Q1: Find the length of a and b in the following triangle a 75 30

Q: Which among the choices is NOT true about the continuity of f(x)? x2 -4x-5 if x + 5 f(x) = 2x–10 3,…

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Q: Find three positive numbers whose sum is 48 and such that their product is as large as possible.…

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Q: 2. Evaluate f'(5) for y = v2x² – 1 hor Ju OIT

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Q: Let 7 (t) = Find 7'(t) F'(t) -

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Q: Describe the graph of the equation. r = 15 sin 18t i + 15 cos 18t j O It is an ellipse in the…

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Q: 2. Let f(x) be a continuous function on R. The following is known about f(x): • The domain of f(x)…

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Q: Evaluate the integral of (3x2 + 9y2) dx dy if the interior limits has an upper limit of y and a…

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Q: -32 ft/sec?. Assume that the in n object's downward acceleration is given by y"(t) = elocity is y'…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: What theorem is used to solve for centroid? Pappus O varignon's O Castiglliano's O Pascal's

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Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: 2. y = x5 + 2x* + 5x3 + 4x² + x +1

A: Find the derivatives by applying basic differentiation rules.

Q: 8 – a? if – 2 2 between O 8 and 16 O O and 8 O 16 and 24 O 16 and 33

A: Given problem:-

Q: L 32 da = 65 %3D Select one: O True O False A2Vadx = 104/3 Select one: O True O False S (+4)(a+3)da…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y1…

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Q: Using Sandwich Theorem 3n? + 1 an = (-1)" n3 – 4 converges to 1 diverges converges to -1 none of…

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Q: d 10.(4* tan x) dx

A: Find the derivative

Q: Find the general solution 5. (D² – 1)y = 0

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Q: Find dy for dx 1. e*y = e4x – e5y ху

A: exy=e4x-e5yDifferentiate with respect to yyexy+xexydydx=-5e5ydydx(xexy+5e5y)dydx=-yexy

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: Let F(t) = < 5t + 5, t - 2t, 2 In < 5t' + 5,f – t, a. Determine the coordinates of the point on the…

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Q: dx а. x V4+ln?x

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Q: Find the absolute maximum and minimum values of f(x, y) = (x^2)y of the set D = {(x, y): x ≥ 0, y ≥…

A: To find the maxima and minima first diffrenciate and then equate it to zero.

Q: Find the critical points of the parametric equations x = 5 – Int y = t+ Int

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Q: Find div F and curl F if F(x, y, z) = 13y°z³i – 9x*z³j – 4ry°k. div F= curl F=

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Q: Solve the following initial-valued problems. y'=(y/x)+2,   y(1)=3

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Q: dy Find for dx 4) y= sinxtanx

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Q: A stone is thrown vertically upward from the ground with an initial velocity of 128 ft/sec. How long…

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Q: The smaller the curvature in the bend of a road, the faster a car can travel. Assume that the…

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Q: 2. dy dx

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Q: Evaluate the double integral. 7x sin y'dA; Ris the region that is bounded by y = x², y = -x', and y…

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Q: y = zsin z

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Q: Consider xy2+x2y=6, find the slope of the tangent line at the point (1, 2)

A: Given query is to find slope of the tangent at given point.

Q: Exercises Distinct Real Roots of Auxiliary Equ d the general solution 1. (D² – 9)y = 0 5. (D² – 1)y…

A: Topic:- application of integration

Q: Find the area bounded by the indicated curves. y = (x - 1)2, y = 8x - 24, where 3 s x s 5 Optional…

A: Let us draw the graph.

Q: 4y" – 4y' + y = 16e*/2

A: Find your answer below

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Describe the graph of the equation. r = 10 sin 6t í – 10 cos 6t j

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Q: cx2 + 8x if x < 3 Let f(x) = 1 x3- cx if x 2 3. For what value of the constant c is the function f…

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Q: Let 7(t) = < 4t° – 4, – 2e*, – 3 sin( – 5t) Find )dt (don't include the +C)

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Q: Find the magnitude and direction angle of the given vector. 5. u = (-10, 24) 6. u = (-5, -12) %3D n…

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Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Follow the procedure given below.

Q: For the given cost function C(x) = 25600 + 500z + x², %3D First, find the average cost function. Use…

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Q: f(g(x)) = (3x² f (g(x)) = (x)(x² +3)² (За* — 2х + 4)°

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Q: f 1 1 3. The graphs of f(x) and g(x) are given above. Find the following: (i) S'(1), where S(x) =…

A: Differentiation

Q: Find the magnitude of the given vector. (-3, 6, 2)

A: Given,            The vector is &lt;-3,6,2&gt;.To find : The magnitude of the given vector.We know…

Q: Find My for a triangle whose vertices are located at (0,0), (1,0), (1,1) if the density of the…

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Q: Use Green's Theorem to evaluate the line integral. | y? dx + xy dy C: boundary of the region lying…

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Q: (7,-2) and Perform the vector operation, given that u = v = (-4, 5). %3D 9. 2u + 3v A-n

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or…

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Q: Express the derivative in "subscript" notation. NOTE: Your answer should take the form fo. dy dx?

A: Consider  ∂3y∂y∂x2=