7. Evaluate: lim h→0 √9+h-3 h

Q: The function x²y=4+Cy is the solution to the Differential Equation 2y'+xy²=0 Note: C is arbitrary…

A:

Q: Gratio and proportion diameter of x =…

A:

Q: 59. Horizontal; containing the point (-3,2)

A: find an equation for the line with given properties.

Q: At what points is the function y = X 2 x + 5 - 13x + 40 continuous?

A: A rational function is continuous at all the points wherever it is defined.

Q: 2x The function y=x+C₁+C₂e-²x is the solution to the Differential equation y"+y'-2y=1-2x IF TRUE,…

A:

Q: Use the graph of f(x) to evaluate the following: 4 3 1 f(x) 2 + LO X 6 The average rate of change of…

A:

Q: Use the Midpoint Formula to estimate the sales of a certain company in 2005, given the sales in 2003…

A: NOTE: Refresh your page if you can't see any equations. . the given table is  year sales (in…

Q: Rewrite the expression without using the absolute value symbol. |x + 1|   if x ≥ −1     if x < −1

A: The given absolute value x+1 we have to rewrite the expression without using absolute symbol.

Q: - - Find the cross product (-2i - j + k) × (3i − j − k). Answer:

A:

Q: 7. Calculate the Present Value of the investment described in the table. Compounding Period Time…

A:

Q: Ex: Find the distance between the pt G(4₁-4,4) and the line x=2t₁ y=Z-3, z = at +2₂

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: the options are left, up, right, down

A: Here we have to choose the correct option.

Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

A:

Q: Find the projection uy = (x, y) of u = (6, -7) along v = (1,2). (Use symbolic notation and fractions…

A: Topic - Projection of vector Projection of vector u along v=u.vv2v

Q: Rearrange this expression into quadratic form, ax² + bx + c = 0, and identify the values of a, b,…

A:

Q: Q. 1. a) Find the area of the region enclosed by the curve y = x² -2 and by the line y = 2. y=x²-2…

A:

Q: Find the domain of the rational function.

A:

Q: EXAMPLE 6 Using the second-derivative test Use the second-derivative test to determine whether each…

A: Given Equation: f(x)=3x5-5x3+2

Q: Differentiate the following expressions and saveit under the given variables. 1. yp1 = 2. yp2 3. yp3…

A: Here is the required solution:

Q: In Exercises 1-8, find the domain D of the function. Give your answer in interval no X 1. f(x) = 3x³…

A:

Q: Find the limit. lim √x+15 cos (x+4) X→-4t lim √x+15 cos (x + 4) = X--4t (Type an exact answer, using…

A: We need to find the limit of the given function as x approaches the value -4π. For all x≥ -15 the…

Q: 7. A traditional first experiment in a physics laboratory is to make 98 observations ab records the…

A: Given formula for linear regression is as below  take t as x and h as y. find mean value

Q: 3) f(x) = 2x² + 4x Find a) f(3) b) f(x - 1) c) f(a+h)-f(a)

A:

Q: Evaluate the piecewise defined function at the indicated values. f(x) = 3 if x ≤ 5 5x −…

A: Given function  f(x)=3if x≤55x − 6if x&gt;5To Find: function value at  f(−6)   = f(0)   =     f(5)…

Q: A water storage tank for crop irrigation holds 800 gallons of water, and has been draining from the…

A:

Q: -1 If cot (sin-¹ √√1-x²) = sin (tan¯'(x√6)), x ±0 then the value of x is.......

A:

Q: 3x+5 2x-7 a) Find the Limit of f(x) as x approaches positive infinity. Give the exact answer as a…

A:

Q: the properties of the cross product to ma following calculations. (a) ((j + k) × j) × k = (b) (i +…

A: We will find the required.

Q: Evaluate sin 3x cos 5x dx.

A:

Q: The usual estimate that each human-year corresponds to 7 dog-years is not very accurate for young…

A: The function for dog-years is given as , fx=10.5x ,                0≤x≤221+4x-2 ,     x&gt;2  where…

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

A:

Q: (b) y = √2-3x

A: y=2-3x

Q: If x=log b5 and y= log b2, express log 50 in terms of x and y. log +50= (Simplify your answer.)

A: Given query is to express logarithmic term as x and y.

Q: When a business sells an item, it receives the price paid by the consumer (this is normally greater…

A: We need to answer revenue and cost model.

Q: في Lim X-1 X1 X²-1

A: Hint : Factorise denominator

Q: Calculate the cross product assuming that = (-2, -8, -2) u x w = (4u − w) × w = (100)

A:

Q: Find P.S. of y (2x²-xy + ²) dx -x ² (2x-1) dy=0 4 = 1/2 when x=/

A: The given Initial value problem is y2x2-xy+y2dx-x22x-1dy=0 when x=1, y=12. Let's check the given…

Q: Evaluate the line integral r(t) = (sin t, cos t, t), F · dr, where F(x, y, z) = −3xi + 2yj + 4zk and…

A: Given:- Fx,y,z=-3xi+2yj+4zk rt=sint,cost,t To find:- ∫cF.dr , where c is given vector rt ,0≤t≤3π2

Q: Find an equation for the tangent line to the graph of the given function at ( – 5,32). - f(x)=x² +7…

A: Given query is to find equation of the tangent line.

Q: Find a vector parametric equation (t) for the line through the points P = (1, −4) and Q = (−2, −9).

A:

Q: A) 2xe-x(x + 2) 30) u(1) = 2, u '(1) = -7, v(1) = 7, v '(1) = -3. d at x = 1 dx u B) 2xe-X(2-x)…

A:

Q: Find the exact value of the expression for the given value of 0. Do not use a calculator. COS COS ()…

A: Given that  : theta= 7π/4 and we find the value of cos(theta/2).   We know that : cos(2π-x)= cos(x).…

Q: 6.5+ (y)² = [3z³y² + (y")³14/3

A:

Q: 13. If f is a continuously differentiable real-valued function defined on the open interval (-1, 4)…

A:

Q: H] Example: If an amount of $5000 is invested at 3% compounded quarterly, what is the amount after 3…

A: Note:- since part f incomplete to find value of x we need equations of revenue function and cost…

Q: 9. State the domain of [fogl(x) for f(x)=√x - 2 and g(x) = 3x.

A:

Q: Fitness Tara has decided to start a walking program initial walking time is 5 minutes. She plans to…

A: Topic:- algebra

Q: 1. f(x) = (x+4)² 2. f(x)=√x +3 +40 CHI

A: 1. Parent fuction will bef(x) =xto understand better I have drawn the graph using online tool (will…

Q: Express the following functions in the form utiv • f(Z) = ln (1+z) P

A: