5. Find the surface area of x = e³ that is of revolution about the y-axis on 0 ≤ y ≤ In 7.

Q: For vectors and shown, drawu - 2 13 19 V

A:

Q: 1. Given function f, defined by the rule f (x) = a (c) bx + k Function fis represented in the…

A: Given that, the function f is defined by the rule     f(x)=acbx+k From the given graph , we can see…

Q: Determine whether the series Σ n=1 convergent, or divergent (−1)” 7n-5 is absolutely convergent,…

A:

Q: B. y = Inx and x - y - 4 = 0.

A:

Q: To integrate x³ exdx'' X we apply integration by parts and in the form u dv, u is set as:

A: To integrate x3ex dx. We apply integration by parts amd in form of udv. u is set as

Q: ч 4х+5 чу+3 ІІ хр бр -

A:

Q: What integration technique can be used to integrate: Integration Formulas Trigonometric Substitution…

A:

Q: (10-6y+e-3) dx - 2dy 2dy = 0

A: Given.

Q: dx In the next integral S x√25–4x² substitution is considered 2x = 5sin 0, after performing the…

A:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by the curves…

A: Cylindrical shell Method : If th eregion between the two curves y=f(x) and y=g(x) and f(x)≥g(x) is…

Q: Limits 8. Find the indicated limit using the graph of f(x) below. , V lim f (x) x-2 =

A: Topic = Limits

Q: (a) IM8 k 서

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: (b) 0.52, 0.34, 18.07 (c) 0.77, 1.08, 16.64 (d) 0.52, 0.34, 20.14

A:

Q: Evaluate the integral. 4π S t² sin(2t) dt

A:

Q: For the function f(x) = -5x, find the difference quotient f(a+h)-f(a) = h f(a+h)-f(a) h

A:

Q: 8 Find the general solution of the differential equation: xy' + y: X Use lower case c for constant…

A:

Q: Find the average value of f(x) = sin³ x cos³x on the interval [0,1].

A: We need to find average value.

Q: 4. Find the exact length of the curve. π x = 5 cos³ 0, y = 5 sin³ 0, 0≤0≤- 2 Write Answer In…

A:

Q: L 2 S 5 + 64

A: Laplace Inverse Transform of  function 5s2+64

Q: P1: Calculate the area bounded by the curves: C. y = e²x and x - 2y + 5 = 0..

A:

Q: soon as posible

A: We will use substitution.

Q: √√9-y² 9 = L Q (2x2) dz dy dx Зг 2. Give the (upper, lower, lateral) boundaries of the solid S of…

A: simple integration are ...

Q: Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c)…

A: Distance between two points x1, y1, z1 and x2, y2, z2 is given by x2-x12+y2-y12+z2-z12.

Q: Find the order and degree of e^y" - 3(y¹)² + 2xy = xe² and write the differential equation in noxmal…

A: Follow the procedure given below.

Q: 3. For the below ordinary differential equation with initial conditions, state the order and…

A:

Q: R is the region bounded by the functions f(x) = and g(x) = -4+. Find the area A of R. Enter an exact…

A:

Q: Test the series for convergence O a. the series diverges O b. the series converges ∞ 3k k-1!

A: We need to evaluate the convergence of the series :

Q: Write the equation in standard form. x 2 + y 2 - 8x - 4y + 12 = 0 ( x - 4) 2 + ( y + 2) 2 = 8 ( x…

A:

Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

A:

Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

A:

Q: Evaluate r5/6 -π/6 2 cos 0 fo² 0 r sin Ødr de.

A: We have to evaluate ∫-π65π6∫02 cos θr sin θ dr dθ.

Q: 2) 2 s² (s²+4) Find L1 transformation. by using the properties of inverse Laplace

A: Given; L-12s2s2+4   As we know from the property of the inverse Laplace transformation.…

Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

A:

Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: L 4s 2 4s² + 1

A:

Q: 2) Sketch the solid whose volume is given by the integral  and evaluate the integral. ∫0 to pi/2 ∫0…

A:

Q: The value of arcsin KIJ 4 O K|6 O KIM R 3 KIN 2 (9) is___

A: SOLUTION-

Q: √9-2³ x² + y² dy dr into a double integral in polar form. TITE f(x, y, z)dV, where f(x, y, z) = x²yz…

A: We can set up the triple integral.

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

A:

Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: Find the area contained between the two curves y = 3x - x² and y=x+x². 71/6 81/5 91/4 62/3 None of…

A:

Q: Evaluate the following determinant by using row-operations. Carefully -1 3 4 -10 -4 A -> -4 -8 9 6…

A: To find the determinant of the given matrix A.

Q: / which of the Following series converge and which diverge? Givereasons for your Answer Σ sechn n=1

A:

Q: Find the area of the region bounded by the curves y = x²y = x² and ² 01/2 02 O 1/3 O 2/3 = xy = x.

A:

Q: Convert the point with polar coordinates 9, 3 The point is: C M 2 3 4 5 6 wend W е t 1 9 C $ % Oll y…

A: Given query is to convert polar to rectangular coordinates.

Q: II. Coefficients Linear in Two Variables 1. (6x-3y+2)dx-(2x-y-1)dy=0 2. (9x-4y+4)dx-(2x-y+1)dy=0

A: We can solve the given differential equation.

Q: Consider the following. Function Line f(x) = x³ 3x-y + 8 = 0 Find the slope of the given line. slope…

A:

Q: If Æ(x) = 2x + 1, find Æ(a + h). 2a + 2h + 1 a + h + 1 2a + 2h + 2 2a + h + 1

A: Here we will find E(a+h),

Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves