Evaluate each limit or state it does not exist a) lim 6x²-5x-1 x →1 2x² - x - 1 b). x²³_8 lim X-2 X-2

Q: Q2: Find dy/dx for the following functions:- (1) y = x³ Inx (2) y=√sinh √tan x (4) y=u=3x²-2 (3) 4x²…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Find the angle between in the two planes a = (1,2,3)and b =(4,-5,6)

A:

Q: 41. How close to -3 do we have to take x so that 1 (x + 3)4 > 10,000

A: See this solution in below.

Q: (1³7). (a) If Q is the point (x, sin(¹37)), find the slope of the secant line PQ (correct to four…

A: We have to find the values  of slope at given value of x.

Q: Compute the indicated value of the given function 1. f(x) = 3x + 5; ƒ(0), f(-1), f(2) 2. f(t) = (2t…

A: Function

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

A:

Q: Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H…

A: We have to find the relationship between area of 4 part of quadrilateral.

Q: Q10.IN R², let A(0,2), B(2,2),C(4,0),D(0,0). Then the quadrilateral ABCD is a: A) convex set B)…

A:

Q: For the homogeneous equation (y² + 2xy) dx -x²dy = 0, which is a better substitute: letx=vyory=vx?…

A: The given equation is; (y2+2xy)dx -x2dy=0.

Q: Find the domain and range of: 1) y = 區 2) y =√1-x², 3) y = x² - 2

A: See this solution in below.

Q: Which of the following equation is a variable separable DE? 1. (x+x2y)=dy=(2x+xy2)dx…

A: Ode

Q: lim x² = 0

A: We can prove the statement in the below steps.

Q: fe* cos (2x) dx A. B. C. D. 2e* sin(x) + 2e* cos(x) + C 2 2 ex sin(x) ex cos(x) 2 2 2 ex sin(2x) ex…

A:

Q: x²y = 1 + cx

A:

Q: Q4: Solve the following integrals:- (1) S x3-2x2 dx (2) √ √² √9-x² (3) [ xả sin xdx (cos-¹4x)…

A:

Q: 3 fcsc13 |csc13 x cot® xdæ

A:

Q: (cos-14x)2 √1-16x² 5) S (t) - dx

A: To find out the integration.

Q: Use the Intermediate Value Theorem to show that the following equation has at least one nonzero…

A: Given That,  Sec(2x)= 3^x

Q: Financial planners suggest a monthly budget similar to that shown in the pie chart below.1 Use the…

A:

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

A:

Q: grow art thrive, eventually reprodur the population. (+/24) 10" ³ = 1×2⁰

A:

Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

A:

Q: 2+2x-1 dx x³-x

A:

Q: Let u(t)=9t³i + (t²-1)j- 4k. Compute the derivative of the following function. u (tª - 2t) Select…

A:

Q: Integrate on both sides of the equation. 3 y 1+2y dy X 2 dx

A:

Q: Suppose the quantity (in grams) of a radioactive substance present at time t is Q(t) = 38,416…

A:

Q: The side of a cube is 11 m with a possible error of 0.02 m. Use differentials to approximate the…

A: Given that the side of the cube is s=11 m with possible error =0.02 mSolution :volume of the cube…

Q: Eliminate the arbitrary constant. 2x -X y=c₁e + c e 1 2 A B с D y" y'- 2x=0 y"-y'- 2y=0 2y"-y-2x=0…

A:

Q: Find the differential equation by eliminating the arbitrary constant/s. 1. ecosx = c(1-cosy)-¹

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Which differential equation follows the form y'+p(x)y=q(x)? A (В E dy dx dy 4-+y=6x dx - 3xy=4y² dx…

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

Q: fcos (x) sin(x) dx

A: We need to find out the integration of the given integrand.

Q: 3) If the bisection method is used to solve the equation 3x²=e* in [3.5,4] then the value of c, is…

A:

Q: 4. Given f(x) = x² +3 and g(x) = -3x + 11, find the following a. f(g(3))

A: Concept: Composition of function: A function is composed when two functions, f and g, are used to…

Q: A. by extracting square roots. 1. x2 = 169 4. (x - 2)² = 16

A: Answer (4) We have to solve by extracting square roots (x - 2)2  = 16

Q: [x + y) dy = (x - y) dx x²

A: We need to solve D.E.

Q: Q3) (E.G.) If BAC is an angle such that B=(1,2,3) and E=(2,1,3) are belonging to one side of the…

A: According to the Bartleby guidelines, I'm answering the first question for you. Please re-post the…

Q: how is it possible to solve for the domain of f(x)=4x+x^2?

A:

Q: Prove that B (xX+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) = ХГ (Х)

A: We have the formula for beta function interms of gamma function is that B(m,n)=Γ(m)Γ(n)Γ(m+n)As we…

Q: Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x+4y+9z = 6

A:

Q: 3. Sketch the graph of the function y = f(x)=√4-x². Find the domain and f(x) of the function

A:

Q: Find the standard form of a circle given the following conditions. Sketch the graph. 1. x²+y²-25=0…

A:

Q: 2. Eliminate the arbitrary constants of the equation below, where ß is a parameter. 4 x = C₁eßt + C₂…

A: To find- Eliminate the arbitrary constants of the equation below, where β is a parameter. x = c1eβt…

Q: Define as the region bounded by the functions u(y) = 2 and v(y) around the y-axis, what is the…

A: The region Q is bounded by the function u(y)=2 and vy=y24 between y=1 and y=2 The solid formed by…

Q: 3.Find the differential equations for each familyof curves under the following conditions:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 1. t. Determine the order of each of the following differential equations, and state whether it is…

A:

Q: 3. If the derivatives of h with respect to U; for h=²u

A:

Q: Find an equation for the tangent line to the curve f(x) = x³ at the point (-2, - 8). Then choose the…

A:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: The point P(1, 0) lies on the curve y = sin( (a) If Q is the point (x, sin(¹3″ )), find the slope of…

A:

Q: Find c such that the function x ≤ c { is continuous everywhere. f(x) = x² - 3 X 6x 12 x > c -

A: