Determine the period of the following periodical functions. i. sec x ii. cosec x ii. cot x iv. sin 22x V. cos 5x

Q: Using algebraic substitution, differentiate the following |2+ Vx dx

A: Note: Since, the student has made an typing error by writing "differentiate" in place of "integrate"…

Q: dy Q7. Find y" from the equation dr? %3D ry – y = x. (HINT: First differentiate both sides of the…

A: Let us consider the equation, ax+by=x By Implicit differentiation we get, a+bdydx=1

Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: e following improper integral. If it converges, enter its value. Enter infinity if it diverges to…

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Q: Given: h (t) = Find h'(t). t² +2 O (E) None of the choices -8t3 O h (t) (1²+2)* O h (t) = 8t° (1+t*)…

A: Use quotient rule for differentiating h(t)

Q: Integrate x sqrt of (x+4) dx using algebraic substitution

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Q: Find the distance between the parallel planes – 2z + y + : = 0 and 10z – 5y – 52 – 36 = 0. NOTE:…

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Q: Find parametric equations for the line whose vector equation is given. (a) (x, y) = (2, –5) + t(1,…

A: Parametric equation of the line, <x,y,z>=<a,b,c>+t<p,q,r> , t is a scalar is given…

Q: Show that y = e^2t is a solution of y’’’ - 2y’ - 4y = 0 (where ‘ denotes d/dt), and find the general…

A: We need to solve differential equation and show that y = e^2t is a solution.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: 2. Use the Mean Value Theorem to show that f(r) = 2x sinh(x – 1) + 2" – x has a critical number…

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Q: Convert the equation r = 4 csc (0) from polar coordinates to rectangular coordinates. (Express…

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Q: vith nonzero terms and let m Which is valid An converges absolutely. an converges absolutely an…

A: Series

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series ΣΗ 1 1 S = n+1 n+ 2 n=4…

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Q: | #(In(x))" 1 dx converges and Let p be a positive number. Determine the values of p for which the…

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Q: Given that Vf(10, –2) = 8i – 4j, find the directional derivative of the function f at the point (10,…

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Q: n=5 Task 2: Find the point on the curve y = x² closest to the point (0, m + n), %3D where m is the…

A: m+n=8+5=13The point (0, 13)let the point on the curve be(h, k)y=x2k=h2distance between two points(h,…

Q: Find the vector component of v = (4, – 1,7) along b = (6, 6, –7) and the vector component of v…

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Q: Use the alternating series estimation theorem to determine how many terms should be used to estimate…

A: This is a problem related to series and sum calculation. Based on the available formula and method…

Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: Let an and bn be infinite serics with positive terms. Which is a conclusion of tl n=1 n=1 Limit…

A: option (a) is correctsee below the clarification

Q: (2x - 5y + 3)dx - (2x+4y - 6)dy = 0

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Q: = [] Given: h (t) Find h'(t). t² +2

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Q: Find the vector component of v = 21 -j+ 3k along b = 4i + 4j + 7kand the vector component of v…

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Q: (c) Identify the critical numbers of f and the possible points of inflection of the graph of f.

A: To find the critical number and point of inflection of the graph of f.

Q: 4x – 6 2. Let f(x) 1– (2x – 3)3 a. Find the Taylor series representation for f about x = 1.5 that is…

A: Let's find.

Q: Find equations of the two tangent lines to the graph of f(x) = x² that pass through the point (-1,…

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Q: Find what is missing with complete solution

A: We know that ∫dx=x+c1. So,                 4∫dx=4x+4c1Let C=4c1.⇒4∫dx=4x+C

Q: 3. Given below is a table of values of a function Write the limit of a function by concluding using…

A: Function table values are given, we have to find the limit using table values.

Q: Using Lagrange multipliers, find three positive numbers whose sum is 18 and such that the sum of…

A: Let the three positive integrar are x, y and z

Q: If Arctan gx 3. dx =b Arctan* 3x +C, what is b?

A: Solving the given integral by substitution.

Q: Find parametric equations for the line whose vector equation is given (a) (x, y) = (3, –5) + t(1,…

A: A)x, y =3, -5 + t 1, -2x, y =3, -5 + t, -2tx, y =3+t, -5-2t Parametric equations of the line:x= 3 +…

Q: Find the vector component of v = 2i – j + 3k along b = 3i + 6j + 6k and the vector component of v…

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Q: Approximate the value of the given integral using the trapezoidal rule 12 y dx where the function y…

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Q: Let a = ci + jand b = 6i + 24j. Find c so that a and bare orthogonal. C =

A: Given : a=ci+jb=6i+24ja and b are othogonal   To Find : value of c

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

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Q: Find the exact arc length of the curve x ² + 2) from y = Oto y = 5. Enter the exact answer. L =

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Q: The reverse order of f, S, sin y² dydx is f, S sin y? dxdy False True

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Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: Consider the IVP: x" + 3x' +2x = 4t2 ; x(0) = 0, x'(0) = 0.

A: Given,  x''+3x'+2x=4t2, x(0)=x'(0)=0

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: sin4x S V cos4x + 1 dx

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Q: = -14 – 5t = -5t y = 21 + 3t = 5t – 43 Given the skew lines l1 : Y = 9 – t and l2 : = 2t – 7 (a)…

A: Since, you have ask a question with multiple sup-parts, as per company guidelines we will solve the…

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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Q: Find the gradient of the function at the given point. g(x, y) = 18xe/x, (10, 0) Vg(10, 0) =

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Q: (a) / 2x vx + 1 dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: X Your answer is incorrect. Edit Find the vectors that satisfy the stated conditions. NOTE: Enter…

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Q: Find all values of x in the interval [0, 27] that satisfy the equation. (Enter your answers as a…

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Q: f ′= (6/(x^2))+ 3√x, f (1) = −5

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