Answer

Q: Find the value of the constant c that makes the following function continuous on (-∞o, ∞o). if s €…

A:

Q: 3. lim_ log₂ (x) x-15 4. lim (cos(x)-1)

A: answer 3 and 4 only Given :3.limx→15log2x4.limx→0cosx-1x

Q: What is the total weight of the four cars in the table? Enter your answer in the box. kg Car 1 Car 2…

A:

Q: 4 4 DA. [(4-y) dy + f(y) 0 0 D 2 4 B. [(y) dy + f(4-y) dy 0 2 Oc. (y) dy 2 4 (4-y) dy+ (y) dy So 2 0…

A: Given,

Q: dy Find when y= dx (a) (c) ax² √bx+c abx² + 4acx (bx + c) √bx + c 3bx² - ax (bx + c) √bx+c :, where…

A:

Q: 2 11. S ² | x - √x |dx 0

A:

Q: Find y' and y". y' = y" = y = cos(x²)

A:

Q: π/2 π/3 esec 2 x (sec 2x)(tan 2.x)dx

A:

Q: Find given the set of parametric equations dy dx x = csc² (at) and y = cot(at), (a) — cot(at) 1 (c)…

A: The objective of the question is determine derivative by help of parametric equations.

Q: A railroad bridge in one city has a low clearance for trucks. An engineer standing 23 ft away…

A:

Q: =O 2. (6x+y²) dx + (2xy-3y²) dy

A: Given differential equation, (6x+y²)dx+(2xy-3y²)dy=0...(i) Comparing (i) with Mdx+Ndy=0 we get,…

Q: 3. xlny + ylnx = 1 a. y = y = x Y + x x² In x-y y² ln y - x y' = O b. xlny + y yylnx+x ( 21 x y = y…

A: Given,

Q: Given the following functions, find and simplify (f-g)(7.5). Provide your answer below: 7.5)…

A:

Q: Find the value of the constant m that makes the following function continuous on (-∞0, ∞o). mx - 13…

A:

Q: (3y² + 5x²) dx + 2xy dy = 0

A: Solution

Q: A differentiable function f(x, y) has the property that f(4,3) = 6 and fx (4,3) = 6 and fy(4, 3) =…

A: We need to find z.

Q: 4 ✓ y= √4-x² (Equation of a semi-circle) c) 2 Find the (using calculus). in quadrant I (QI) a) setup…

A:

Q: The revenue per month earned by the Couture clothing chain at time t is R(t) = N(t)S(t), where N(t)…

A:

Q: Find the area of a triangle with the given measurements. Round to 1 decimal place. B=99.1°, a= 10.3…

A:

Q: Find the third derivative of f(x)=^3sqrt(9x+1)

A:

Q: Evaluate L{(t− 2)³ H(t − 2)}.

A: `LHt-2t-23Use Laplace Transform table:   LHt-cft=e-csLft+cFor t-23Ht-2:  ft=t-23,…

Q: (4) Find the integral I = J (x³ - 7x² + 14x − 8)dx. Explain why this is not the same as the area you…

A:

Q: Find the length of the curve for r(t) = (2t, 3 cos t, 3 sin t), for 0 ≤t≤ 2.

A:

Q: The region bounded by the curves y²= 8x and 2y = x ³ is revolved about the line y=-1. Find the…

A:

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A:

Q: Given: f(x) = x² + 5x + 4 and g(x) = x + 1. Solve for f(2) g(1) 3 07 18 O(E)

A:

Q: Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the…

A:

Q: d²y dx² x = csc² (at) and y = cot(at), Find given the set of parametric equations (a) -tan² (at)…

A: Solution )

Q: Let f(x) = 3√√x If g(x) is the graph of f(x) shifted down 4 units and left 3 units, write a formula…

A:

Q: 7) Write the algebraic representation for the given piecewise function, using function notation. (…

A: When x≤1f(x) is the upward parabola with vertex (0,-2)

Q: -3 -110 lim g(x) = x→2- lim g(x) →2+ = lim g(x) = = x→2

A:

Q: A Cepheid variable star is a star whose brightness alternately increases and decreases. For a…

A: Given, B(t)=3.0+0.25sin2πt5.2

Q: To find lim 1 + 12n² divide the numerator and denominator by the highest power of n that occurs in…

A:

Q: Degree 4; zeros: 5-2 i: -3 multiplicity 2 a represent the leading coefficient. The polynomial is…

A: Given query is to find the polynomial.

Q: Given the graphs of f(z) and g(z) below, find the composition of functions f(g(0)) g(x) 18 16 14/ 12…

A:

Q: The point P(25, 9) lies on the curve y = √+4. If Q is the point (x, √x + 4), find the slope of the…

A: given y=x+4

Q: If z = xy² and x = e sin(t), find the following derivative using the chain rule. Enter your answer…

A:

Q: Let z дz ?x дz ду = = Gexy³. Then:

A:

Q: iderivatives) Find the antiderivatives of the following functions: f(x)=x²-²/+³ f(x) = e-2x - e-…

A: Note:- According to the company policy we are supposed to solve only three subparts so please upload…

Q: Solve ABC subject to the given conditions. A 10.5°, C 97.1°, b=62 Part: 0/3 Part 1 of 3 B 11 O X $

A:

Q: 5. Rewrite the expression as an algebraic expression in x X ~(-)). H=3 |x|≤3 (a) cos sin

A: Given:- cossin-1x3

Q: 1/2 4x³ 4x-3 5. S₁13 +2 -2 X - X dx

A: Let's solve given integration.

Q: Directions: Consider the following function f(x). Part 1 - Difference Quotient If h = 0, then the…

A:

Q: 0 -2 ex+1 dx 7- ex+1

A: Given query is to find the value of the integral.

Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: FIND THE eq of targeNT ед F(x) = (x² + 1)(x²³-1) at x = 1

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (x + y + 1) dx + (2x + 2y + 1) dy = 0 Give the: a. homogeneity b. degree c. reducible…

A:

Q: Suppose that the fish population P(t) in a lake is attacked by a disease (such as human being who…

A: Given data:- According to the question, the birth rate of the fish population is zero and the fish…

Q: Find the point of diminishing returns (xy) for the function R(X), where R(xX) represents revenue (in…

A:

Q: original variable. (4)/2√2-1 (a) y³ (b) √ (y² + 1)³ dx dy (c) (d) [²v S Cπ/2 ¹ √1+e-x ex π/4 cotx dx…

A: The objective of the question is evaluate the indefinite integrals .