1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

Q: Suppose that f(5) = 1, f'(5) = 7, g(5) = -8, and g'(5) = 4. Find the following values. (a) (fg)'(5)…

A:

Q: Which of the following is a non-homogeneous function? O tan³y/x xLnx − xlny x³ − xy + y² 3 2 - (y² +…

A: function f(x, y), if it can be written  by writing x = kx, and y = ky to form a new function f(kx,…

Q: 11. Let g(x) = x² e. Find at which x value(s) does g(x) have a horizontal tangent line? X

A: Given query is to find the value of x where tangent line is horizontal.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=x3-12x

Q: 8 of 8 Find the area of the triangle with vertices P(1,5,-3), Q(0,0,0) and R(4, 6, 1). NOTE: Enter…

A:

Q: 3. A cylinder has a volume of 20x cubic units. Its radius is between 3 and 4 units long. Use the…

A:

Q: 30. If f(t) = sec t, find f"(π/4)

A: Topic- Double derivative of a function. we are given f(t)=sec t and we know that ddtsec t=sec(t)…

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 when x = -1 and y =…

A: We have to find the value of c.

Q: Consider the parallel piped with adjacent edger R² = -2²² + 35²¹ + R²₁ V² = 1² + 3√² + 3K² and W =…

A: We can find area of the face .

Q: Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is…

A:

Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: Given data:- y3+kxy4-2xdx+(3xy2+20x2y3)dy=0

Q: Find the directional derivative of f(x, y) = = direction of Q(2, —2). NOTE: Enter the exact answer.…

A:

Q: So the system of equations by using the inverse of the coefficient matrix if it exists and by the…

A:

Q: Determine the order and degree of the differential equation, 3x- dy4 O A. First order, fourth degree…

A: Topic- Order and degree of differential equation We are given, 3xd4xdy4+5x2d2ydx23-xy=0We know that…

Q: Use the graph of f to determine each of the following. Where applicable, use interval notation. a.…

A: The domain is the set of all possible input x values while the range is the set of all possible…

Q: How long will it take for $1,000 to double if it is invested at 10% annual interest compounded 4…

A: here given data  Principle amount P = $1000 interest rate = 10% compounded 4 time in year

Q: What is th wen f(x) = -x² + 3x − 1 and g(x) = find each. - f(x) -. g(x + 2) 9. State the domain of…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) A. For…

A: Here we have to use the concept of differential equations.

Q: Check if g is continuous at t=0 and t=1. If discontinuous, identify the discontinuity as remova

A: We find left hand limit and right hand limit of g at t=0 &t= 1 respectively. Then check the type…

Q: - Show that the curve y = 5e* + 7x + x5 always has a slope greater than 7.

A:

Q: silver

A:

Q: Which of the following is NOT true about the linearity of differential equations? A. Which of the…

A: Degree of the differential equation is always 1 because if degree is more then 1 then we get product…

Q: Given the vectors à = (2, -1,3), b = PQ where P(1, 1, 1) and Q (5, 1, −1) and Ĉ=i+j+ 3k. Find a)…

A: Given the vectors a→=2, -1, 3, b→=PQ→ where P1, 1, 1 and Q5, 1, -1and c→=i→+j→+3k→.To find 7b→-3c→

Q: 164. A small town in Ohio commissioned an actuarial firm to conduct a study that modeled the rate of…

A: NOTE: Refresh your page if you can't see any equations. . the population(in thousand) of the town…

Q: In Problems 11–18, match each graph to its function. A. Constant function E. Square root function B.…

A: Here we are provided with some function's graph and we have to match them with their function's…

Q: Find the vector component of v = 2i - j + 3k along b = 3i + 6j + 6k and the vector component of v…

A: Given that       v = 2i - j + 3k       b = 3i + 6j + 6k

Q: Describe the end behavior of the given function. 2 P(x)=√11x + 5x² - 3x + 3 What is the end…

A: We have given function  Px=11x3+5x2-3x+3 Comparing this with the equation Px=ax3+bx2+cxd We get,…

Q: Use the Binomial Theorem to expand the binomial (c + 3)5 and express the result in simplified form.

A: Given expression:- c+35

Q: Find the first derivatives. 1. f(1) = (²+1)5 2. f(P)=p³ + 3p²-7P+2 (3.)(1)-41²+11 Vi+1 4. g()= y²-2y…

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

Q: y = x³ + 4x - 15 at x = 0

A:

Q: Question 9 Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y +…

A:

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, y=1x,  Point P-2, -12

Q: Find the gradient of f at the indicated point. f(x, y) = 2x² + 2y¹; (4,2) NOTE: Give your answer in…

A:

Q: If f(x) f'(x) = f'(1) = 2 sin x 3 + cos x 2(1+3 cos(x)) (3 + cos(x))² then

A:

Q: is thrown straight down from the top of a 470-foot building with an initial velocity of -23 feet per…

A: Given query is to find the velocity different points.

Q: Find the derivative of the function. F'(x) F(x) = (4x + 8)³(x² - 5x + 8)4

A:

Q: 4. #x²+x-620, then xs-3 orx 22.

A:

Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy4 + 2y)dx + (2y³ + 2x²y +…

A:

Q: Evaluate the piecewise function at the given values of the independent variable. h(x)= (a) h(3) x² -…

A: The function is given by hx = x2-36x-6if x≠65if x=6 To evaluate: The values of a h3  b h0  c h6

Q: Use the Gauss-Jordan method to solve the following system of equations. 3x + 8y4z = 0 5x - y + 5z =…

A: NOTE: Refresh your page if you can't see any equations. . the system Ax=b is  augmented matrix is

Q: Explain how to use mathematical induction to prove that a statement is true for every positive…

A: Mathematical Induction is a technique for proving certain types of mathematical statements.

Q: What is a suitable integrating factor that can be used to solve the equation dy cos(2x) = 0 O A. OB.…

A: To determine the suitable integrating factor that can be used to solve the equation.xdydx+2y-4xy-e-x…

Q: define power function.

A: Power Function:- A power function also called an exponential function is employed frequently in…

Q: Which of the equations below is a second order nonlinear differential equation? O A. ¹^²x²y — (1 —…

A: We have to find second order non linear differential equation from given options.

Q: Cost of Natural Gas In March 2015, Laclede Gas hadthe following rate schedule for natural gas usage…

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

Q: Show that:

A: Given, nr+nr+1=n+1r+1

Q: Find y'(x). y'(x) = y = √-1 + 2x At what point on the given curve is the tangent line perpendicular…

A: Given query is to find the derivative and the point where slope of tangent is perpendicular to the…

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. B. e3x-3x² 3…

A: Given differential is of the form M+Ndydx=0

Q: 1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x))…

A: This question can be solved using the concept of limits.

Q: Find the 2nd derivative F(x) = 5e^2x F(x)= 3e^-x + 2e^4x

A: