1. Find the second derivative of the parametric equations_x = a cost and y = b sin t

Q: Given csc 0 = -3, sketch the angle in standard position and find cos 0 and tan 9, where e terminates…

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Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A: answer is in next step . please give a like

Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: The functions f, g, and h are defined as follows. f(x) = −3+√x+19 g(x)=−3 |x-8| Find f(-3), g(6),…

A: Topic:- function

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: Solve the following equations:* y" - 3y' + 2y = 2x² + ex + 2xe* +4e³x

A: answer is in next step

Q: Sa -1 dx (1+x²) 12/2

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Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: We should recognise the t and do the appropriate calculations.

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: H Let f(x) = 0 if x=2 x² −1 if x > 2 Determine the two-sided limit lim fƒ(x). x-2

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Q: Solve the triangle. C≈ A≈ B≈ (Round to two decimal places as needed.) O (Round to one decimal place…

A: We have to find out the angle and side

Q: Vector Magnitude Correct? p= N w =-2i + 6j

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Q: 2. FIND THE VOLUME OF SOLID GENERATED BY REVOLVING THE AREA ENCLOSED BY: y= x^2+1, x=0, y=0, and x=2…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

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Q: Find v-w, if v = - 4i + 5j and w = 6i - 4j. |v - w|| = (Type an exact answer, using radicals as…

A: We can answer both the question as below

Q: Simplify the expression In c. * a. d. 3x Iní3x)

A: topic :- simplification

Q: polar of a point are giv the pon R/2 R/2 6f 4 4 2 2 -6 -2 4 6 -2 -4 R/2 R/2 6. 4 4 -6 -4 2 -6 -2…

A: Topic = Geometry

Q: 87元 6 2 23 4元 3 ✈0 江 11元 6

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Q: sinx find f"(0). 4. If A) = %3D C. a. e d.

A: Please refer to the image below

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

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Q: Find f, f, f. fx= f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

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Q: the sum of the series by using the first six terms. (See Example 4. Round your answer to four…

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Q: A standard cell has an emf "E" of 1.2 volts. If the resistance "R" of the circuit is increasing at…

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Q: The time t taken for an investment to increase by 40% when the interest rate is 3% is given by t= ln…

A: We have to find the time.

Q: Let f(x) = ln(x7) f'(x) = ƒ' (e²) =

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Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

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Q: Find the equation of a plane through the points (6, – 4, 4), (3, 6, – 4), (4, – 8, 3).

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Q: What do you call the first derivative of the function of distance with respect to time? 25 Impulse…

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: If f(x) = 4√x ln(x), find f'(x).

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Q: Find the area of the surface generated by revolving the curve about each given axis. x= 5t, y- 9t,…

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Q: If f(x) = 10(sin(x))", find ƒ'(2).

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Q: 1. Get the first derivative f': 2. Find the factors: 3. Find the critical numbers: 4. Get the second…

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Q: 4. Given the triangle below, find the value of angle C to the nearest degree. angle C = degrees 20 A…

A: Solved below.

Q: Find the curvature of the curve F(t) = (cos(5t), sin(5t), 3t) at the point t

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Q: 2) 1 V1-x² dx

A: The given integral,      ∫11-x2dx

Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: This is a weird polar graph question in calc II, I don't know how to answer it. If you can provide a…

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Q: 1. Find the area bounded by: x=y² and y=-x²

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Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: Sketch of given vector,

Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g as…

A: We have to find out the domain and range

Q: A balloon is release from the ground 200m from an observer. The balloon rises 42 directly upward at…

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Q: Suppose that the function g is defined, for all real numbers, as fo -4 if x < -2 g(x) = (x+1)²…

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Q: 2-[x³.e* dx 3- S x².cosx dx

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Q: c) (fog)(x). Simplify the function. d) The domain of (fog)(x). e) Evaluate and simplify f(x)-h(x).

A: Given query is to find the domain of indicated composite function.

Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: The two-dimensional Laplace equation, f(x,y)= -9x-6y +4 2²f ax 2²f Find for the given function. 2²4…

A: The given function,  f(x,y)=-9x-6y+4

Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: 218x- 2y-z= 10 x-3z = -2 3-x+y-3z=-4 |

A: We will solve this system of equations algebraically.

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.