Question 15 Find the derivative of y = 32x+5 A. 2 ln 3 (3²x+5) B. In 3 (3²x+5) C. 2ln 3 D. 32x+5 O B A C

Q: 2. Write the given (total) area as an integral. a. The area above the x - axis and below y = 4x²

A: Here , we have given a function  y=4-x^2 Which is an equation of parabola. Now we have to find out…

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve.…

A: To the find the rough estimate of area of region that lies beneath the given curve and the exact…

Q: Solve the following X 1.0[₁-2x] i. D ii. D[xln (2x)] iii. D[cosx - 3 sin (2 x) ]

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Q: Solve the polynomial equation by factoring and check the solutions graphically. x4-9x3+14x² = 0…

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: Here we have to find the indefinite integral.

Q: B. Find the equation of the family of curves whose slope at any point (x,y) is given and which…

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Q: Sketch the region enclosed by the curves à - 5 = 4y and x − 21 = (y — 4)², and compute its area.

A: x-5=4y⇒x=4y+5     x-21=(y-4)2 ⇒x=(y-4)2+21 Area between the curves…

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Q: dx 1+√x-2

A: We have to solve  ∫dx1 + x-23.

Q: If x is the modified divisor used for Jefferson’s method, then x is always greater than standard…

A: If x is the modified divisor used for Jefferson’s method, then x is always greater than…

Q: Step 2 1 To find the integral S H x cos 8x dx by the parts formula, use u = x and v = Apply the rule…

A: This is a problem related to integration. Based on the general formula of integral by parts we will…

Q: 2. y = x(2x+1)³, y"

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Q: 1) Use the definition of the derivative (which involves limits) to calculate g'(x) if g(x) = 3x² 5.…

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Q: 31-34 Use a power series to approximate the definite integral to six decimal places. X 0.3 X • 32.…

A: Given :Use a power series to approximate the definite integralTo find : ∫00.3x1+x3dx∫01/2arctanx2dx…

Q: Σ (1 + 28) n=1 n =

A: Solution: ∑n=1∞(1+x8)-n is an infinite geometric series with the first term b=1x8+1 and the common…

Q: OW ALL WOR ing Standard Labeling, solve the triangle with a = 31°, y = 53°, and b = 15. Round…

A: Given query is to solve the triangle.

Q: Solve the following Bernoulli's differential equations. 1. x²y' + 2xy-5y³ = 0

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Q: 7- Differentiate Y= f(g(x)) h³(√x)

A: Given that,     y=fgx4h3x

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

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Q: 4. dx +

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

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Q: Let f(x)=x²-x²-1 and Xo = 1. To the nearest three decimal places, find X5 using Newton's method of…

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Q: Verify Green's Theorem by evaluating both integrals √ y² dx + x² dy = √ √ ( Ox (ON-OM) c for the…

A: Here we have to verify the Green's theorem.

Q: s sin² (3x) cos³ (3x) dx Hint: cos²x = 1 - sin² x 07 sin²x = 1 - cos² x

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Q: Verify Green's Theorem by evaluating both integrals ƏN [ 1² dx + 2² dy - [ ] (™N - OM) a dA ax ду…

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Q: Select the choice that makes each statement true. x²+x-6 X-2 [Select] x +3 x²+x-6 lim X-2 X-2…

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Q: Describe the graph of the equation. r = (8-2r)i + 14tj O It is a line in 2-space through the point…

A: This is a problem related to vector calculation. Based on the general formula and concepts we will…

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: We have to find the surface area.

Q: While measuring the side of a cube, the percentage error incurred was 3%. Using differentials,…

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Q: 3x hp Find for 2 Әх (2x + 3y) 5. Select the correct answer below: 15(2x + 3y) O 10(2x + 3y)4 О Зу 2x…

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Q: = cot = C C In (x² + y²) + 4 arccot =

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Q: 6. Consider the circle (x - 2)2 + y² = 1. Sketch the surface obtained by rotating this circle about…

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Q: A point starts at (x, y) (5,0) and moves CCW along a circular path that is centered at (x, y) (0,…

A: A point starts at x, y=5, 0 and moves CCW along a circular path that is centered at x, y=0, 0.…

Q: Identify the equation of the tangent line of the function: f(x) = 3x at x=2

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Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the…

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Q: 2ydx + x(x² In y-1)dy=0

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Q: One historic earthquake had magnitude of 8.9 on the Riteter scale. How that had a magnitude of 8.5?…

A: Given:       If I1 and I2 are two intensities, then we are required to find I1I2. To relate this to…

Q: Use the formula k(t) 286 +⁹ k(t) = (4 + 169 +¹2) ² = ¸ ||r'(t) × r"(t)|| ||r' (t)||³ = r(t) =…

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Q: 3. The Bernoulli's form of the differential equation x' ydx+(3x - y³ dy=0 is

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Q: The Bernoulli's form of the differential equation x³ydx+(3x4 - y³dy=0 is

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Q: [₁ 2x - x² dx

A: To integrate.

Q: Let an 7n 8n + 15 For the following answer blanks, decide whether the given sequence or series is…

A: Here, an=7n8n+15

Q: Quiz 2.1- Evaluating Definite Integral Evaluate the following and post your answers in the g.…

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Q: The angle below subtends an arc length of 5.52 cm along the circle centered at the angle's vertex…

A: We know that θ=lr⇒θ=5.522.3=2.4 radians.

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

A: To find the domain of rt and the value of rt0.rt=cosπt i-lnt j+t-16; t0=17

Q: Show complete solution. Let S be the surface with equation y = (4x2/9) + z2 a. Write the equation…

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Q: Find the total mass of the wire with density p whose shape is modeled by r. r(t) = t²i + 2tj + tk,…

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Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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Q: An angle's initial ray points in the 3-o'clock direction and the angle measures 0.48 radians. A…

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Q: The heights on the graph of f'(x) correspond to the slopes of the lines tangent to the graph of f.…

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