4. Find the following information using the points ( 4, 2) and (7, 10). a) Find the slope of the line that passes through the given points. b) Find the standard form of the equation of the line. c) Find the slope-intercept form of the equation of the line.

Q: Select the correct answer. Rewrite cos2 67.5° – sin? 67.5° using a double-angle identity. O A. cos 1...

A: Please refer the attached image for complete solution.

Q: Prove that cos x is not a periodic function.

A: prove that cos(x2) is not a periodic function

Q: A 50-m-long chain hangs vertically from a cylinder attached to a winch. Assume there is no friction ...

A: Here we have to find the work done in moving the entire chain.

Q: A rectangular page is to contain 8 square inches of print. The margins at the top and bottom of the ...

A:

Q: A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular co...

A:

Q: (x)e»

A: We are asked to check homogeneity of the function.  

Q: Consider the following graph on the interval – 180° < x < 255°: 30 60 90 120 150 180 210 240 -150-12...

A:

Q: A bucket of height 8 cm and made up of copper sheetis in the form of frustum of a right circular con...

A: given :  

Q: Categorize the trigonometric functions as positive or negative. 41x tan g 17x COS 10 47x tan 36 13x ...

A:

Q: Suppose that f(x + h) – f(x) -2h(x + 3) – h? h(x + h + 3)²(x + 3)² Find the slope m of the tangent l...

A:

Q: use the disk method to find the volume (in units^3) when the regionbounded by the curves x+y=5, x=0,...

A:

Q: 6. Select the correct answer. What is the right triangle definition of tand? O A. opposite adjacent ...

A:

Q: Find the following limit. Is the function continuous at the point being approached? lim sec (y sec?y...

A:

Q: The hypotenuse of a right triangle is 6 inches, and the side opposite to z8, one of the non-right an...

A:

Q: X-1 dx Jo x2+3x+2

A: Here we have to evaluate I=∫01x-1x2+3x+2dx

Q: Each of the two triplets of numbers log a, log b, log c; log a - log 2b, log 2b - log 3c, log 3c - l...

A:

Q: If y,, y2 are two solutions of the differential equation- 2 +P(x),y=DQ(x), dx Thenprove that Y3DY, +...

A:

Q: k+ cos lx -64. Find all values of k and l such that lim %3D x2 NOTE: Select the number of solutions,...

A:

Q: 1. lim (i(x) + j(x)) 2. lim (i(r)j(x)) 3. lim 2 h(x)

A:

Q: Pue 11:59 tonight dy%3Jg cas Vg dx du= dy. dx 11

A: Given the differential equationdydx=18ycos2(y)

Q: at is the pressure on a horizontal surface with an area of 6 m? that is 9 m underwater? Use 1000 kg/...

A:

Q: Savita and Hamida are friends.What is the probability that both will have (i) The same birthday ? (i...

A:  

Q: Evaluate : [(x Vx? +1) dx.

A:

Q: 6. Find the derivative of f(x) = V(2 + 3x) (5x² – 3)f. 7, Given xy + 2y = y, find y' in terms of x a...

A: Differentiate wrt x For all parts solution please repost question again

Q: (2y -+ cos 3x)y' +– 4x³ + 3y sin 3x = 0 + cos 3x)y' + - 4x3 + 3y sin 3x = 0 %3D

A:

Q: Enter the mode of the following dataset: 14, 14, 14, 22, 22, 4, 18, 16, 10 Ex: 1

A: Given data is: 14, 14, 14, 22, 22, 4, 18, 16, 10

Q: 1. Suppose f(r) is a continuous function on r € [a, b]. Prove f(x)dr < S°S(x)| dx.

A:

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

A:

Q: Assuming that a 350-foot tall giant redwood grows vertically, if I walk a certain distance from the ...

A:

Q: An open box is to be made from a twenty-four-inch by twenty-four-inch square piece of material by cu...

A:

Q: For which values of t is the parametric curve x=8t, y=t+t, -0c0s ts 00 concave up? (Enter your answe...

A:

Q: Evaluate : ((x + Vx² +1) dx.

A: To find ∫x+x2+1ndx

Q: Q3) Find: (1) lim, V1+cos 2x (2) lim-2 (x+ 2) 14-x2

A:

Q: If the roots of the equation a(b – c)x² +b(c - a)x + c (a - b)=0 are equal, show that 1 1 2_1. ==+-:...

A: If  ax2 + bx + c = 0 be any quadratic equation then   Roots of quadratic equation are equal if     =...

Q: 5-3x 5-2x Verify if f(x) = and g(x) = 2 are inverses. 3 %3D

A: Here we have to verify the given function are inverse of each other,  We have, f(x)=5-3x2 and g(x)=5...

Q: Maximum Revenue When a wholesaler sold a product at $50 per unit, sales were 260 units per week. Aft...

A:

Q: How many modes does the following dataset have? 17, 20, 27, 7, 7, 7, 7, 16 Ex: 5 Enter each mode. En...

A: To find the mode value, put the numbers in order. Then count how many of each number appears most of...

Q: Consider the curve defined as r(t) = e^ti + e^tj + t k Determine the point on the curve where the no...

A:

Q: .2 Evaluate : x + Vx+1 dx.

A: The given integral is: ∫x+x2+1n dx To find the value of integration.

Q: Solve: Y + log y =(log y). +의logy-(logy). dx x

A:

Q: 8 Find an equation for the tangent line to the graph of y = (x° - 9x) at the point (- 3,0). ..... Th...

A: A detailed solution is given below

Q: Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x2 Find #(x+ a) - Н(х) a 2x + a a a? + 2x

A: The given functions are,F(x)=2x-1;  G(x)=3x+2; H(x)=x2

Q: Consider the following graph on the interval – 180° < r < 255°: -

A: The graph is of the cosine function.

Q: n Evaluate : + Vx² +1) dx. x +

A: In this question we will use basic of calculus i.e concept of integration. We will use properties of...

Q: Find the differential equation for the following families of curves. 1. All circles. 2. Horizontal e...

A: This question is based on application of differential equation.

Q: 6. The Cartesian equation of the curve r=- is 1-cos(0) (Write your answer in the follo

A: Given:   r = 6/( 1 - cos θ)

Q: r2%3D16 sin 20

A:

Q: Find the limit

A: By using , limθ→0sinθθ=1