uestions: A) find the indefinite integral of the function y = 3t^2 + 2e^3t + 1/t + 2cos3t? B) calculate the definite integral: (this is an integral operator, with a 1 at the bottom and 2 at the top of the integral operator) 1int2 3t^2 + 2e^3t + 1/t + 2cos3t dt ?

Q: Determine the area bounded by the curve y=9x/5 and the line y=x-2 A. 3.43 sq. units B. 6.86 sq. unit...

A: y2=9x5 , y=x-2x=5y29, x=y+2solving both the curves9x5=(x-2)2 9x=5(x2-4x+4)5x2-29x+20=0x=29±(-29)2-4(...

Q: What is the common difference of the arithmetic progression 10, 5, 0, -5?

A: The arithmetic progression 10, 5, 0, -5

Q: Sketch each angle in standard position and determine what quadrant it lies in А.) 130° В.) -285° C.)...

A: Since the student has posted many sub-parts of the question and does not mention any specific part, ...

Q: Determine whether the series is convergent ordivergent. the exact test that you Use. 00 Sinl 2. nこ1

A: To determine whether the given series is convergent or divergent.To write the exact test that you us...

Q: a. Consider the parabola f(x) = x² -4x + 3 i) Write the equation in vertex form. ii) Find the vertex...

A:

Q: Figure 2: The three faces are labeled - including the third 'outer face'. If there are no areas encl...

A:

Q: ; Use Gausss D.T. to evalu arte where F=4 xi -zy'i+zk auds is the sarfece bounding the regioh x?+y=4...

A:

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. (a) Vn (-1...

A:

Q: An inverted conical tank with 14 m height and 7 m radius at the top is full of water. Calculate the ...

A:

Q: 9. Sketch the solid obtained by rotating the region underneath the graph of the function f(x) = Vx2 ...

A: The answer is in step 2.

Q: y V3 x dx 8y-y2

A:

Q: consider aClosed rectangutar box with a If base side ir measured with elrok at Squar bare and the he...

A: Here, note that the surface area of the rectangular box with a square base is given by: S=2x2+4xy An...

Q: y Vy2 + 4 dy Let u = y?

A:

Q: I. Identify the coordinates of the end of the vertices of the major and minor axis and foci of the f...

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

Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

A:

Q: Find the area bounded by the given curves and lines. 1 y? (2-2) x = -2 x = 0

A: Area under the curve y2=12-x3/2, -2≤x≤0

Q: Draw a sketch of a function that satisfies the following conditions. S(x) 0 for x>2 S(2) =0 S(x) 0 ...

A:

Q: Solve for the antiderivative of the function f(x) = C. *++3x + C A. ++9x+C B. 즉++9x +C D. 2x ++3x + ...

A:

Q: P(x) = 8x + 26x - 67x + 15; a = -5, b = 2 = -5: -5 8 26 -67 15 e the row containing the quotient and...

A: Topic:- polynomial

Q: Use Cramer's rule to solve the system. 3x- y-5z 14 3x-5y-2z 2 3x - 5y = -6 ... Write the fractions u...

A:

Q: Find the integral of (1 + 2x)e^(-x) dx from x-0 to x--. A. 3 B. 4 C. 2 D. 1 O A B. DI

A: Use integration by parts for solving it, 

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - x^2 a...

A:

Q: -1 dx 21 16

A:

Q: For the given functions, find the domain, range and sketch the graph: 1. y = (2 + 3x)/(x – 1) ------...

A: We have to find domain,range and graph

Q: 5x2 + 20x + 6 dx x3 + 2x2 + x 3.

A:

Q: Solve for the Linear Differential Equation: y' + y = 1

A:

Q: Find the angle of the slope for the line L1: 3X - 4Y+2 0 35 O 60 O 90 37 45 40 O 30 O

A: we have to find slope dy/dx  we have to derivate the function with respect to x 3x -4y +2 =0 3 - 4dy...

Q: Evaluate the integral: tejat A. 2 1n(e2t-e-2t) +C B. 2 1n(e2t + e¬2t) +C e20-e-2t In(e2t-e-2t) +c - ...

A: To evaluate the given integral.

Q: X Your answer is incorrect. Use the fact that the volume of a tetrahedron with adjacent edges given ...

A:

Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

Q: A. The population is 900 in the beginning and grows by 350 people each year for 20 years.

A:

Q: QUESTION 10o Select each convergent series from the options below. No work required. 1 n=1 5 n=1

A: P-Test: The series ∑n=1∞1np converges if p>1 and diverges if p≤1 The series ∑n=1∞rn converges if ...

Q: Determine if the series comverges or diverges. If the series converges, find its sum. If it Σ 4n 4(n...

A: This is a problem related to series and sum calculation Based on the available method we will find o...

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A: I am attaching image so that you understand each and every step.

Q: If the integral contains v(x^2 - a^2), the best trigonometric substitution to be used is A. let x = ...

A: Solution is written in below steps.

Q: Get the integral of ſe*sin x dx using integration by parts c. e*(sinx – cos x) + c D. -e*(sinx – cos...

A: The integration of the integral is exsinx. 

Q: 3x-28х+49 Зx-7х a. Simplify : i) ii) /x'y . /xy. Write the answer in radical form. b. Solve the equa...

A: i)=3x2-28x+493x2-7x=3x2-7x-21x+493x2-7x=(x-7)(3x-7)3x2-7x=(x-7)(3x-7)x(3x-7)=x-7xor=1-7x

Q: x+1 Evaluate f dx x2 A. 를 (1+즐)를 B.-름 (1+즐)를 c.(1- - - - (1- ) + C + C (1 + 3 + C + C D. 3. A OB C

A:

Q: "4 rseco sin 20 dp do d0 0. 0,

A:

Q: Find the vector component of v = (4, – 1,7) along b = (2, 4, –4) and the vector component of v ortho...

A:

Q: The sequence that begins 101, 105, 109, 113, 117, .could be O a geometric sequence. O a Fibonacci se...

A: This question can be solved using the concept of types of sequence.

Q: Evaluate f sec x dx.

A:

Q: The function f(x) = 6x¬1 for the interval (1,3) has a local minimum. a local maximum. both local min...

A: Note :- As you write for solution only for interval [1,2] so i  am providing solution only for it.

Q: 1. Determine el área encerrada por la elipse + = 1 y? 25 2. Determine el área de la región bajo la c...

A:

Q: Determination of Integrating Factors : Solve the equation (x² + y? + 1) dx + x (x – 2y) dy = 0 O x? ...

A: Explanation of the answer is as follows

Q: There are 12 people in a dinner gathering. In how many ways can they arrange themselves around a din...

A: We use permutations and combinations. Number of ways to arrange n objects in n places is n! Number o...

Q: Evaluate fx²e¬*dx A. -x2e-x – 2xe-x – 2e-x+c B. x²e-x – 2xe=x – 2e-X+C с.-х?е-х — хе-х- 2е-х+с D. x²...

A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

Q: Find the volume of the solid of revolution obtained by revolving the region bounded by y = x - X*2 a...

A:

Q: Use the method of cylindrical shells (for all parts) to set up an integral (without the absolute val...

A:

Q: Use Lagrange multipliers to find the maximum and minimum values of the function f(x, y) = y² – x² su...

A: f(x,y)=y2-x2g(x,y)=14x2+y2-1=0∇f=-2x, 2y∇g=x2, 2ySet up:∇f=λ∇g and g(x,y)=02y(λ-1)=0-2x-λx2=0x24+y2=...