Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON 2 1 1 -2 -3 -4 45

Q: Summary of Derivatives of Transcen Let u be a differentiable function of z du (a)(e) =eu dr (b)(b) =…

A: To express the derivative of transcendental functions.

Q: Evaluate 7664/7 [²² (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32) X

A: We have to evaluate of given integral

Q: (measured counter- 1. A circle with radius 2 is centered at the origin (0,0). For an angle clockwise…

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Q: 7. Do as indicated. 1 1. Let f(x)= = Find the equation of the tangent line to the graph of f'(x) at…

A: This question is related to straight lines, we will solve it using given information.

Q: dy II. Find Do not simplify your answers. dx 1. log; (√2x² + y) + tan(2* — 7³) = sin¯¹ (2²-1) + - Б

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Q: 5. (a) Find the exact value of sin (20) given that sin (0) = 3/5 and 0 is in quadrant II. (b) If cos…

A: Given problems:- 5. (a) Find the exact value of sin (2θ) given that sin (θ) = 3/5 and θ is in…

Q: 1 of x only, then = 0 (x) dx ne given equatio 2 21

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Q: 3. lim x-3 (x-3) tan(9-x²) sin²(2x - 6)

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Q: пр 4. STIS df x²s 5. Evaluat

A: I=∫0π3  x2 sin3x dxIntegration by parts;u=x2, v=sin 3xI=x2∫sin3x dx-∫(2x ∫sin3x dx)  dxI=-x2…

Q: d (h) (cot ¹(2)) = d (i)=(sec ¹(1))= = d (j) (csc-¹(2)) = dr 1 du 1+² dz 1 du I√²-1 dz 1 du I√²-1 dr

A: Given problem:-

Q: - 19 f(x+1)-(x2 - 6x +13) Ax + B √x²+bx+c² dx? (3)-In/x² - 6x + 13| + C The integral What is the…

A: Using partial fraction…

Q: a horizontal coordinate line has eet at the end of t seconds. ocity and instantaneous accelera hen…

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Q: Use differentials and the graph off to approximate the following. (Round your answers to three…

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Q: 1. S =dx = -Arcsin x√x²-4x-1 +2 X √5 +c

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Q: Write an equation for a rational function with: Vertical asymptotes at x = 5 and x = -2 x-intercepts…

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Q: Is Area = ∫βαf(x)dx∫αβf(x)dx as positive, negative or zero? positive negative zero

A: Here in first graph we had shaded the area under this function as given below in figure : So from…

Q: III. Suppose that a function f(x) satisfies the following properties, together with the table of…

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Q: d Calculater₁(t) r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly and…

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Q: dx secx+1

A: First simply the equation Using Trigonometric identities.

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: x+1 1-x In [cosh (x+1) + sinh (x+1) lim 2tanh x=1- lim_ In x=1+ l

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Q: I. Evaluate the following limits. Using L'Hôpital's Rule is not allowed. 2. lim (√²-x- (x² + x)

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

Q: nto v. t of u orthogonal to v.

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Q: [2 If A = 3 4 1. 3 2. 6 3. 8 4. 0 x-3 -2 -1 x-27 -1 -5 is a symmetric matrix then x 4

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Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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Q: b Sx³sin(2x)dx= [x²s(2x) dx = 27x²³ - 24 W 64 Given : Find bif s sbst

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Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Find Duf at P. NOTE: Enter the exact answer. Duf = f(x, y) = sin(3x – 4y); P(4,3); u || 35 i I

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Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

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Q: /² sin ( cos() sin() dx (Consider initially the first 2 terms)

A: To evaluate the value of given integral.

Q: Integrating Factor by Inspection: 7. xdx + ydd = (x² + y²)dx

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Q: 1. ² sin() cos() sin(x) dx (Consider initially the first 2 terms)

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Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: Question 8 Using trigonometric substitution, what is f √x²_9 x3 A sec (-²) – + C √x²-9 6x² B √x²_9…

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Q: 62. du * |x|dx

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Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: 3. x dy + 6y = 3xyi dx

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 2x 3x lim x-2- (-²-2- -3X=42) x -…

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Q: Find sec 2x -dx. tan 2x cot82x (4sec 22x-1) (A) 12 1 1 I B 12 tan 2x 16 tan 82x Ⓒ -co1²2x-co1³21+ C…

A: Here is the solution

Q: 11. ydx + x(x²y = 1)dy = 0 -

A: y dx+x3 y dy- x dy=0(y dx -x dy) +x3y dy =0(x dy-y dx)-x3y dy=0dividing by x2;(x dy-y dx)x2=xy dy…

Q: 5-10 Find the area under the curve y = f(x) over the stated interval. 5. f(x) = x³; [2, 3] 7. f(x) =…

A: Area

Q: 1 8x 16-x², dx

A: We can explain the answer for you in the following steps.

Q: Two copies of the same Rational Function are shown below. On the graph below draw the Horizontal…

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Q: 12. lim [ln(t) sin(t)] t→0+

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Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: 5. f(x)= x³; [2, 3]

A: To calculate area under curve we have to integrate the function within the given limits Please note:…

Q: Let f(x) = 3x + 6 x + 7 Find: 1) the domain in interval notation Note: Use -00 foroo, oo for oo, U…

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Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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Q: Use the formula k(t): 390 t¹1 k(t) (4 +225 +26) = ||r' (t) x r"(t)|| ||r' (t)||³ r(t) = t²i+t¹5j X…

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Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows: