= [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying integration by parts of J, you get : O a) 10 ((23)² e1¹0² +nf (23a)¹-¹ e¹ e10x dx O b) n 10 ((23a)"e10 -nf (23a)"-¹e1¹0z dz) е 00) n-1 10x dx O c) 23¹² 10 (²+²) " e n n-1 e10x dx O d) 30 ( 20" 10² _ n f 2²-1 23" 10 - J

Q: Consider the following system of linear equations: -11x + 3y +-31z 118 -4x + 1y+-11z = 42

A:

Q: Find f'(x). f(x) = = O V 10x - sin²(7x) 1 f'(x) = = 2√/10 - 14cos(7x) 1 f(x) 2√10x - sin² (7x) 10…

A: This question is related to differentiation, We will solve it using given information.

Q: Name the quadrant in which the angle 0 lies sin 0>0, cos 0 >0 The angle 0 lies in which quadrant?

A:

Q: 7. y = (x+1)* 9. y = Inlog, x

A:

Q: Which of the following graphs represents the function () ه کرد 4 f(x) f(x) 2 2x²+2x-12

A: Correct option (c)

Q: Use the formula z = ['(t) x r²(c)]. r²(c), Ir'(t) x r"(t)1² r(t) = 9t, to find the torsion of the…

A:

Q: Which of the following describes the graph of h(x) = -2(x+3)+4? 4 h(x) 2 -6 -5 4 -3 -2 2 3 4 5 10 6…

A:

Q: Explain how there exists an appropriate dot product technique for both Cartesian and Geometric…

A:

Q: Which of the following gives the area of the region enclosed by the line y = -x − 1 and the parabola…

A: The simple diagram then horizontal strip...

Q: Show that the solution y(t) of the initial value problem has the Laplace Transform y" + 2y' - 3y = 6…

A:

Q: In the Figure 1, if Q= 40 N, P = 50 N, and B = 145°, then R is equal to (in N): Figure 1: C R A Q B…

A:

Q: - 6x + 2 on the domain [-7,2]. Find the absolute extrema if they exist, as well as all values of x…

A:

Q: i can't understand the text. can you please write it on the paper? thank you

A:

Q: Find the derivative of f(x) = 2x3 + 12x² +18x + 9. f'(x) =

A: To Find : Derivative of f(x)=2x3+12x2+18x+9     Note that : Derivative of xn is nxn-1

Q: When applying trigonometric substitution in the integral: x5 J S -dx √4x² J is equivalent to: O a) […

A:

Q: Q3. Use the integral test to determine whether the series, n=1 divergent. 1 (n+1)√n+1 is convergent…

A:

Q: 3. Which of the following is the most appropriate technique to use in evaluating (a) Integration…

A:

Q: What is the sloe of the tangent line to the curve x = 3 sin y at the point (0, 2π)? 3. O O ا انت 3…

A: What is the slope of the tangent line to the curve x= 3siny at the point (0,2π) ?

Q: 7. Determine the area bounded by y = x² - 6x + 10, x = 1, x = 5 and the x-axis.

A: Above question is solved.

Q: 6x² - 2x - 1 4x³ X jo dx

A:

Q: The plane x + y + 2z = 12 intersects the paraboloid z = x² + y2 in an ellipse. Find the points on…

A: Suppose the point nearest to origin with the condition that it is not the ellipse that is obtained…

Q: 9. g. lim t-∞ t→-8 6t²+t-5 9-2t²

A:

Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A: Explained below

Q: Q1. Find the inverse of the following matrix by using Gauss-Jordan eliminations 0 1 21 -1 23 12₂₁ +1…

A: Here is the solution

Q: A/If x² (y - 4z) - y²(2x + 3z) + z²(3x - 4y) = xyz Find Zx

A:

Q: 6t²+t-5 9. lim t-∞ 9-2t²

A: lim  (6t2 + t -5)/(9-2t2 ) t -->-∞ here question is of limit  and here we have to divide t2 by…

Q: Find the exact length of the curve. = 3/²/₁ y 1 4x 1 ≤x≤2

A:

Q: Solve the given differential equations: dy x-3 1. dx 2+y²

A: Differential equations

Q: If w = cos(xyz), compute for O-x²yz cos(xyz) - x sin(xyz) -x²yz cos(xyz) + x sin(xyz) O x²yz…

A: This question can be solved using the concept of partial derivatives.

Q: 8. Determine the area bounded by x = -y² + 4y and the y-axis.

A:

Q: Evaluate ㅠ (2) 풍 1 1 5 -dt. t² + 1 (b) ㅠ 24 (c) 쯔3 (d) ㅠ 2

A:

Q: Figure #2 a: I in b: 2.5in C:2.5in Figure #3

A:

Q: Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the…

A:

Q: Evaluate the integral dx fax √2x-x1

A: Given: I=∫dx2x-x2   As we know the common integral; ∫11-x2dx=sin-1x+C

Q: Find the exact length of the curve. y = 9 + ¹ cosh (8x), 0≤x≤7

A: The curve y=9+18cosh8x, 0≤x≤7

Q: 5. The points A(1, 0, 2), B(2, 0, 1) and C(1, 2, k) form a triangle of area √6. Determine the…

A: Follow the procedure given below.

Q: Use differentials to estimate the value of 1.2. Compare the answer to the exact value of 1.2. Round…

A:

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A:

Q: It is your job to design a Ferris Wheel that meets the following parameters. • The bottom of the…

A: We need to find periodic function.

Q: 1. (2xy² + 2y) dx + (2x²y + 2x) dy = 0, 2. + 6x) dx + (In x - 2) dy = 0, x y(1) = 3 y(e) = 1

A:

Q: 1. By using the method of variation of parameters, solve the following differential equation d²y +9y…

A:

Q: Q1: Sketch the signals A. x(t) x(-1/2) A CL x(2(1+2)) x(−1+1) Ates Ades 0 2 B. 2 x(t) 0 1 x (3t),…

A: Given data:- Part A=   Part B

Q: Match each equation with the graph of f, g, h, or k in the figure. (A) y = 6* (B) y = (0.6)* (C) y =…

A:

Q: (b) Given that s² + 16 (S-1)(s+3)(s²+4) Evaluate the values of A, B, C and D. A B Cs + D (s-1) (s+3)…

A:

Q: The graph of the equation x3 + y = 1 is one of a family of curves called astroids because of their…

A:

Q: A ball with mass m kg is thrown upward with initial velocity 20 m/s from the roof of a building 10 m…

A: topic- quadratic equations

Q: 1. f(u) = u³, g(x) = u = 2x¹ + 1 Find (f g)'(-1).

A: Here, the given functions are: f(u)=u3 & g(x)=u=2x4+1 Now, f∘g(x)=f(g(x))⇒f∘g'(x)=f'(g(x))g'(x)…

Q: Find the integration by using substitution method 2 dx x² - 6x + 10

A:

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: Given

Q: Using the technique of substitution with u = -t, the 01 / 2²1-41 des du 70 1 04/2² du ㅠ O -1 za 2²…

A: