4x /² sin () cos (+) sin (²) dx (Consider initially the first 2 terms) 3

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A: This question can be solved using the concept of dot product and cross product of two vectors and…

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A: We need to describe graph of given function.

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Q: Consider using the method of partial fractions to solve x²+x+1 Sa 2x²+2+x²+x A In(x²+1) B x+2 D…

A: This is a problem related to integration of the function using partial fraction decomposition. Based…

Q: 91_در lim 2-3 z²+4z-21 LIMIT VALUE: lim 2--1 LIMIT VALUE: lim (x³ +7x² - 2x + 4) 2-2 LIMIT VALUE:…

A: Solved below

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

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Q: 2.4 x cos x² dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: 8 x²-1 x³+x A. -1 dx = √( + g(x)) + g(x) a dx, then A + f C. 1 g(x) dx is c B. -1 + In(5/2) to D.…

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Q: d'y Given: y = ax + bx³ + cx² + dx + e, where a, b, c, d, e are constant, find dx5

A: Topic:- derivatives

Q: Question 2 Consider using the method of partial fractions to solve rb dx = Sa 2x²+2+x³+x² dx = [Aƒ…

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Q: Find the arc length of the graph of NOTE: Enter the exact answer. L = r(t) = e√²t¡ + e¯√²tj + 2tk,…

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Q: e) x² Cos y - £ + 2 dx = 0 dy (9²-4) (x-1) = (x+)) dx ay g) y² e²^¹ = cosh x + √eosh ²x -1 +7 e ² y'…

A: As per our guideline we are supposed to answer only first question of a multiple type of questions.…

Q: dx 5. Evaluate the following tanº(x) cos4(x) tan'(x) [7tan²(x) +9] + C 36 tan(x) + =tan(x) + C…

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Q: [x-²sec (an ² (2) dx 7 2tan ²2 (²) - 7tan² ( 1 ) - ₁ X + C 77 11 2ten* (²) 2³(-).c 2tan X - + +C 11…

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Q: sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Determine the area of the surface generated by rotating around the "y" axis, the curve described by:

A: Here, the given parametric curve is: x=t33, y=t+1; 1≤t≤2⇒x'(t)=t2, y'(1)=1 Now, the surface area…

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A: Given; h(t)=-4.9t2+91t+164

Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.

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Q: ||r'(t) x r"(t)|| 3 ||r' (t)||³ r(t) = t²i+t¹³j Use the formula k(t): = k(t) = = to find k(t).

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Q: How many different 5-digit phone numbers do not contain the digit 6? Assume that any digit in the…

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Q: Use linear approximation or differentials (but not both) to estimate: cube root of 7.98 Is your…

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

Q: Using trigonometric substitution, what is sec-1 (-) √x²-9 6x² + C sec (1) √x²-9 6x² + C sec-¹ √x²-9…

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Q: Find T(t) and N(t) at the given point. X = = et cost, y = et sint, z=et; t = 0 T(0) = N(0) || =

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Q: Consider the parabola given by the equation: Find the following for this parabola: A) The vertex is…

A: The given equation,    fx=-9x2-18x-7

Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). X18 8118 -x³ + x f(x) = √4x6 - 3…

A: We can solve this as follows:

Q: Find all six solutions between 0 and 2 for the trigonometric equation: sin(30) = Use the multiple…

A: The given equation,      sin3θ=12

Q: Question 8 Jesse wants to build a rectangular pen for his animals. One side of the pen will be…

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Q: 15x²x³43x - 19 can be rewritten as (x + 1)²(x² - 6x +13) Ax + B C D Slax ² + + lax² + bx+c (mx + n)t…

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A: Volume is evaluated.

Q: Solving z² + 14-7-0 by completing the square method produces an equation of the form (z + h)² = k.…

A: Given,              x2+14x-7=0

Q: √√√x²-9 Consider x³ what is the integral form in terms of? 1 A Scos²e de B Scos²e de Ⓒ-S sin²e de C)…

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Q: 14. Evaluate the following √x-²sec (+)tan ³ ( =) « dx 2tan (²) [7tan² ( ² ) +11] +C 77 2tan…

A: To evaluate: I=∫x-2sec41xtan521xdx Substitute 1x=t⇒-1x2dx=dt⇒x-2=-dt So, I=∫sec4t  tan52t…

Q: tri(t): [r₁(t) r₂(t)] = r₁(t) x + x r₂(t). dt dt ri(t) = cos(t)i + sin(t)j + 6tk, r₂(t) = 5i + tk d.…

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Q: d d Calculate[r₁(t) r₂(t)] and ==[r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

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Q: Question 7 10 -8 -6 -4 -2 8 10 -2- -4 -6 -8 -10 Write an equation for the graph, where y depends on…

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Q: Find the radius of convergence, R, of the series. 8 n Σ (x-a)", b>0 bn n = 1 R= Find the interval,…

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Q: Find F'(x). 1. F(x) = √x+² (4t + 1)dt 2. F(x) = f*t³dt SOLUTION IN HANDWRITTEN

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Q: Choose ALL of the following intervals on which the following function is continuous. 2-4 f(x) = 2²²6…

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Q: r=3sin20 and r=2) a. Pick two points on the graph and find their tangent lines. b. Find an area that…

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