find the general solution of the following differential equation. y" 6y + 11y = 0 - NOTE: Use c₁ and…

A: This question is based on solution of Complementary function of diffrential equation.

Q: Q1): Determine the general solution of the O.D.E: (1-x) y'-y²=0

A: The given differential equation is:  1-xy'-y2=0   As we know that; The Power Rule: ∫xndx=xn+1n+1+C ;…

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f’’(9). f''(x)= Select…

A: Derivatives

Q: 2. Find the first 4 terms of Taylor series for the function (In x4) about x = 3 ?

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Q: the region r is the base of a solid. for this solid, each cross section perpendicular to the x-axis…

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Q: B: solve the system of equations by Grammer Metho 3x₁ −2x₂ + 4x3 = 19 x₁ +5x₂ −x3 = -12 x₁ + 2x₂ +…

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Q: Find the general solution of the following differential equation. 64y" + 16y' + y = 0 NOTE: Use c₁…

A: The given differential equation,     64y''+16y'+y=0

Q: Differentiate Quident rule 4x² + x √x

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Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: IF B = By using the result of det(A) (A) Find the value of det(B) (B) without use the def (det) if…

A: Let's find determinant of given matrix.

Q: B: Solve the following integrations: a- [x³e-2x¹ dx b-fdx +10 c-f3sec³x. tanx dx arks

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Q: Given that F(x) = a) F'(x) bl 5'(4) 2 1 1 + 2 dt.Using the 2nd Fundamental Theorem of Calculus, find

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Q: . Find the exact value. √x + x² 2x S² dx

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: 89% of 35

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Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.