Ans: -+ cosx c 1. y' +y2 sin x = 0

Q: What is the derivative of the function f(x) = In(3x²) ? O a. f'(x)= 2 а. O b. None of these. 1…

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Q: Find the arc length of the parametric curve. x = e', y = e, z = v2t; 0<t< 9

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Q: dx 1-S 4+x2

A: we have to find the integral.

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: A radioactive element decays according to the function y=yoe^-0.0388t, where t is time in years.  If…

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Q: t 048 12 16 f(t)|32|29 25 23 19 Using the Riemann sums and this table, find the left and right sums…

A: Let's find.

Q: Use the power reduction formulas to rewrite the expression. sin (6x)

A: Here, we have to rewrite the given expression in simplest form. It means that eliminate the higher…

Q: 5x 8. 10e dx

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Q: f(E) = 90€-7€ %3D

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Q: SECTION I: MATRIX OPERATIONS 2 -1 4 -0.5] -1 1.5 0.25 1.5 A = 4 C = -7 B = -3 2.75 0.1 3 |-0.5 1 0.2…

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

Q: 9. Given that u = (1,5) and v = (-2,3), determine the following %3D -3u – 4v =

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Q: Find the area of the shaded region Blank 1 Note: Enter exact answer ... x = y 20 1000 y2 20 Blank 1…

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Q: Find the maximal area of a right triangle with hypotenuse of length 2.

A: Given:     Hypotheses length = 1

Q: curves

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Q: 3 2 4x 6. S x´e* dx

A: ∫ eau du = 1a eau +C ; where , 'C' is an integration constant .

Q: 2-fx'e-2x* dx

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Q: E =E RT In a nF E 2.303 RT EXplain how the con Version 3. Prom in to loe was made and. the humber…

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Q: 3. Calculate the volume and total surface area of the solid prism shown. 11 cm 4 cm 15 cm 5 cm 5 cm…

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Q: Directions: Solve the derivatives of the following functions using the rules in differentiation…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: plane

A: answer is in next step

Q: The rational function 320t V(t) t +3 models the velocity, V(t), in miles per hour, of a dragster t…

A: Distance

Q: 5- (tanx + secx)2 dx

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Q: ex - (1+ x) Use series to evaluate lim 6x2 ex-(1+x) lim %3D 6x2 (Type a simplified fraction.)

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Q: | (2x – y) dx + (x + 3y) dy. Evaluate C: arc on y = x3/2 from (0, 0) to (4, 8)

A: To evaluate the given integral.

Q: 2.

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Q: Find the area of region bounded by the curves y = x² and line y=x.

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Q: Describe the graph of the equation. r = (5 – 21) i + 11tj O It is a plane in 2-space through the…

A: In this question we have to describe graph of equation.

Q: A wooden box is to be made of lumber that is in. thick. The inside length is to be 6 ft, the inside…

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Q: 3. Let h(x) be a twice-differentiable function with h'(x) < 0 and h" (x) < 0 for all real numbers x,…

A: Here, given that h'(x)&lt;0 for all x. Now,…

Q: (x3-4) 2. S dx x3+2x2+2x

A: To evalaute: I=∫x3-4x3+2x2+2xdx=∫1-2x2+2x+4x3+2x2+2xdx=∫dx-∫2x2+2x+4x3+2x2+2xdx

Q: 100e0.1z thousands of Over the next 5 years, a company projects its continuous flow of revenue to be…

A: To find the expected profit of the company

Q: Find the area enclosed by the curves y=2x², y=2\/x ,x=- and x = 1 4 (A) 45/51 (B) 49/96 59/76 (D)…

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Q: /13 3 Find the first four terms of the binomial series for the function (1+ 2x)°. The first term is

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Q: 1. f(t) = sinh? t

A: Given

Q: 3x+1 7. 9e ax

A: The given integral,       ∫9e3x+1dx

Q: Evaluate the definite integral. e6t i + e¬j +t k )dt O e6 - i - e- 6. + (e* – 1) i – (e-1 – 1) j + k…

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Q: Find the following Laplace and Inverse Laplace Transform of the function. 5. f(t) = e-4t (t-cos(t))

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Q: Given the following optimization problem: max(500-q)q-50q q*=50 O True O False

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Q: dP 5. = P- p2 cet Ans: %3D %3D dt 1-P

A: topic - differential  equation

Q: Evaluate 4x2 + 4x + 5 dx

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Q: 2. 01> 7 ( (E) 1<1<2 and 5 <r<6 OA 旧0 OB 近。

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Q: -8 6. 8 -8 (a) Where is f(x) 0? (d) Where is f(x) > 0? (e) Where is f(x) negative? () Where is f(x)…

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8xy? = 2y6 +…

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Q: Use Implicit Differentiation to find dy/dx where 2xy + x = 1 1-2y a. y' = 2x -3-2y b. y': 2x -1-2y O…

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does…

A: Given lines are, x=8t+2,y=3,z=-t+1And x=2s+2, y=2s+3, z=s+1⇒x-28=y-30=z-1-1=t…

Q: 8. xy +y2 - x²y' = 0

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Q: y = 3V(x³ + 1)

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Q: Determine the points at which the limacon defined by the polar equation r= 3 + 2 sin(theta) has…

A: We need to find tangent and sketch.

Q: Estimate the error if P2(x) = 1- is used to estimate the value of cos x at x = 0.6. 2 ...…

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