Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin (0, 0). Fill in the blanks in parts (a) and (b). (a) How many tangent lines to the graph of y = x -7 x+ 49 pass through the origin (0, 0)? (Please input a number, not the word for the number.) The number of tangent lines that pass through (0, 0) is (b) List the slope-intercept form for the equation(s) of the tangent line(s) to the graph of y =x -7 x+49 that pass through (0, 0). Please put a comma between multiple equations, if needed. If there are no tangent lines that pass through (0, 0). then enter NONE. The equation(s) of the tangent lines that pass through (0, 0) is/are.

Q: An object moves along the a-axis, its position at each time t > 0 is given by æ(t) = t" 3 4 +t. Dete...

A:

Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

A:

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

A:

Q: Since 3 (k + 1)³/3k+1 (1+ ±)* 1 lim k→+∞ lim k→+∞ 3 3 the series (converges/diverges/inconclusive) b...

A:

Q: Find an arc length parameterization of the given two-dimensional curve and give the corresponding ve...

A: Given problem:- Find an arc length parameterization of the given two-dimensional curve and give the ...

Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

A: As per bartleby guidelines we only give first question answers with subpart.

Q: 3. Let A C B. Which of the following statements is/are true? a. AnB CA b. AUB CB c. A\B is a singlet...

A: Topic  -   set and subset 

Q: If the relationship between Y and X is negative (as X increases Y decreases), then there are more po...

A:

Q: n hired at a new job selling jewelry, you are given two pay options: on A: Base salary of $15,000 a ...

A: Given query is to find the amount of sale so the option A will be batter 

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A:

Q: a. f(x)=eX+_11 1+x2 F(x)= b. r(t)=t(12t+8) R(t)= c. h(m)=2mª+4m3-m m3 where m>0 H(m)= d. s(y)=2Y+4si...

A:

Q: Graph the function y = 9 – 3cos(50rt) without a calculator starting at t = 0.

A: In order to get the exact graph of the function y=9-3cos(50πt) some points for which calculator is n...

Q: Use technology to evaluate the given expression. Take 1.5 7.9 1.4 -2.32 5.4 and B = 5.8 0 A = \ 44.4...

A: A=1.4-2.325.444.4012.8AT=1.444.4-2.3205.412.8B=1.57.95.805.46.94.2B=4.2×1.54.2×7.94.2×5.84.2×04.2×5....

Q: Let f(r) 13 + 62 . Then for r <- f() 3 %3D The left-hand derivative of f(r) at z is The right-hand d...

A: The given function,    f(x)=3+6x

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then di...

Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: 2. Viola drives 170 meters up a hill that makes an angle of 6° with the horizontal. To the nearest t...

A:

Q: 2. Let r+1 I <-1 f(x) = { 2– Vr² + 7 [3r – 4] r 2-1 Determine if lim f(x) exists. r+-1

A: Find left and right hand limit and using L hospital rule. (Indeterminate form)  Since left and right...

Q: dx Evaluate f- using trigonometric substitution x²(2+x²)

A:

Q: Select all that apply. Solve the following equation; domain 0° sx< 360°; sin?x - 7 sin x = 0 O 90 18...

A:

Q: Determine the intervals of continuity for the following function. AY 5- 4- 3- 2- 14 0+ 1. 2 3 4 6. 5

A:

Q: Find the minimum and maximum of f(x, y, z) = y + 5z subject to two constraints, 2x + z = 4 and x² + ...

A:

Q: Estimate f′(2) for f(x)=6^x. Be sure your answer is accurate to within 0.1 of the actual value

A:

Q: x (4 y dæ + 2 x dy) + y (3 y dæ + 5 x dy) = 0

A:

Q: TRUE or FALSE 1. The co-vertices are on the hyperbola. 2. An ellipse contains its co-vertices. PL...

A:

Q: (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if there is no ma...

A: Topic:- application of derivatives

Q: 7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your ans...

A: Given that Inequality gx=9x5+9x4-25x3-25x2&lt;0Solution :9x5+9x4-25x3-25x2&lt;0x29x3+9x2-25x-25&lt;0...

Q: 3) Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She...

A:

Q: f(2) Suppose that the limit value of: lim a , what does imply? g() O a. A limit exist. O b. The nume...

A:

Q: (2xye(x^2)y+y2ex(y^2)+1)dx+(x2e(x^2)y+2xyex(y^2)-2y)dy=0

A:

Q: What is the y-intercept of the function y = cot I? || ㅇ(T,0) O (0,0) O (1,0) (0, 1) O It does not ha...

A: The function is given as y=cot(x) The objective is to find the y-intercept.

Q: Let H(x)=F(G(x)) and J(x)=F(x)/G(x) Suppose F(2)=8, F′(2)=−6  G(2)=10, G′(2)=−4 G(1)=2, G′(1)=6  H′...

A:

Q: Coffee is draining from a conical filter into a cylindrical coffeepot at the rate of 9 in./ min. Com...

A: Given:Coffee is draining from a conical filter into a cylinde rcoffee pot at the rateof 9 in3/min.To...

Q: A company that manufactures pet toys calculates that its costs and revenue can be modeled by the equ...

A:

Q: d. lim f(x) e. lim f(x) c. lim f(x)

A: d.limx→2+f(x)= ?f(x)=2x ; x≥2limx→2+f(x)=limx→2+ 2x=2×2=4limx→2+f(x) =4e.limx→2-f(x) =?f(x)= x ; 1≤x...

Q: Use a graph to determine whether the given function is continuous on its domain. HINT [See Example 1...

A: Given function hx=1+x2   if x≠06          if x=0To find  : point of discontinuitylimx→0+hx=limx→0+ 1...

Q: Edit Find a formula for the graph shown in the figure in terms of sin x or cos x. 15 5 -10f(x)+ 5 37...

A: Here mid line is y=5. Amplitude is 10 ( graph is above and below the mid line 10 units.)

Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...

A: We have to find where Left Hand Limit= Right Hand Limit= function value 

Q: Solve the following equation; domain 0 sx< 3600; 2 cose+ 1 = 0 %3D 60 120 300 240 O O O

A:

Q: Find the critical point(s) of the function. S(x, y) = 4e²-}+4y

A:

Q: Find the area under the curve Y 0.5x- 1.5 from x = 9 to x = t and evaluate it for t 10 , t curve for...

A: The curve y=0.5x-1.5

Q: 2x Use substitution to evaluate the integral dx (x² + 3)°

A: We have to apply rules of integration to solve the problem Power rule: xn =( 1/n+1)(x)n-1

Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

A:

Q: find mayium. heisht hit)--2+ +8+ t19 which OF descibes LOX 15X5 +3Y-200 the Pollonins accurately He ...

A: We have to find the maximum height using the differenciation

Q: Find the area in the first quadrant that is inside the circle r = 4 sin 0 and outside the lemniscate...

A: We need to find area.   NOTE - As per our guidelines we can solve one question so please upload othe...

Q: 5. Find the eigenvalues and their corresponding eigenvectors for the following matrices: 4 00 (::) 4...

A:

Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its asy...

A:

Q: e dx (9+ e2=)

A:

Q: cos 2x 6. 4

A:

Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

A: