17 Evaluate the integral: SERV - dx x²√x² + 25 (A) Which trig substitution is correct for this integral?

Q: Calculate the arc length of y = 9x + 1 as x varies from 0 to 5. S -

A:

Q: Find the center and radius of the circle with the equation  x^2 + 10x + y^2 + 10y -146 = 0 enter…

A:

Q: 1. Approximate the area under the graph of ƒ(x) = x² + 1 from x = −1 to x = 2. a. Sketch the graph…

A:

Q: 1. find the given differential solution, using homogeneous equations with constant coefficients.…

A:

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 Y =…

A:

Q: Q4: A) For each of the following ,find fx fy fex fyy fyx and fxy 2.f(x, y) = sin²(x-3y) 3.f(x,y) =…

A: Solution: The objective is to find the partial derivatives of the given functions

Q: H.W Find the taylor series of the following functions for the given points:- 5- f(x)= a=0 x+2

A:

Q: (d) (sin(x + cos(2x + 3√)))'

A:

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: Given the vector function 7(1)=(31²-1, 1-8√F³, 12t-4), find the speed & arc length of the curve on…

A:

Q: Evaluate the double integral: ¹ sin(x³) Lo Sc vy vy (Hint: Change the order of integration to dy…

A:

Q: Find the values of a and b that make f continuous every ²-4 If x < 2 f(x) = If 2 ≤ x <3 ax² - bx + 3…

A:

Q: H.W find the first four terms of the binomial series for the functions:- 4-(1+¹)¹/² 5-(1+x)*…

A:

Q: F = cos(x) Î+sin(y) ĵ+cos(z) k

A:

Q: xy³ Q3: Let f(x,y)=2x²+y² 1 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point…

A:

Q: cos(bx) sin(bx) dx

A: topic- indefinite integral

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: 7) A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator which is…

A: Given that, A can of soda with a temperature of 56 degrees Fahrenheit is placed in a refrigerator…

Q: 5. Use Cartesian coordinates to evaluate If ₁² dv D where D is the tetrahedron in the first octant…

A:

Q: tan²7x dx

A: SOLUTION-

Q: Find the differential equation of a family of circles, each having its center on the line y = z and…

A: Given : circle having its center on the line y=x and passing through origin

Q: √tanx secox dx

A: Given problem:- ∫√(tanx) sec6x dx

Q: Compute T₂(x) at x = 0.8 for y = et and use a calculator to compute the error |eª — T₂(x)| at x =…

A: We have to find T2(x) and error.

Q: 8. Scoth 2x In (sinh 2x) dx

A:

Q: Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the…

A:

Q: 2. Given the values for f(x) on the table, approximate the area under the graph of f(x) from x = -5…

A: Let's find approximate area under the graph.

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

A: The volume (V) of a solid generated by rotating the region bounded by y=f(x) and the x‐axis on the…

Q: The function A(x) = 0.001x³ -0.02x² +0.12x+0.03 approximates the blood alcohol concentration in a…

A: This question can be solved using the concept of increasing and decreasing function.

Q: -1 7. S. ze³2²–1 dz S² ydy 8. J.2

A:

Q: Exercise (1-3): By Charpit method solve the following PDE Question Answer 2 z=c-xªy¹/a (6) z² = =…

A: Use charpit method

Q: Stan³ x secx dx

A:

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4r = 1 in…

A: Explanation of the answer is as follows

Q: ex e2x + 1 S=² dx

A:

Q: 3) Use L'Hopital's Rule to evaluate and check your answers numerically: (a) lim x→0+ (sina) 1 (b)…

A:

Q: find the given general differential solution, using homogeneous equations with constant…

A:

Q: the point type of the function [f(x,y) = x^2+xy+y^2 +3x-3y+4 ] is Relative Minima O saddle point O…

A:

Q: X 4. f* - 2x² - 6x +1 2 x² - 2x-8 dx

A: We have to find the integral.

Q: ∫ ln(1 + ?2) ?x

A: Let's solve given  integral.  We know there is x instead of ?.

Q: H.W: Evaluate the integral 30 1. [[(x²y = 2xy)dydx 0 (2x- - y)dydx 2m [[(sinx+cosy)dxdy 3. 5. 2. (x…

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

Q: b. 5x-2≤2 X+2 Jawab: Tentukan penyele berikut! a. √6x +1>5

A: 5x-2x+2≤ 2

Q: Suppose y(t) = = √²²= -du. Answer the following. 1 1+u² 9) Determine if y(t) is increasing or…

A:

Q: 13 By direct partial integration, Solve the following PDES s. 8²u ахбу = CEX COSysXu(X,t) Ex UCH, y)…

A:

Q: 1. Find ƒ (x) dx given [² f(x) dx = 2 and ₁² f(x) dx = 3

A:

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: 1) Find the absolute maximum and minimum for function f(x,y)=x²-xy+y²-6y-4, on the domain -4≤x≤2,…

A:

Q: the graphs of y=2x^2 and y=mx -2 intersect at the points A and B. The point B has coordinates (2,8),…

A:

Q: 3) O 4 N

A:

Q: The illustration below shows the graph of y as a function of x. Determine the kind of function…

A: Explanation of the answer is as follows

Q: 1. a. Given the points A(1, 2, 4), B(2, 0, 3), and C(4, 4, 4), i. determine the vector and…

A:

Q: Suppose f'(a) exists for all a in (a, b). Mark all true items with a check. There may be more than…

A: This question can be solved using the concept of continuity and differentiability in an interval.