lim x approaches 0 (e3x-3x-1)/x2

Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…

A:

Q: □ Solve the following ODES by Undetermined Coeff. ● 4X y - 16 y = 19.2 e + 60 e ₂ y(a) = Y(u) = 4X…

A: To find out the solution using undetermined coefficients.

Q: > In the following figures, solve for x. Complete parts (a) through (c) below. a. a. Solve for x.…

A:

Q: 10. S 1 √√x+ ³√x dx

A:

Q: 9 -25 -49 + 8 = 2*+* 3X 2X - 2X Ans: y = c + czxe + cze L 25 -3X e + x + x + ½

A: See this solution in below

Q: 3 Evaluate: S(5x¹2x³ + 3x − 4)dx -

A:

Q: Find the period for the graph y = 3T 3T 4 12 T 3 2 ㅠ 3 cot 3x + 품

A: We can find the answer as below.

Q: For the function f(x)=e* + ex, prove that the arc length on any interval has the same value as the…

A:

Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

A:

Q: Given the initial value problem 2 y y' + = 0, y(0) = 28, y'(0) = b, 5 25 Find the solution as a…

A:

Q: Let f(x) = (x - 11)3/5. Find the critical points c that correspond to local minima. (Use symbolic…

A: topic - critical points , Local extrema and points of inflection

Q: You want to buy a triangular lot measuring 1360 feet by 1880 feet by 2430 feet. The price of the…

A:

Q: thank you! Trying to figure out why the final answer was 'near -542.2258964609'

A:

Q: Let f(x) = (x²-5)e¯* (x > 0). Find the critical points c that correspond to local minima. (Use…

A:

Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A:

Q: 7πT 6' expressions, or decimals to at least one decimal place. (x, y, z) = Convert the point (p, 0,…

A: x=ρ.sinϕ.cosθy=ρ.sinϕ.sinθz=ρ.cosϕ

Q: 11. Solve the problem with given initial value. 9y’’-12y’+4y=0, y(0)=2, y’(0)=-1 theme: repeated…

A:

Q: Your broker has suggested that you diversify your investments by splitting your portfolio among…

A:

Q: 4. The region bounded by the parabola y = x² and the line y = 2x in the first quadrant is revolved…

A:

Q: Find the solution of the given initial value problem: y(4) + 2y"+y = 3t + 4; y(0) = y′(0) = 0, y″(0)…

A:

Q: Find the length of the curve r(t) = (cos(3t), sin(3t), 4t) for -6 ≤ t ≤ 5 Give your answer to two…

A:

Q: 3. Evaluate S dA where R is the region between y = 2x and y² = x³ lying to the R left of x = 1.

A: Let's evaluate double integral.

Q: 11) Find the first derivative of y = (lnx) 4

A:

Q: use taylors formula to find the cubic approximation to f(x,y)=sin(6x+y) near the origin

A: Given Function,fx, y = sin 6x + y

Q: 3. Answer the following about the function f(z)= 42³-4-500. Justify all your answers. (a) Find all…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (True/False) Two lines in three-dimensional space parallel to a plane are parallel to one another.

A: Given that  Is two lines in three dimensional space parallel to a plane are parallel to each…

Q: Current Attempt in Progress Let a = ci + j and b = 7i+ 49j. Find c so that a and b are orthogonal. C…

A:

Q: QUESTION 1 Find the absolute maximum and minimum values of the function in the given interval. Use…

A: This is a problem related to maxima and minima of the function. please follow the procedure given…

Q: (True/False) For any three-dimensional vectors u and 7, we have u x vx u.

A: The given statement is true.

Q: Let P(n) be the statement. n is a multiple of 3 and Q(n) be the statement. n is a multiple of 5.…

A: We have to find the true statement.

Q: Evaluate each of the following limits a) lim 5x²-11 2-3 2-1 b) lim ²-2x-8 x-4 x-4

A: a). The given limit is: limx→35x2-11x-1

Q: Choose the correct value of derivative. d dx x+1 X () is equal to (Hint: Look at the note of section…

A:

Q: 0 6. Consider the equation 2³-1-3x, which has a unique root between x = and = 1. Apply Newton's…

A:

Q: Find a particular solution of the indicated linear system that satisfies the initial conditions x₁…

A:

Q: Consider the following equation. y Find any intercepts. (If an answer does not exist, enter DNE.)…

A:

Q: Find the gradient of the function at the given point. Function Point f(x, y, z) = x² + y² + z² (8,…

A:

Q: To find the distance between a point X and an inaccessible point Z, a line segment XY is…

A: Given   In △XYZm∠Y=34°,18'm∠Z=94°,48'and z=961 m

Q: ax²+bx+c whose graph has an x-intercept of 1, a y-intercept of -4, and a tangent line with a slope…

A:

Q: 1 2. S- 9y²+64 dy

A:

Q: Find the missing values by solving the parallelogram shown in the figure. (The lengths of the…

A:

Q: Find power series for the following functions x 1- (2x)4

A:

Q: Use the sum-to-product formulas to find the exact value of the expression. 5-2 sin 3 2 sin in

A: We can find the answer as below using the sum to product formula.

Q: A charge to rent a saw per day or a fraction of a day Fixed Cost $5 variable cost $10 1 1/3 = 2…

A: We have to find the total cost for 113 days.

Q: Complete the table of function values. Do not use a calculator or tables. Evaluate the six…

A: NOTE: Refresh your page if you can't see any equations. . The first 3 rows are absolutely correct.…

Q: Show that the following function is decreasing on [1, +∞)

A: Let, f(n)=2-nn Now, to find f'(n) using the quotient rule for derivative…

Q: Solve the following ODES by Inverse Operator method. 2X -X • (D²³+1) y = 3 + 2*² + 5 € Ans : y = C₁…

A:

Q: Find the curvature of the curve (t) Give your answer to 2 decimal places. = (4t, t², -5t4) at the…

A:

Q: 6 By power series method, Solve the following ODES? (2+x)=y ans: y = a. (1 + 1/2 X)

A: A detailed solution is given below

Q: Use the Law of Cosines to solve the triangle. Round your answers to two decimal places. A= B= C= b=5…

A:

Q: a) Determine the symmetric equations for the line through P(5, 6, 10) and parallel to the line with…

A: Given that the line passes through the point P(5,6,10) and parallel to the vector r= (6,1,1)+…