Solve the following differential equation y"+y' = sec(x).

Q: Find two unit vectors that make an angle of 60° with  v = 3i + 4j.

A: We are required to find: Two unit vectors that make an angle of 60° with  v = 3i + 4j.

Q: Calculate the integral approximation Se for S6 || ← [₁4+² dz. S 0

A: We have, integrate 4 ^ (- x ^ 2) dx from 0 to 1 n = 6

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Q: part d please

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Q: find the  increasing and decreasing of the function f(x)=4x^3+2x^2+4x

A: To determine where the following function is increasing and decreasing. fx=4x3+2x2+4x

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Q: VIII. Find the equation of the plane with the given description. 1. Passing through P = (2,-1, 4), Q…

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Q: (a) Find the intervals of increase or decrease. (b) Find the local maximum and minimum values. (c)…

A: Given conditions: The given function is y=x⋅x+3 ​ What we need to find: (a) Intervals of increase or…

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Q: A volume is described as follows: 1. the base is the region bounded by = y² + 14y-5 and x = y² - 26y…

A: Given: x = -y^2 + 14 y - 5 x = y^2 - 26 y + 177

Q: Determine the of the following equations. Simplify your answer fully. Use identities dx where…

A: Question 1,           fx=sin2x21+x2

Q: Let f(x, y, z) = xy³ + z and x = st³, y = st³, and z = = s²t². (a) Calculate the primary derivatives…

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Q: represents a vector going 5 km/h N20°E. What is a. 5 km/h S20°E b. 1 km/h S20°W A ? 1 km/h W20°S d.…

A: A→ represents a vector going 5km/h N20°E

Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

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A: Note: Due to Bartleby policy i can solve only the first question with its 3 subparts.     The cost…

Q: Loan Duration 1 day 14 days 30 days Interest Owed $2.72 $37.88 $75.26 (a) Using the interest owed on…

A: Pri copal Amount P =$500 Loan duration t = 1 day Interest I = $2.72

Q: In a simple electric circuit, Ohm's law states that V = IR, where V is the voltage in volts, I is…

A: dVdt=-0.03 volts per second ; dRdt=0.03 ohms per secondR=300 ohms ; I=0.02 ampears And V=IR...1

Q: I. Determine if the differential equations are linear or non-linear. 1. y'-(sin x)y=e* 2. y'- y² = x…

A: NOTE: Refresh your page if you can't see any equations. . The standard form of the first-order…

Q: Evaluate the double integral ∬(x^4)dA, where D is the top half of the disc with center the origin…

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Q: Let f(x) = X 3x + 1 and g(x)=√1-x.

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Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: Use the formula (x) K(X) = = y = 3x4 = |f"(x)| [1 + (F'(x))²] ³ 3/2 to find the curvature.

A: y=3x4

Q: Calculate interval of convergence for series.

A: We use ratio test to find the interval of convergence.

Q: Write a Riemann sum and then a definite integral representing the volume of the region, using the…

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Q: the two-dimensional object. An oversized hockey puc = g _52+6. 495 2

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Q: (b) y = ln(cos x) on the closed interval 0 ≤ x ≤ π/3

A: The length of curve y=fx is∫ab1+dydx2dx

Q: 4. Graph f(x)=-2log, (x-5)+3 Show your work.Write Domain and range.

A: According to  question,given function,fx= -2 log3x-5+3

Q: Find the area under the curve y - area = 6xe-* for x ≥ 3.

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Q: Consider the region bounded by the parabolas: y : x² + 4x + 3 and y = x² + 2x + 3. the volume of the…

A: Red graph is y=x2+4x+3 and blue graph is y=-x2+2x+3

Q: PART III: Solve the following problems. 2. The sum of two positive numbers is 2. Find the smallest…

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Q: 33 ow your work and explain, in your own words, how you ar relevant explanations may receive reduced…

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Q: Lines intersect in a point in two-space but do not intersect in three-space. True False

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Q: 2. Solve by separating variables and check y'= 4x³y with initial conditions_y(0) = 2…

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Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: Use the Midpoint Rule with m = n = 2 to estimate the value for R= [0,8] × [0, 6] X Submit Question…

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Q: Approximate the area under each curve over the specified interval by using the indicated number of…

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: We know that the volume formula int_a^b pi (f(x))^2 dx

Q: f(1) = 1 ƒ'(1) = 2 ƒ'(3) = -5 (a) Chain Rule: h(x) = f(g(x)) ⇒ (b) Product Rule: h(x) = f(x) · g(x)…

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Q: Find the scalar equation of the plane that contains the points A(0, 4, -1), B(6, 2, 5) and C(3, -1,…

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Q: Consider the following integral: a) Note: answers are to be entered to four significant figures. b)…

A: Finally, just sum up the above values and multiply by Δx/2 = 1/4 : = 1/4(10.76720 + 22.10994 +…

Q: Graph a vector, opposite to the given vector, that has an initial point at the origin. 02 PENCIL…

A: Let r is the given vector.We can see that given vector is passing through the point (-7,2) and…

Q: [200] Given E=1 42, determine, L3 3 1 1 the determinant of E. 2 the matrix of the minors. 3 the…

A: E=200142331

Q: If f(-2) = 14, f'(-2) = -16, f(3) = -7 and f'(3) = -5 then: L. z. ( x. f"(x) dx = Submit Question

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