Find k so that the function f(x)= 2x+5 if x ≤2 kx +1 if x > 2 can be defined so that it will be a continuous function. 08 00 O 2 04

Q: Multivariate Calculus

A: We have to find the region bounded by the curves:x+y=2 ,  x=0 , y=0.Here x+y=2⇒y=2-x⇒y=(2-x)2…

Q: Evaluate the piecewise defined function at the indicated values. if x≤6 6x-3 if x>6 f(x) = 0 - {²x-3…

A:

Q: find the values of k for which the matrix A is invertible

A:

Q: Compare the the planes below to the plane -5x + 5y - 5z = 0. Match the letter corresponding to the…

A:

Q: lim »- oolv 9x²-21x+10 +3x + 3x)

A:

Q: Create 3 exact differential equations and solve for their test for exactness and also solve for…

A: A linear first order differential equation of the form, M(x,y)dx+N(x,y)dy=0 is said to be exact iff…

Q: 3.1. How large should n be to guarantee that the Simpson's Rul approximation to fe-x² dx is accurate…

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 7. 3x² + 8x = 0 8. x²8x + 16 = 0

A:

Q: Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

A:

Q: 1. For the function y = 5x³ - 4x a. Determine the average rate of change between x₁=3 and x₂ = 5. b.…

A:

Q: 3. Let k(x, y) = ex cos(x+2y). For any (x, y) € dom k, evaluate 2k(x, y) + 4ky (x, y) — kxy(x, y) +…

A:

Q: A tank is full of water. Find the work W required to pump the water out of the spout. (Use 9.8 m/s²…

A:

Q: (y) over any 173. 3/2 =(x² + 2)² y= from x = 0 to x = 1

A:

Q: 3 5 -2 4

A: We can find the answer in the below steps.

Q: lim X-→-4+ lim X→→-4² 4x + [[4-x]] 2 3x² + 8x-16 4x + [[ 4-x]] 2 3x² + 8x-16

A:

Q: lim X 11 2 3√ x² + 4 - 5 2x²-15x-77

A:

Q: 3-6 91 -2 7 -2. 015

A:

Q: Which of the following equations is a linear differential equation? (choose all possible answer) A B…

A: A differential equation is called linear if the equation is free from the product of dependent…

Q: Find the vector equation for the line of intersection of the planes 4x + 5y - 4z = -2 and 4x + 2z =…

A:

Q: hi isn't f(-4), not f(4)?

A: we can solve it by the observation of graph.

Q: ) = (x + 3) can be expressed in the form f(g(x)) where f(x)

A: We have to find the function g(x) according to the given information

Q: Q5/ A: Solve the following differential equation by Laplace : dy - 4y = 16 t =-6, y(0) = 3 dx² dy dx

A:

Q: Let x represent the units of labor and y the capital invested in a manufacturing process. When…

A: The solution consists of differentiation of equation with respect to x

Q: If g(x) = sin(x) then g'(x) = = g'(5) =

A:

Q: A cardiac monitor is used to measure the heart rate of a patient after surgery. It compiles the…

A:

Q: Solve the problem. The amount A (in g) remaining of a radioactive substance after time t (in years)…

A:

Q: Find the derivative of f(x)= (428 + 22-1) ⁹.

A:

Q: [200] 020 00 02

A:

Q: Find slope of tangent line F(x)= 3x^2+5x-2

A:

Q: Please answer number 1 letter D, with illustration, complete solution and a conclusion. Thank you!

A: It is given tat to minimize the cost of fencing. The area of land is given 9600  square meter. 13of…

Q: Q3. Use the chain rule method to find dt If (z=x. y), where x = cos (t) and y=sin (t)

A:

Q: Determine f'(a) for a = 2.5, 4, 7. 5 4 L 3 2-1 2 1 2 3 4 5 6 7 8 9 (Give exact answers. Use symbolic…

A: Given

Q: 199. Let f(x) = cotx. Determine the points on the graph of f for 0 < x < 2 where the tangent line(s)…

A:

Q: In a Northwest Washington County, the speeding fines are determined by the formula: F(s) 15(855) +…

A: F(s)=15(s-55)+80

Q: Find a parabola with equation y = ax^2 + bx + c that has slope 10 at x = 1, slop -18 at x = -1 and…

A:

Q: Which of the following is an integrating factor of the differential equation ydx - xdy = 0. d. xy 1…

A:

Q: For the given functions, a. write a formula for fog and g of and find the b. domain and c. range of…

A:

Q: 10. Integrate the Exp./Log. Function (integral calculus)

A:

Q: Given that f(x) = x¹²h(x) h(1) = 3 h'(-1) = 6 Calculate f'(-1). Hint: Use the product rule and the…

A:

Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

A: We can find the composition of the function.

Q: Suppose the position of an object moving in a straight line is given by s(t) = 2t² + 3t+2. Find the…

A: Given:   The position of an object moving in a straight line is given by s(t)=2t2+3t+2 We have to…

Q: Given that f(x)= x² + 5x and g(x) = x -2, find the unsimplified AND simplified versions of the…

A: f(x)=x2+5xg(x)=x-2

Q: what if x approaches the negative infinity?

A:

Q: Find for the following function. dy dx y = 11 2 cos x 1 – sin x

A: The given function is; y=2 cosx/(1-sinx).

Q: Graph of f MA

A:

Q: ) If the matrix A= [4 2 1; 1 5 9; 3 8 7], find: · A' - A(3,1) - size(A) - A(:,2)= [] Inv(A)

A: Given that A=[4 2 1; 1 5 9; 3 8 7] To find in MatLab: A'=? inv(A)=? size(A)=? A(:,2)=[]

Q: Find the solution of the differential equation (x + 3y)dx − xdy = 0. a. 2y - x = Cx³ b. 2y + x = Cx³…

A:

Q: Suppose that lim f(x) = 13 and lim g(x) = -8. Find the following limits. X-7 X-7 a. lim [f(x)g(x)]…

A: Suppose that limx→7 fx=13, and limx→7 gx=-8. To find the following limits.a limx→7 fxgx b limx→7…

Q: 78. Show that the following limit does not exist: xy³ lim (x,y) (0,0) (3x² + 2y³)²

A: Lim(x,y)-(0,0)xy3/(3x2+2y3)2.

Q: Find the horizontal asymptotes of f(x) = 5x2 + 8x 4x² - 9 (Use symbolic notation and fractions where…

A: