Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

A: Given ∫(2x+6)x2-2x+17dxTo evaluate integral:

Q: FIND THE GIVEN DIFFERENTI Homogeneous Eguation ( 3x + 4y) dx - dy -0

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Q: Convert the following parametric curve into Cartesian form: z = 4 sin t, y = 5 sint O None of these.…

A: To convert the parametric equation into Cartesian equation.

Q: f(a)'() マxtる %3D

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Q: Find T(t) and N(t) at the given point. x = e' cos t, y = e' sin t, z = e'; t=0 T(0) = N(0)

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Q: Calculate the volume generated by rotating the region bounded by the following curves about each…

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Q: (n-2n-25n2 -80n+65)+(n-7)

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Q: Evaluate the integral (2х + 6)dx х2 — 2х + 17

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Q: Consider the following function. f(x) = -7x3 + 21x + 8 (a) Find the critical numbers of f. (Enter…

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Q: Calculate ri(t) - r2(t)] and r:(t) x r2(t)] first by differentiating dt the product directly and…

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: f'(x) = f'(4) - L

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Q: E) Find the line's equation which passes through the points (2 , 5), (-3, 1)?

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Q: Find the indefinite integral and check the result by differentiation. Step 1

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Q: Determine the indefinite integral 6+8x3 dx by algebraic manipulation. Assume x>0 when In (x)…

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Q: Evaluate the integral (Trigonometric Substitution) 1 (b²y6 – y®)Zdy

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Q: (a) Evaluate the double integral. бу 4x5 + 1 dA, D = {(x, y) |0sys 1, vỹ s xs 1} (b) Evaluate the…

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Q: Use the formula k(t) = ||r'(t) × r"(t)|| to find k(t). ||r(t)||* r(t) = 8 cos(7t)i+8 sin(7t)j + 3tk…

A: Let's find.

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: А. f(x) 3D Vx + 1; а %— 6 if x > 1 if x < 1 a = 2 С. f(*) — 13х + 1l; а %—-+ a = (3х — 2 В. f (*) —…

A: Only Function given in (C) is continuous at that point but not differentiable at that point. For…

Q: 14 of 19 Which of the following is a parameterization of the line that passes through the point (1,…

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Q: Example 9 Video Example4) Evaluate the integral. In(x) dx Solution dx occurs in the integral. When x…

A: Given query is to find the value of the integral.

Q: tan x If f(x) = 3 sec a f (2) = f (1) =

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Q: The sales of a new high-tech item (in thousands) are given by S(t) = 94 - 90 e-0.2t where t…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given the following cost and revenue functions: C(x) = 10x+ 3 %3D R(x) = 40x– 0.6x? A. Find the…

A: Solve the following

Q: EN tind an equation tor the line tangent to the Lurve at the point defined by the given t, Also find…

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Q: COS X To check for the result, prove that CSC X+ 1- cos x xp Evaluate the lee cida nE the onuntion

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Q: Sketch the region enclosed by the graphs of the given functions. Determine whether it is more…

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Q: SOLVE THE EQUATION. SHOW YOUR COMPLETE AND CLEAN SOLUTION. 2 (x – y) dx + dy = 0 O x + In[2 (x – y)]…

A: To solve the given differential equation.

Q: Find the indefinite integral and check the result by differentiation. COS X dx 1- cos?x

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Q: An equation of the tangent line to a curve at the point (2, 4) is y = x + 2. if at any point (x, y)…

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Q: lim x+0 v25 + 8x – 5

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Q: (a) y = x = 2, y = 0; about the line x = -2. (b) y = 7 – x², y = 3; about the x – axis.

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Q: Find the marginal cost, marginal revenue, and marginal profit functions. C(x)=4x; R(x)=6x-0.001x^2

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Q: Use long division to divide. (5x - 12x? - - 4x + 3) ÷ (5x + 3)

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Q: Question A4 Let the curve C: f (x) = x³ + 6x² – 15x + 8. Find the value(s) of m for which the line y…

A: Given problem:- Let the curve C: f(x)=x3 +6x2 -15x+8. Find the value(s) of m for which the line y =…

Q: 1 7. (x dy – y dx) = 0 x² + y²

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Q: Evaluate the integral (2x + 6)dx x² – 2x + 17

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Q: Evaluate the indicated function for f(x) = x² - 1 and g(x) = x - 3 algebraically. If possible, use a…

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Q: Sketch the region enclosed by y = e*", y = e", and x = 1. Find the area of the region.

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Q: Find the equation of the tangent line to the curve y = 4sin z at the point The equation of this…

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Q: Find the indefinite integral and check the result by differentiation. (e5+ sec e) de

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Q: e-(x²+y³)(x dx + y dy) = 0

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Q: The function of f(x) and it’s first and second derivative are given: A) Domain of f(x) B)y intercept…

A: According to our company's guidelines I can only answer first three subparts of the question since…

Q: Consider a closed rectangular box with a square base with side z and height y. a. Find an equation…

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Q: Evaluate the integral F(t) = f e-t cos(5t) dt. (Note: An arbitrary constant has been added for you.)…

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Q: 4. (3a* +23a +10a -21a+58)÷(a+7)

A: Given that,    3a4+23a3+10a2-21a+58÷a+7

Q: Solve: (2x cosy + 3x y) dæ + (x – a? sin y – y) dy = 0 O 2x cos y + 2x2y-y = C O x3 cos y + x?y-y =…

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Q: dy Given the equation below, find dæ 20a + 4x0y + y° = 25 dy dx Now, find the equation of the…

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Q: 3. COSX + sin x +1 dx 2 cos?x (sin?x+1)

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